Showing papers on "Non-critical string theory published in 2000"
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
5,610 citations
TL;DR: In this paper, the authors studied the spectrum of bosonic string theory on AdS_3 and showed that the model has a symmetry relating string configurations with different winding numbers, which leads to a precise description of long strings.
Abstract: In this paper we study the spectrum of bosonic string theory on AdS_3. We study classical solutions of the SL(2,R) WZW model, including solutions for long strings with non-zero winding number. We show that the model has a symmetry relating string configurations with different winding numbers. We then study the Hilbert space of the WZW model, including all states related by the above symmetry. This leads to a precise description of long strings. We prove a no-ghost theorem for all the representations that are involved and discuss the scattering of the long string.
498 citations
TL;DR: In this paper, the perturbative unitarity of noncommutative scalar field theories is studied and it is shown that field theories with only space non-commutativity are perturbatively unitary.
493 citations
TL;DR: In this article, it was shown that the condensation of the tachyon mode alone into the stationary point of its cubic potential cancels about 70% of the Dbrane tension.
Abstract: It has been conjectured that at a stationary point of the tachyon potential for the D-brane of bosonic string theory, the negative energy density exactly cancels the D-brane tension. We evaluate this tachyon potential by off-shell calculations in open string field theory. Surprisingly, the condensation of the tachyon mode alone into the stationary point of its cubic potential is found to cancel about 70% of the D-brane tension. Keeping relevant scalars up to four mass levels above the tachyon, the energy density at the shifted stationary point cancels 99% of the D-brane tension.
446 citations
TL;DR: In this paper, the authors show that the tension of the D25-brane is cancelled by tachyon condensation and compute exactly the profiles and tensions of lower dimensional D-branes.
Abstract: The study of open string tachyon condensation in string field theory can be drastically simplified by making an appropriate choice of coordinates on the space of string fields. We show that a very natural coordinate system is suggested by the connection between the worldsheet renormalization group and spacetime physics. In this system only one field, the tachyon, condenses while all other fields have vanishing expectation values. These coordinates are also well-suited to the study of D-branes as solitons. We use them to show that the tension of the D25-brane is cancelled by tachyon condensation and compute exactly the profiles and tensions of lower dimensional D-branes.
418 citations
TL;DR: In this paper, the authors considered string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold, and the fundamental Planck size string and the large N QCD string appear as (two different wavefunctions of) one and the same object.
410 citations
TL;DR: In this paper, the authors present Poincare-invariant domain wall (''three-brane'') solutions to some five-dimensional effective theories which can arise naturally in string theory.
Abstract: We present Poincare-invariant domain wall (''three-brane'') solutions to some five-dimensional effective theories which can arise naturally in string theory. In particular, we find theories where Poincare-invariant solutions exist for arbitrary values of the brane tension, for certain restricted forms of the bulk interactions. We describe examples in string theory where it would be natural for the quantum corrections to the tension of the brane (arising from quantum fluctuations of modes with support on the brane) to maintain the required form of the action. In such cases, the Poincare-invariant solutions persist in the presence of these quantum corrections to the brane tension, so that no 4D cosmological constant is generated by these modes. (c) 2000 The American Physical Society.
369 citations
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TL;DR: In this article, the authors generalize recent results on tachyon condensation in boundary string field theory to the superstring and show that the result can be generalized to the general superstring.
Abstract: We generalize recent results on tachyon condensation in boundary string field theory to the superstring.
315 citations
TL;DR: In this paper, the non-commutative geometry of a large auxiliary B-field simplifies the construction of D-branes as solitons in open string field theory.
Abstract: The non-commutative geometry of a large auxiliary B-field simplifies the construction of D-branes as solitons in open string field theory. Similarly, fundamental strings are constructed as localized flux tubes in the string field theory. Tensions are determined exactly using general properties of non-BPS branes, and the non-abelian structure of gauge fields on coincident D-branes is recovered.
269 citations
TL;DR: A brief review of the current state of knowledge on ''little string theories'' can be found in this article, where the authors focus on the six-dimensional maximally supersymmetric "little string theory" and describe their simple properties, motivations for studying them, the discrete lightcone quantization and holographic constructions of these theories and their behaviour at finite energy density.
Abstract: This is a brief review of the current state of knowledge on `little string theories', which are non-gravitational theories having several string-like properties. We focus on the six-dimensional maximally supersymmetric `little string theories' and describe their definition, some of their simple properties, the motivations for studying them, the discrete lightcone quantization and holographic constructions of these theories and their behaviour at finite energy density.
268 citations
TL;DR: In this paper, a minimal embedding of the Standard Model spectrum in a D-brane configuration of type I string theory is proposed, which is neither grand unified nor supersymmetric but leads to the right prediction of the weak angle for a string scale of the order of a few TeV.
TL;DR: In this paper, a non-critical string theory on a noncommutative spacetime was proposed, where the critical electric field prevents the theory from becoming a field theory on the non-computable spacetime.
Abstract: Searching for space/time noncommutativity we reconsider open strings in a constant background electric field The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond which the theory does not make sense We show that this critical field prevents us from finding a limit in which the theory becomes a field theory on a noncommutative spacetime However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime
TL;DR: In this article, the leading behavior of the quark-anti-quark potential from a generalized Nambu-Goto action associated with a curved space-time having an "extra dimension" was computed.
TL;DR: The properties of N = 2 superstrings on AdS3 × are studied in this paper, where the spectrum has the same pattern as 2-d CFTs in the moduli space of symmetric products p/Sp, where p is associated with the number of long fundamental strings required to construct the AdS 3 background, and is the spacetime CFT corresponding to short string excitations of a single long string.
Abstract: Some properties of N = 2 superstrings on AdS3 × are studied. Their spectrum has the same pattern as 2-d CFTs in the moduli space of symmetric products p/Sp, where p is associated with the number of long fundamental strings required to construct the AdS3 background, and is the spacetime CFT corresponding to short string excitations of a single long string. Worldsheet operators associated with w long strings correspond to twisted sectors of p/Sp.
TL;DR: In this paper, an efficient recursive method to evaluate the tachyon potential using the relevant universal subalgebra of the open string star algebra was developed, which avoids explicit computation of conformal transformations of operators and does not require a choice of background.
Abstract: We develop an efficient recursive method to evaluate the tachyon potential using the relevant universal subalgebra of the open string star algebra. This method, using off-shell versions of Virasoro Ward identities, avoids explicit computation of conformal transformations of operators and does not require a choice of background. We illustrate the procedure with a pedagogic computation of the level six tachyon potential in an arbitrary gauge, and the evaluation of a few simple star products. We give a background independent construction of the so-called identity of the star algebra, and show how it fits into family of string fields generating a commutative subalgebra.
TL;DR: It is conjectured that strongly coupled, spatially noncommutative Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings as discussed by the authors.
Abstract: It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.
TL;DR: In this paper, a D-instanton or physical gauge approach was used to derive the heterotic string worldsheet instanton contribution to the superpotential in Calabi-Yau compactification.
Abstract: We use a D-instanton or physical gauge approach to re-derive the heterotic string worldsheet instanton contribution to the superpotential in Calabi-Yau compactification. We derive an analogous formula for worldsheet instanton corrections to the moduli space metric in heterotic string or type-I compactification on a K3 surface. In addition, we give a global analysis of the phase of the worldsheet path integral of the heterotic string, showing precisely how the B-field must be interpreted.
TL;DR: In this paper, the role of microscopic and macroscopic states in the space-time current algebra for string theory on AdS 3 has been clarified, and the conformal field theory prerequisites for a future study of the factorization of amplitudes for string theories on the boundary are provided.
TL;DR: In this paper, exact solitons in a large class of noncommutative gauge theories were found using a simple solution generating technique, where the soliton in the effective field theory description of open string field theory were interpreted as D-branes for any value of the non-commutativity.
Abstract: We find exact solitons in a large class of noncommutative gauge theories using a simple solution generating technique. The solitons in the effective field theory description of open string field theory are interpreted as D-branes for any value of the noncommutativity. We discuss the vacuum structure of open string field theory in view of our results.
TL;DR: In this article, the authors examined the T-duality relation between 1+1 NCOS and the DLCQ limit of type-IIA string theory and showed that, as long as there is a compact dimension, one can meaningfully define an NCOS limit of IIB/A string theory even in the absence of D-branes (and even if there is no B-field).
Abstract: We examine the T-duality relation between 1+1 NCOS and the DLCQ limit of type-IIA string theory. We show that, as long as there is a compact dimension, one can meaningfully define an ``NCOS'' limit of IIB/A string theory even in the absence of D-branes (and even if there is no B-field). This yields a theory of closed strings with strictly positive winding, which is T-dual to DLCQ IIA/B without any D-branes. We call this the type-IIB/A Wound String Theory. The existence of decoupled sectors can be seen directly from the energy spectrum, and mirrors that of the DLCQ theory. It becomes clear then that all of the different p+1 NCOS theories are simply different states of this single Wound IIA/B theory which contain D-branes. We study some of the properties of this theory. In particular, we show that upon toroidal compactification, Wound String Theory is U-dual to various Wrapped Brane theories which contain OM theory and the ODp theories as special states.
TL;DR: In this article, the bosonic sectors of the eleven-dimensional and IIA supergravity theories are derived as non-linear realisations, including the conformal group, the general linear group and automorphisms of the supersymmetry algebra.
Abstract: The bosonic sectors of the eleven-dimensional and IIA supergravity theories are derived as non-linear realisations. The underlying group includes the conformal group, the general linear group and as well as automorphisms of the supersymmetry algebra. We discuss the supersymmetric extension and argue that Osp(1/64) is a symmetry of M-theory. We also derive the effective action of the closed bosonic string as a non-linear realisation.
TL;DR: In this paper, the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions is reviewed in the context of supersymmetric theories.
Abstract: We review modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions. In four-dimensional N = 2 compactifications of string theory or M-theory these modifications are crucial for finding agreement between the macroscopic entropy obtained from supergravity and the microscopic entropy obtained by counting states in string or M-theory. Our discussion is based on the effective Wilsonian action, which in the context of N = 2 supersymmetric theories is defined in terms of holomorphic quantities. At the end we briefly indicate how to incorporate non-holomorphic corrections.
TL;DR: In this article, the boundary string field theory description of brane-antibrane systems is given, and the tachyon potential and the Tachyon condensation are discussed exactly.
Abstract: In this paper we give the boundary string field theory description of brane-antibrane systems. From the world-sheet action of brane-antibrane systems we obtain the tachyon potential and discuss the tachyon condensation exactly. We also find the world-volume action including the gauge fields. Moreover we determine RR-couplings exactly for non-BPS branes and brane-antibranes. These couplings are written by superconnections and correspond to K^1(M) and K^0(M) for the non-BPS branes and brane-antibranes, respectively. We also show that Myers terms appear if we include the transverse scalars in the boundary sigma model action.
TL;DR: In this paper, the authors study non-perturbative aspects of non-commutative U(1) gauge theories and identify the string with the projection of a D-string ending on a D3-brane in the presence of a constant B-field.
Abstract: We study some non-perturbative aspects of non-commutative gauge theories. We find analytic solutions of the equations of motion, for non-commutative U(1) gauge theory, that describe magnetic monopoles with a finite tension string attached. These solutions are non singular, finite and sourceless. We identify the string with the projection of a D-string ending on a D3-brane in the presence of a constant B-field.
TL;DR: In this paper, the notion of a space-time uncertainty principle in string theory is clarified and further developed, and it is shown that string theories in 10 dimensions generically exhibit a characteristic length scale which is equal to the well-known 11 dimensional Planck length.
Abstract: The notion of a space-time uncertainty principle in string theory is clarified and further developed. The motivation and the derivation of the principle are first reviewed in a reasonably self-contained way. It is then shown that the nonperturbative (Borel summed) high-energy and high-momentum transfer behavior of string scattering is consistent with the space-time uncertainty principle. It is also shown that, as a consequence of this principle, string theories in 10 dimensions generically exhibit a characteristic length scale which is equal to the well-known 11 dimensional Planck length g 1/3 s
TL;DR: In this article, dual descriptions for the strong coupling limit of NCOS (non-commutative open string) theories in six or fewer spacetime dimensions were proposed, and the relation of OM theory to NCOS theories resembles that of M-theory to type-II closed string theories.
Abstract: Open string theories can be decoupled from closed strings and gravity by scaling to the critical electric field. We propose dual descriptions for the strong coupling limit of these NCOS (Non-Commutative Open String) theories in six or fewer spacetime dimensions. In particular, we conjecture that the 5-dimensional NCOS theory at strong coupling, is a theory of light Open Membranes (OM), decoupled from gravity, on an M5-brane with a near-critical three-form field strength. The relation of OM theory to NCOS theories resembles that of M-theory to type-II closed string theories. In two dimensions we conjecture that supersymmetric U(n) gauge theory with a unit of electric flux is dual to the NCOS theory with string coupling 1/n. A construction based on NS5-branes leads to new theories in six dimensions generalising the little string theory. A web of dualities relates all the above theories when they are compactified on tori.
TL;DR: In this paper, it has been conjectured that the tachyonic lump solution of the open bosonic string field theory describing a Dbrane represents a D-brane of one lower dimension.
Abstract: It has been conjectured that the tachyonic lump solution of the open bosonic string field theory describing a D-brane represents a D-brane of one lower dimension. We place the lump on a circle of finite radius and develop a variant of the level expansion scheme that allows systematic account of all higher derivative terms in the string field theory action, and gives a calculational scheme that can be carried to arbitrary accuracy. Using this approach we obtain lump masses that agree with expected D-brane masses to an accuracy of about 1%. We find convincing evidence that in string field theory the lump representing a D-brane is an extended object with a definite profile. A gaussian fit to the lump gives a 6-sigma size of 9.3√α'. The level truncation scheme developed here naturally gives rise to an infrared and ultraviolet cut-off, and may be useful in the study of quantum string field theory.
TL;DR: In this paper, non-supersymmetric toroidal compactifications of type I string theory with both constant background NSNS two-form flux and non-trivial magnetic flux on the various D9-branes are presented.
Abstract: We present non-supersymmetric toroidal compactifications of type I string theory with both constant background NSNS two-form flux and non-trivial magnetic flux on the various D9-branes. The non-vanishing B-flux admits four-dimensional models with three generations of chiral fermions in standard model like gauge groups. Additionally, we consider the orbifold T^4/Z_2, again with both kinds of background flux present, leading to non-supersymmetric as well as supersymmetric models in six dimensions. All models have T-dual descriptions as intersecting brane worlds.
TL;DR: In this paper, the size distribution of very massive single string states is studied and the mass shift, due to a long-range gravitational, dilatonic, and axionic attraction, is estimated.
TL;DR: In this paper, the authors determine the maximally symmetric backgrounds for the USp (32) Type I string and the SO (16)× SO(16) heterotic string.