Showing papers on "Topological string theory published in 2000"
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TL;DR: In this paper, a supersymmetric boundary interaction in N = 2 field theories on the half-space is constructed, which depend on parameters that are not at all renormalized or not renormalised in perturbation theory beyond one-loop.
Abstract: We construct a class of supersymmetric boundary interactions in N=2 field theories on the half-space, which depend on parameters that are not at all renormalized or not renormalized in perturbation theory beyond one-loop. This can be used to study D-branes wrapped on a certain class of Lagrangian submanifolds as well as holomorphic cycles. The construction of holomorphic D-branes is in close relationship with the background independent open string field theory approach to brane/anti-brane systems. As an application, mirror pairs of Lagrangian and holomorphic D-branes are identified. The mirror pairs are studied by twisting to open topological field theories.
155 citations
TL;DR: In this paper, duality relates an ordinary p-form field in one theory to a self-dual (p+1) field in another theory, and the duality can be recovered from a careful analysis of the quantum mechanics of the p+1-form.
Abstract: We explore two different problems in string theory in which duality relates an ordinary p-form field in one theory to a self-dual (p+1)-form field in another theory. One problem involves comparing D4-branes to M5-branes, and the other involves comparing the Ramond-Ramond forms in type-IIA and type-IIB superstring theory. In each case, a subtle topological effect involving the p-form can be recovered from a careful analysis of the quantum mechanics of the self-dual (p+1)-form.
140 citations
TL;DR: In this article, the authors describe numerical methods for constructing lump solutions in open string field theory and give credence to the conjecture itself and establish further the usefulness of Witten's version of SFT.
Abstract: We describe numerical methods for constructing lump solutions in open string field theory. According to Sen, these lumps represent lower dimensional Dp-Branes and numerical evaluation of their energy can be compared with the expected value for the tension. We take particular care of all higher derivative terms inherent in Witten's version of open string field theory. The importance of these terms for off shell phenomena is argued in the text. Detailed numerical calculations done for the case of general $p$ brane show very good agreement with Sen's conjectured value. This gives credence to the conjecture itself and establishes further the usefulness of Witten's version of SFT .
108 citations
TL;DR: In this paper, it was shown that orientable open string theory without GSO projection has N 2 space-time supersymmetry in a spontaneously broken phase, and the results support a fundamental assumption which lies behind the topological construction of stable D-branes starting from the unstable systems of D9branes.
48 citations
TL;DR: In this paper, the exact minimum of the tachyon potential in the Witten's cubic string field theory was studied and a simple alternative proof of the factorization was given, and a plausible conjecture about the exact form of the minimum was made.
Abstract: In the search for the exact minimum of the tachyon potential in the Witten's cubic string field theory we try to learn as much as possible from the string field theory in the large B-field background. We offer a simple alternative proof of the Witten's factorization, carry out the analysis of string field equations also for the non-commutative torus and find some novel relations to the algebraic K-theory. We note an intriguing relation between Chern-Simons and Chern classes of two non-commutative bundles. Finally we observe a certain pattern which enables us to make a plausible conjecture about the exact form of the minimum.
45 citations
KEK1
TL;DR: In this article, the authors considered Witten's open string field theory in the presence of a constant background of the second-rank antisymmetric tensor field Bij and constructed the overlap vertices explicitly.
Abstract: In this paper we consider Witten's bosonic open string field theory in the presence of a constant background of the second-rank antisymmetric tensor field Bij. We extend the operator formulation of Gross and Jevicki in this situation and construct the overlap vertices explicitly. As a result we find a noncommutative structure of the Moyal type only in the zero-mode sector, which is consistent with the result of the correlation functions among vertex operators in the world sheet formulation. Furthermore we find out a certain unitary transformation of the string field which absorbs the Moyal type noncommutative structure. It can be regarded as a microscopic origin of the transformation between the gauge fields in commutative and noncommutative gauge theories discussed by Seiberg and Witten.
38 citations
TL;DR: In this paper, it was shown that instanton-dominated Green's functions in N = 2 super Yang-Mills theories can be equivalently computed either using the so-called constrained instanton method or making reference to the topological twisted version of the theory.
35 citations
TL;DR: In this article, a simple derivation of vector supersymmetry transformations for topological field theories of Schwarz- and Witten-type is presented, similar to the BRST-transformations from the so-called horizontality conditions or russian formulae.
Abstract: We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarz- and Witten-type. Our method is similar to the derivation of BRST-transformations from the so-called horizontality conditions or russian formulae. We show that this procedure reproduces in a concise way the known vector supersymmetry transformations of various topological models (in particular of general relativity viewed as a topological-like model) and we use it to obtain some new transformations of this type for 4d topological YM-theories in different gauges.
30 citations
TL;DR: In this article, a U(N) Chern-Simons theory on noncommutative fields was constructed as a topological deformed field theory, which is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry.
Abstract: A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and $\q_{\m
}$-independent at the one loop level and that the calculations respect the restriction of the topological supersymmetry. Thus the topological $\q$-deformed Chern-Simons theory is an example of a model which is non-singular in the limit $\q \to 0$.
29 citations
TL;DR: In this paper, it was argued that D-brane charge takes values in K-homology for smooth manifolds with spin structure, and this could explain why the phase factor calculated with a Dbrane state x in IIB theory appears in Diaconescu, Moore and Witten's computation of the partition function of IIA string theory.
Abstract: It is argued that D-brane charge takes values in K-homology. For smooth manifolds with spin structure, this could explain why the phase factor $\Omega(x)$ calculated with a D-brane state x in IIB theory appears in Diaconescu, Moore and Witten's computation of the partition function of IIA string theory.
26 citations
TL;DR: In this paper, the boundary conditions can arise as constraints in a purely algebraic fashion within the Hamiltonian approach without any reference to the Lagrangian formulation of the theory, and the construction of the boundary Dirac brackets is also given and some subtleties are pointed out.
Abstract: Lately, to provide a solid ground for quantization of the open string theory with a constant B-field, it has been proposed to treat the boundary conditions as hamiltonian constraints.
It seems that this proposal is quite general and should be applicable to a wide range of models defined on manifolds with boundaries. The goal of the present paper is to show how the boundary conditions can arise as constraints in a purely algebraic fashion within the Hamiltonian approach without any reference to the Lagrangian formulation of the theory. The construction of the boundary Dirac brackets is also given and some subtleties are pointed out.
We consider four examples of field theories with boundaries: the topological sigma model, the open string theory with and without a constant $B$-field and electrodynamics with topological term.
A curious result for electrodynamics on a manifold with boundaries is presented.
TL;DR: In this paper, the integrability of the Berkovits-Siegel open string field equations was discussed and an infinite set of their non-local (solution-generating) symmetries were derived.
TL;DR: In this paper, the authors make a precision test of a recently proposed conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold, and they find complete agreement with the predictions derived from the target space interpretation of the string amplitudes.
Abstract: We make a precision test of a recently proposed conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold. First, we develop a systematic procedure to extract string amplitudes from vacuum expectation values (vevs) of Wilson loops in Chern-Simons gauge theory, and then we evaluate these vevs in arbitrary irreducible representations of SU(N) for torus knots. We find complete agreement with the predictions derived from the target space interpretation of the string amplitudes. We also show that the structure of the free energy of topological open string theory gives further constraints on the Chern-Simons vevs. Our work provides strong evidence towards an interpretation of knot polynomial invariants as generating functions associated to enumerative problems.
TL;DR: Topological Yang-Mills theory is derived in the framework of Lagrangian BRST cohomology as discussed by the authors, and PACS number: 11.10.Ef is derived from
Abstract: Topological Yang-Mills theory is derived in the framework of Lagrangian BRST cohomology. PACS number: 11.10.Ef
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TL;DR: In this article, the universal instanton formalism was used to discuss quantum effects in the open-closed topological string theory of a Calabi-Yau A-model, in the presence of a multiply-wrapped ''Floer' D-brane.
Abstract: I use the universal instanton formalism to discuss quantum effects in the open-closed topological string theory of a Calabi-Yau A-model, in the presence of a multiply-wrapped `Floer' D-brane. This gives a precise meaning (up to the issue of compactifying the relevant moduli spaces) to the instanton corrections which affect sigma model and topological string amplitudes. The cohomological formalism I use recovers the homological approach used by Fukaya and collaborators in the singly-wrapped case, even though it is not a naive generalization of the latter. I also prove some non-renormalization theorems for amplitudes with low number of insertions. The non-renormalization argument is purely geometric and based on the universal instanton formulation, and thus it does not assume that the background satisfies the string equations of motion. These results are valid even though the D-brane background typically receives worldsheet instanton corrections. I also point out that the localized form of the boundary BRST operator receives instanton corrections and make a few comments on the consequences of this effect.
TL;DR: In this article, the role of non-commutative Yang-Mills theory in string theory PACS number: 1125 and PACS PACS numbers: 0.1125
Abstract: I describe some recent developments concerning the role of non-commutative Yang- Mills theory in string theory PACS number: 1125
TL;DR: In this paper, a detailed study of the charge spectrum of three-dimensional Abelian Topological Massive Gauge Theory (TMGT) is given, where Narain constraints on toroidal compactification (integer, even, self-dual momentum lattice) have a natural interpretation in purely 3D terms.
TL;DR: In this paper, the authors consider the theory of closed $p$-branes propagating on space-time manifolds and study its canonical and BRST structures of the theory.
Abstract: We consider the theory of closed $p$-branes propagating on $(p+1)$-dimensional space-time manifolds. This theory has no local degrees of freedom. Here we study its canonical and BRST structures of the theory. In the case of locally flat backgrounds one can show that the $p$-brane theory is related to another known topological field theory. In the general situation some equivalent actions can also be written for the topological $p$-brane theory.
01 Apr 2000
TL;DR: In this paper, the observed properties of string breaking in lattice gauge models in presence of charged dynamical matter can be simply understood in terms of a topological property of the loop expansion in the underlying string description of confinement.
Abstract: Most of the observed properties of the string breaking in lattice gauge models in presence of charged dynamical matter can be simply understood in terms of a topological property of the loop expansion in the underlying string description of confinement. Similar considerations apply also to the breaking of the adjoint string.
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TL;DR: In this paper, the authors discuss unifying features of topological field theories in 2, 3 and 4 dimensions, including relations among enumerative geometry (2d topology field theory) link invariants (3d Chern-Simons theory) and Donaldson invariants(4d topological theory).
Abstract: We discuss unifying features of topological field theories in 2, 3 and 4 dimensions. This includes relations among enumerative geometry (2d topological field theory) link invariants (3d Chern-Simons theory) and Donaldson invariants (4d topological theory).
TL;DR: In this article, a generalized Yang-Mills action on Riemann surfaces was introduced, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional gravity.
Abstract: We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional gravity. The quantization of this theory in the unitary gauge can be consistently performed taking into account all the topological sectors arising from the gauge-fixing procedure. The resulting theory is naturally interpreted as a Matrix String Theory, that is as a theory of covering maps from a two-dimensional world-sheet to the target Riemann surface.
01 Jan 2000
TL;DR: In this article, an informal introduction to the concept of reflexive polyhedra and some of their most important applications in perturbative and non-perturbative string physics is given.
Abstract: This is an informal introduction to the concept of reflexive polyhedra and some of their most important applications in perturbative and non-perturbative string physics. Following the his- torical development, topics like mirror symmetry, gauged linear sigma models, and the geometrical structures relevant to string and F-theory dualities are discussed. Finally some recent developments concerning the classication of reflexive polyhedra are mentioned.
TL;DR: In this article, it was shown that cohomological quantum field theories associated with the Nahm equations can be derived from the Donaldson-Witten theory by a symmetry reduction with respect to a three-dimensional Abelian group.
Abstract: General aspects of symmetry reductions of topological/cohomological Yang-Mills theories are discussed. It is shown that cohomological quantum field theories associated with the Nahm equations can be derived from the Donaldson-Witten theory by a symmetry reduction with respect to a three-dimensional Abelian group.
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TL;DR: In this article, the authors review some recent results concerning multi-instanton calculus in supersymmetric field theories and show how these computations can be efficiently performed using the formalism of topological field theories.
Abstract: In this talk I review some recent results concerning multi-instanton calculus in supersymmetric field theories. More in detail, I will show how these computations can be efficiently performed using the formalism of topological field theories.
TL;DR: In this article, the authors studied the properties of the topologically nontrivial doublet solution arising in the biscalar theory with a fourth-power potential introducing an example of the spontaneous breaking of symmetry.
Abstract: We study the properties of the topologically nontrivial doublet solution arisen in the biscalar theory with a fourth-power potential introducing an example of the spontaneous breaking of symmetry. We rule out the zero-brane (nonminimal point particle) action for this doublet as a particle with curvature. When quantizing it as in the theory with higher derivatives, we calculate the quantum corrections to the mass of the doublet which could not be obtained by means of the perturbation theory.
TL;DR: In this article, a new approach to string dynamics is proposed, where string coordinates are identified with a non-commuting set of operators familiar from free string quantization, and the dynamics follows from the Virasoro algebra.
TL;DR: In this paper, the topological symmetry of the bosonic string in the framework of the BRST formalism has been analyzed, and it has been shown that the antiderivation, the Slavnov-Taylor, and the extended Ward operators generate a supersymmetric invariance of the Bosonic string.
Abstract: We exhibit the topological symmetry of the bosonic string in the framework ofthe BRST formalism. To get the Slavnov–Taylor symmetry independent of thediffeomorphism one, we extend the latter by introducing an antiderivation. Thenon the functional space, we establish that the antiderivation, the Slavnov–Taylor,and the extended Ward operators generate a supersymmetric invariance of thebosonic string.
TL;DR: In this paper, it was shown that the new polynomial invariants for knots, upto nine crossings, agree with the Ooguri-Vafa conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold.
Abstract: We explicitly show that the new polynomial invariants for knots, upto nine crossings, agree with the Ooguri-Vafa conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold.
01 Jan 2000
TL;DR: The fundamental problem facing string theory at present is the authors' inability to select its true vacuum nonperturbatively, so it is impossible to determine whether the theory predicts nonsense, and must be discarded as yet another failed attempt at a unified field theory, or gives a valid description of their universe and a unification of all known quantum forces.
Abstract: The fundamental problem facing string theory at present is our inability to select its true vacuum nonperturbatively. Until the true string vacuum can be discovered, it is impossible to determine whether the theory predicts nonsense, and must be discarded as yet another failed attempt at a unified field theory, or gives a valid description of our universe and a unification of all known quantum forces. The frustration is that string theory has been evolving backward, ever since its accidental discovery in 1968 by Veneziano and Suzuki, so its underlying geometry is totally unknown.