Showing papers on "Higher-dimensional supergravity published in 1998"
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Abstract: Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a compact manifold. Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity. In particular, dimensions of operators in conformal field theory are given by masses of particles in supergravity. As quantitative confirmation of this correspondence, we note that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of ${\cal N}=4$ super Yang-Mills theory in four dimensions. With some further assumptions, one can deduce a Hamiltonian version of the correspondence and show that the ${\cal N}=4$ theory has a large $N$ phase transition related to the thermodynamics of $AdS$ black holes.
14,084 citations
TL;DR: In this paper, the authors consider field theories with sixteen supersymmetries, which include U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions.
Abstract: We consider field theories with sixteen supersymmetries, which include U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions. We study this by considering a system of D-branes in string theory and then taking a limit where the brane world volume theory decouples from gravity. At the same time we study the corresponding D-brane supergravity solution and argue that we can trust it in certain regions where the curvature (and the effective string coupling, where appropriate) are small. The supergravity solutions typically have several weakly coupled regions and interpolate between different limits of string M theory. {copyright} {ital 1998} {ital The American Physical Society}
1,228 citations
TL;DR: In this paper, the role of N = 4 conformal supergravity in the duality relation between D = 5 gauged supergravity expanded near the anti-de Sitter background is considered.
408 citations
TL;DR: In this paper, the authors studied static, spherically symmetric, and purely magnetic solutions of the $N=4$ supergravity in four dimensions, which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and globally hyperbolic, everywhere regular geometry.
Abstract: We study static, spherically symmetric, and purely magnetic solutions of the $N=4$ gauged supergravity in four dimensions A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry We show that the theory in which these solutions arise can be obtained via compactification of ten-dimensional supergravity on the group manifold This result is then used to lift the solutions to ten dimensions
168 citations
TL;DR: In this article, the spectrum of states of IIB supergravity on AdS 5 × 5 in a manifest SU(2, 2 4 ) invariant setting is discussed and boundary fields are described in terms of N = 4 superconformal Yang-Mills theory.
137 citations
TL;DR: In this article, a covariant eleven-dimensional supergravity action based on a three-form and six-form gauge field was constructed in a duality-symmetric manner.
119 citations
TL;DR: In this paper, the dimensional reduction/compactification of supergravity, string and M-theories on tori with one time-like circle was considered, and the coset spaces in which the massless scalars take their values were identified.
113 citations
TL;DR: In this article, the authors considered the higher-order black-hole solutions in terms of symplectic Sp(2n+2) vectors and applied the formalism to N=2 type-IIA Calabi-Yau string compactifications.
111 citations
TL;DR: In this article, a simple form of the Type IIB string action on AdS 5 × S 5 was presented, which is achieved by fixing κ -symmetry in the Killing spinor gauge defined by the projector of the D3 brane.
105 citations
TL;DR: In this article, a general form for eleven-dimensional supersymmetry was considered and a conformal Spin (1,10) connection was introduced, which is compatible with on-shell superfields, but does not admit a supersymmetric eight-brane soliton.
99 citations
TL;DR: In this paper, a manifestly Lorentz invariant and supersymmetric component field action for D = 10, type IIB supergravity, using a newly developed method for the construction of actions with chiral bosons, which implies only a single scalar non propagating auxiliary field.
Abstract: We present a manifestly Lorentz invariant and supersymmetric component field action for D = 10, type IIB supergravity, using a newly developed method for the construction of actions with chiral bosons, which implies only a single scalar non propagating auxiliary field. With the same method we construct also an action in which the complex two-form gauge potential and its Hodge-dual, a complex six-form gauge potential, appear in a symmetric way in compatibility with supersymmetry and Lorentz invariance. The duals of the two physical scalars of the theory turn out to be described by a SL(2,) triplet of eight-forms whose curvatures are constrained by a single linear relation. We present also a supersymmetric action in which the basic fields and their duals, six-form and eight-form potentials, appear in a symmetric way. All these actions are manifestly invariant under the global SL(2,)-duality group of D = 10, IIB supergravity and are equivalent to each other in that their dynamics corresponds to the well known equations of motion of D = 10, IIB supergravity.
TL;DR: In this paper, the modular invariant U(1)-violating interaction of sixteen complex spin-1 2 fermions of ten-dimensional type IIB theory is discussed.
TL;DR: In this paper, it was shown that the D =3, G 2(+2) / SO (4) nonlinear sigma model of D =5 supergravity resembles D =11 supergravity in many respects.
TL;DR: In this paper, a general class of solutions comprising all known BPS rotating black hole solutions is obtained, including all known rotating BPS solutions with abelian vector multiplets.
TL;DR: In this article, the authors discuss the large N limit of the (2.0) field theory in six dimensions and compute the spectrum of primary operators of the conformal algebra of arbitrary spin.
TL;DR: In this article, the leading terms in the long-range interaction potential between an arbitrary pair of matrix theory objects are calculated at one-loop order for arbitrary fermionic background field configurations.
Abstract: The leading terms in the long-range interaction potential between an arbitrary pair of matrix theory objects are calculated at one-loop order. This result generalizes previous calculations by including arbitrary fermionic background field configurations. The interaction potential at orders 1/r^7 and 1/r^8 is shown to correspond precisely with the leading terms expected from linearized supergravity interactions between arbitrary objects in M-theory. General expressions for the stress tensor, membrane current and 5-brane current of an arbitrary matrix configuration are derived, including fermionic contributions. Supergravity effects which are correctly reproduced include membrane/5-brane interactions, 0-brane/6-brane interactions, supercurrent/supercurrent interactions and the spin contributions to moments of the supergravity currents. The matrix theory description of the supergravity stress tensor, membrane current and 5-brane current are used to propose an explicit formulation of matrix theory in an arbitrary background metric and 3-form field.
TL;DR: In this paper, a supergravity dual for the (1, 0) superconformal field theory in six dimensions has been proposed by replacing the 4-sphere by a 4-hemisphere or, equivalently, by orbifolding the 4sphere.
TL;DR: In this article, quadratically divergent supergravity one-loop effects on soft supersymmetry-breaking parameters and the $\mu$ term in generic hidden sector supergravity models are investigated.
Abstract: We compute quadratically divergent supergravity one-loop effects on soft supersymmetry-breaking parameters and the $\mu$ term in generic hidden sector supergravity models. These effects can significantly modify the matching condition for soft parameters at the Planck scale and also provide several new sources of the $\mu$ term which are naturally of order the weak scale. We also discuss some phenomenological implications of these effects, particularly the violation of the scalar mass universality which may lead to dangerous FCNC phenomena, and apply the results to superstring effective supergravity models.
TL;DR: In this article, it was shown that the covariant formulation for chiral p-forms in 2(p+1) dimensions with p even can be naturally extended to supersymmetric theories.
TL;DR: In this article, a consistent theory of N = 1 supergravity in twelve-dimensions with the signature (10,2) was presented, even though the formulation uses two null vectors violating the manifest Lorentz covariance, all the superspace Bianchi identities are satisfied.
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TL;DR: In this paper, the authors describe conformal operators living at the boundary of AdSd+1 in a general setting, and give the general contribution of a primary conformal operator to the OPE and Green's functions of primary fields, which may be relevant to compute string corrections to the four-point supergraviton amplitude in Anti-de-Sitter space.
Abstract: We describe conformal operators living at the boundary of AdSd+1 in a general setting. Primary conformal operators at the threshold of the unitarity bounds of UIR’s of O(d,2) correspond to singletons and massless fields in AdSd+1, respectively. For maximal supersymmetric theories in AdSd+1 we describe “chiral” primary short supermultiplets and non-chiral primary long supermultiplets. Examples are exhibited which correspond to KK and string states. We give the general contribution of a primary conformal operator to the OPE and Green’s functions of primary fields, which may be relevant to compute string corrections to the four-point supergraviton amplitude in Anti-de-Sitter space.
TL;DR: In this paper, the complete coupling of (2,0) supergravity in six dimensions to n tensor multiplets, extending previous results to all orders in the fermi fields, was constructed.
TL;DR: In this paper, the assumptions behind the recently conjectured relation between gauge theory and supergravity are elaborated and the relation between the conformal field theory and anti-de Sitter supergravity emerges.
TL;DR: In this article, the authors obtained three and four dimensional conformal field theories with less than maximal supersymmetry by using their supergravity duals, which were obtained from the spherically compactified ten and eleven dimensional theories by either Hopf reduction or by winding the U(1) fiber over the base.
Abstract: We obtain three and four dimensional conformal field theories with less than maximal supersymmetry by using their supergravity duals. These supergravity theories are type II on $AdS_5 \times CP^2$, IIA on $AdS_4 \times CP^3$, IIB on $AdS_5 \times S^5/Z_k$ and D=11 supergravity on $AdS_4 \times S^7/Z_k$. They are obtained from the spherically compactified ten and eleven dimensional theories by either Hopf reduction or by winding the U(1) fiber over the base.
TL;DR: In this article, it was shown that five-dimensional anti de-Sitter space remains a solution to low-energy type IIB supergravity when the leading higher-derivative corrections to the classical supergravity (which are non-perturbative in the string coupling) are included.
Abstract: We show that five-dimensional anti de-Sitter space remains a solution to low-energy type IIB supergravity when the leading higher-derivative corrections to the classical supergravity (which are non-perturbative in the string coupling) are included. Furthermore, at this order in the low energy expansion of the IIB theory the graviton two-point and three-point functions in $AdS_5 \times S^5$ are shown not to be renormalized and a precise expression is obtained for the four-graviton and related S-matrix elements. By invoking Maldacena's conjectured connection between IIB superstring theory and supersymmetric Yang-Mills theory corresponding statements are obtained concerning correlation functions of the energy-momentum tensor and related operators in the large-N Yang-Mills theory. This leads to interesting non-perturbative statements and insights into the r\^ole of instantons in the gauge theory.
TL;DR: In this article, a theory of N = 2 chiral supergravity in (10+2)-dimensions is presented, which is similar to N = 1 supergravity presented recently using null-vectors in 12D.
TL;DR: In this article, the authors obtained supersymmetric brane-like configurations in the vacuum of N = 4 gauged SU (2)× SU(2) supergravity theory in four spacetime dimensions.
TL;DR: In this article, the authors show that this theory suffers from a gravitational anomaly equal to 4/7 of the pure N=(4,0) supergravity anomaly, and discuss the obstruction in defining this theory in D=6, starting from an N=6 fivedimensional string model in the decompactification limit.
TL;DR: In this article, the complete structure of curvature squared terms is analyzed in the context of chirally extended supergravity, with special emphasis on the gravitationally induced Fayet-Iliopoulos D-term.
Abstract: The complete structure of curvature squared terms is analyzed in the context of chirally extended supergravity, with special emphasis on the gravitationally induced Fayet-Iliopoulos D-term. Coupling of (chiral) matter is discussed in relation with a possible extension to (7(1) supergravity of the equivalence mechanism between R + αR2 and General Relativity coupled to a scalar. a Unite Propre de Recherche 7061