Supersymmetric domain wall and RG flow from 4-dimensional gauged N=8 supergravity
TL;DR: In this paper, the authors studied the superpotential of scalar potential of RG flows in three-dimensional boundary conformal field theory from UV fixed point to IR fixed point, and derived the first-order BPS domain-wall solutions.
About: This article is published in Nuclear Physics.The article was published on 2001-04-02 and is currently open access. It has received 83 citations till now. The article focuses on the topics: N=8 Supergravity & Supergravity.
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TL;DR: In this article, the authors constructed the M-theory solution dual to a flow in which a single chiral multiplet is given a mass, and the theory goes to a new infra-red fixed point.
145 citations
Cites background from "Supersymmetric domain wall and RG f..."
...The analogue of the LS flow in four dimensions is the N =2 supersymmetric RG flow in N = 8, four-dimensional gauged supergravity constructed in [24,25]....
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...More recently this supergravity solution was studied from the fourdimensional perspective in the context of RG flows of the scalar-fermion theory [24,25]....
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...on λ and λ fields has been obtained in [21-25]....
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TL;DR: In this paper, the SU(3)-invariant sector of four-dimensional, gauged supergravity was studied and the complete scalar spectrum at each of the five non-trivial critical points was computed.
Abstract: Motivated by the recent use of certain consistent truncations of M-theory to study condensed matter physics using holographic techniques, we study the SU(3)-invariant sector of four-dimensional, gauged supergravity and compute the complete scalar spectrum at each of the five non-trivial critical points. We demonstrate that the smaller SU(4)− sector is equivalent to a consistent truncation studied recently by various authors and find that the critical point in this sector, which has been proposed as the ground state of a holographic superconductor, is unstable due to a family of scalars that violate the Breitenlohner–Freedman bound. We also derive the origin of this instability in 11 dimensions and comment on the generalization to other embeddings of this critical point which involve arbitrary Sasaki–Einstein seven manifolds. In the spirit of a resurging interest in consistent truncations, we present a formal treatment of the SU(3)-invariant sector as a U(1) × U(1) gauged supergravity theory coupled to one hypermultiplet.
135 citations
Cites background from "Supersymmetric domain wall and RG f..."
...[20],[19]): P = 2g(2) [ 4 g ∂W ∂z ∂W ∂z̄ + 4 gij ∂W ∂ζi ∂W ∂ζ̄j − 3W(2) ] , (2....
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...then the two “holomorphic” superpotentials [20], obtained as eigenvalues of the A1-tensor (2....
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...The scalar potential in the SU(3)-invariant sector was first calculated in [14] and more recently expressed using a complex superpotential in [20] (see also [19])....
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TL;DR: In this article, the authors used maximal gauged supergravity in four dimensions to construct the gravity dual of a class of supersymmetric conformal interfaces in the theory on the world volume of multiple M2-branes.
Abstract: We use maximal gauged supergravity in four dimensions to construct the gravity dual of a class of supersymmetric conformal interfaces in the theory on the worldvolume of multiple M2-branes. We study three classes of examples in which the (1+1)-dimensional defects preserve (4, 4), (0, 2) or (0, 1) supersymmetry. Many of the solutions have the maximally supersymmetric AdS
4 vacuum dual to the $ \mathcal{N} $
= 8 ABJM theory on both sides of the interface. We also find new special classes of solutions including one that interpolates between the maximally supersymmetric vacuum and a conformal fixed point with $ \mathcal{N} $
= 1 supersymmetry and G2 global symmetry. We find another solution that interpolates between two distinct conformal fixed points with $ \mathcal{N} $
= 1 supersymmetry and G2 global symmetry. In eleven dimensions, this G2 to G2 solution corresponds to a domain wall across which a magnetic flux reverses orientation.
106 citations
TL;DR: In this paper, a detailed study of D = 4 = 4, N = 8, and N = 1 of supergravity with a dyonically gauged SI gauge group is performed and the Lagrangian and duality hierarchies are described.
Abstract: Motivated by its well defined higher dimensional origin, a detailed study of D = 4 $$ \mathcal{N}=8 $$
supergravity with a dyonically gauged $$ \mathrm{I}\mathrm{S}\mathrm{O}(7)=\mathrm{SO}(7)\ltimes {\mathbb{R}}^7 $$
gauge group is performed. We write down the Lagrangian and describe the tensor and duality hierarchies, focusing on an interesting subsector with closed field equations and supersymmetry transformations. We then truncate the $$ \mathcal{N}=8 $$
theory to some smaller sectors with $$ \mathcal{N}=2 $$
and $$ \mathcal{N}=1 $$
supersymmetry and SU(3), G2 and SO(4) bosonic symmetry. Canonical and superpotential formulations for these sectors are given, and their vacuum structure and spectra is analysed. Unlike the purely electric ISO(7) gauging, the dyonic gauging displays a rich structure of vacua, all of them AdS. We recover all previously known ones and find a new $$ \mathcal{N}=1 $$
vacuum with SU(3) symmetry and various non-supersymmetric vacua, all of them stable within the full $$ \mathcal{N}=8 $$
theory.
105 citations
References
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TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
Abstract: We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds. This is shown bytaking some branes in the full M/string theory and thentaking a low-energy limit where the field theory on thebrane decouples from the bulk. We observe that, in this limit, we can still trust thenear-horizon geometry for large N. The enhancedsupersymmetries of the near-horizon geometry correspondto the extra supersymmetry generators present in thesuperconformal group (as opposed to just the super-Poincaregroup). The 't Hooft limit of 3 + 1 N = 4 super-Yang–Mills at the conformal pointis shown to contain strings: they are IIB strings. Weconjecture that compactifications of M/string theory on various anti-de Sitterspacetimes is dual to various conformal field theories.This leads to a new proposal for a definition ofM-theory which could be extended to include fivenoncompact dimensions.
15,567 citations
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, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
11,887 citations
Posted Content•
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
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 $\N=4$ super Yang-Mills theory in four dimensions. With some further assumptions, one can deduce a Hamiltonian version of the correspondence and show that the $\N=4$ theory has a large $N$ phase transition related to the thermodynamics of $AdS$ black holes.
8,751 citations
Book•
03 Mar 1992
TL;DR: The second edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess as discussed by the authors, where the authors presented a general supersymmetric gauge invariant theory of chiral fields interacting with supergravity.
Abstract: The first edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess. Since the appearance of the first edition much work has been done on the development of phenomenological models of particle behavior based on the supergravity multiplet. Some experimental searches have been carried out and others are planned for the future. For this reason the second edition of the book goes substantially beyond the first. Six new chapters have been added for a total of twenty-six and five new appendices for a total of seven. The new chapters and appendices are primarily aimed at deriving the most general supersymmetric gauge invariant theory of chiral fields interacting with supergravity and expressing it in component form. The book is divided into three sections. After a brief introduction, the first part of the book deals with a description of N=1 supersymmetric non-abelian rigid gauge theory of chiral fields. The second part of the book develops a local supersymmetric theory which is supergravity. The final part describes the coupling of supersymmetric chiral fields to supergravity in a gauge invariant way. The book may be recommended as a pedagogical introduction tomore » the theory of N=1 supergravity. Together with the appendices is is completely self-contained, both in notation and in the concepts used, requiring only some knowledge of field theory as a background.« less
3,834 citations