#### DMCA

## The domain wall/QFT correspondence (1999)

Venue: | JHEP |

Citations: | 41 - 2 self |

### Citations

5608 | The large N limit of superconformal field theories and supergravity
- Maldacena
- 1998
(Show Context)
Citation Context ...e is currently accumulating for a conjectured equivalence between M-theory or IIB superstring theory in an anti-de Sitter (adS) background and a superconformal field theory (SCFT) at the adS boundary =-=[1]-=- (for related earlier work see [2], [3]). The isometry group of the KK vacuum acts as the superconformal group on the SCFT at the adS boundary in the manner envisaged in earlier studies of singleton f... |

553 |
Hooft, A planar diagram theory for strong interactions
- ‘t
- 1974
(Show Context)
Citation Context ...satisfied only if we also take the limit N → ∞. For N finite, (6) is equivalent to keeping 6energies finite on the worldvolume while taking the low-energy limit. The N → ∞ limit is the ’t Hooft limit=-=[17]-=-. In either case, we now have H = 1 + g2 Y M N (α ′ ) 2 U (7−p) → g2 Y MN(α ′ ) −2 U (p−7) . (8) The string metric of (4) is singular at U = 0, so it is not yet clear whether the above ‘near-horizon’ ... |

388 | Supergravity and the large N limit of theories with sixteen supercharges,” Phys. Rev. D58
- Itzhaki, Maldacena, et al.
- 1998
(Show Context)
Citation Context ...meter space there is only one weakly coupled theory). This is essentially the argument of [1] in support of the adS/CFT correspondence, for which an extension to non-conformal cases was considered in =-=[15]-=-. One purpose of this paper is to show how the dual frame allows a uniform discussion of both the conformal and non-conformal cases. The conformal cases are those for which the dual frame is self-dual... |

178 | World-volume approach to absorption by non-dilatonic branes
- Klebanov
- 1997
(Show Context)
Citation Context ...conjectured equivalence between M-theory or IIB superstring theory in an anti-de Sitter (adS) background and a superconformal field theory (SCFT) at the adS boundary [1] (for related earlier work see =-=[2]-=-, [3]). The isometry group of the KK vacuum acts as the superconformal group on the SCFT at the adS boundary in the manner envisaged in earlier studies of singleton field theories [4] and branes ‘at t... |

178 |
Heterotic and type I string dynamics from eleven dimensions, Nucl.Phys. B460
- Hoˇrava, Witten
- 1996
(Show Context)
Citation Context ...symmetry group of the field theory on the domain wall is trivial as is the gauge group of the bulk IIA supergravity. In the p = 9 case the domain wall is the ‘M-boundary’ of the Hoˇrava-Witten theory =-=[40]-=-. The R-symmetry group is again trivial, as is the gauge group of the bulk D=11 supergravity theory. Acknowledgments KS would like to thank the organizers of the Amsterdam summer workshop on “String t... |

174 | The Holographic Bound in Anti-de Sitter Space
- Susskind, Witten
(Show Context)
Citation Context ...at the holographic energy scale of the boundary QFT is E ∼ U(5−p)/2 . (16) gY 1/2 MN This energy-distance relation leads to a holographic result for the number of states of string theory in adS space =-=[19, 18]-=-. From (14) we see that it is equivalent to E ∼ u . (17) In other words, the scale u introduced by the requirement that the adS metric in the dual frame take the same form for all p (including the con... |

155 | Vacuum interpolation in supergravity via super p-branes, Phys
- Gibbons, Townsend
- 1993
(Show Context)
Citation Context ...responds to the near-horizon limit of the corresponding brane solution of D=11 or IIB supergravity, which turns out to be one of the well-known Kaluza-Klein (KK) compactifications to an adS spacetime =-=[6]-=-. The (conjectured) equivalence of the bulk supergravity theory (more precisely the underlying M-theory or superstring theory) to the SCFT boundary theory nicely illustrates the holography principle1 ... |

92 |
Compact and Noncompact Gauged Supergravity Theories
- Günaydin, Romans, et al.
- 1986
(Show Context)
Citation Context ... to be related to new CSO(5 −k, k) gauged D=7 supergravity theories and CSO(6 −k, k) gauged D=5 supergravities respectively (the known non-compact gaugings of maximal D=5 supergravity can be found in =-=[37]-=-). Several of these supergravities are expected to be related to each other by dimensional reduction since the corresponding brane configurations are related by T-dualities. As yet there is no known b... |

78 | Brane intersections, anti-de Sitter spacetimes and dual superconformal theories,” Nucl. Phys. B533
- Boonstra, Peeters, et al.
- 1998
(Show Context)
Citation Context ...frame but there is a frame, the ‘dual’ frame, in which the singularity is again pushed out to infinity, and in this frame one finds a ‘vacuum’ solution of IIA supergravity with an adS8 ×S 2 10-metric =-=[10, 13]-=-. The ‘dual’ frame can be defined for general p as the one for which the tension of the dual (6 − p)-brane is independent of the dilaton. This implies that in the effective action the function of the ... |

70 |
Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes,” Nucl
- Sfetsos, Skenderis
- 1998
(Show Context)
Citation Context ...ctured equivalence between M-theory or IIB superstring theory in an anti-de Sitter (adS) background and a superconformal field theory (SCFT) at the adS boundary [1] (for related earlier work see [2], =-=[3]-=-). The isometry group of the KK vacuum acts as the superconformal group on the SCFT at the adS boundary in the manner envisaged in earlier studies of singleton field theories [4] and branes ‘at the en... |

62 | Macroscopic superstrings as interpolating solitons,” Phys. Lett. B332
- Duff, Gibbons, et al.
- 1994
(Show Context)
Citation Context ...nction multiplying the dual of the (p+2)-form field strength. It is a general property of p-brane solutions, except when p = 5, that the dual frame metric is the product of an adS space with a sphere =-=[14, 10, 13]-=-. When p = 5 one finds that the adS space is replaced by a Minkowski spacetime, so this case requires a separate discussion. In all cases, however, there is an ‘internal’ infinity in the dual metric, ... |

58 |
Domain walls from anti-de Sitter spacetime, Phys
- Lu, Pope, et al.
- 1997
(Show Context)
Citation Context ...ries in one lower dimension. One clue to a possible generalization of the adS/CFT correspondence is the fact that the adS metric in horospherical coordinates is a special case of a domain wall metric =-=[8]-=-. The isometry group of the generic D-dimensional domain wall spacetime is the Poincaré group in (D−1) dimensions. In the supergravity context a domain wall typically preserves half the supersymmetry ... |

58 | D0 Branes on T n and Matrix Theory
- Sen
- 1998
(Show Context)
Citation Context ...in the same near-horizon region in which the SYM theory is weakly coupled. This would seem to lead to a contradiction, but the issue of decoupling gravity in the case of D6 branes is rather intricate =-=[21, 22]-=-. 3 Gauged supergravities and domain-walls The dual frame formulation is natural from the supergravity point of view because the factorization of the geometry leads to an immediate identification of t... |

51 |
One Massless Particle Equals Two Dirac Singletons: Elementary Particles in a Curved Space.
- Flato, Fronsdal
- 1978
(Show Context)
Citation Context ...earlier work see [2], [3]). The isometry group of the KK vacuum acts as the superconformal group on the SCFT at the adS boundary in the manner envisaged in earlier studies of singleton field theories =-=[4]-=- and branes ‘at the end of the universe’ [5]. In the new approach the SCFT describes the dynamics of N near-coincident branes in the low-energy limit (or equivalently in the limit of decoupling gravit... |

43 |
Gauged supergravity vacua from intersecting
- Cowdall, Townsend
- 1998
(Show Context)
Citation Context ...on’ limit of the NS-5-brane of N=1 supergravity yields an S3 compactification of N=1 D=10 supergravity to a D=7 spacetime that can be interpreted as a domain-wall solution of the effective D=7 theory =-=[6, 9, 10]-=-. The latter can be identified with the SU(2)-gauged D=7 supergravity [11] coupled to an SU(2) super-Yang-Mills (SYM) multiplet, in accord with the fact that the isometry group of S3 is SU(2) × SU(2) ... |

41 |
Supersymmetric supermembrane vacua and singletons
- Bergshoeff, Duff
- 1987
(Show Context)
Citation Context ...up of the KK vacuum acts as the superconformal group on the SCFT at the adS boundary in the manner envisaged in earlier studies of singleton field theories [4] and branes ‘at the end of the universe’ =-=[5]-=-. In the new approach the SCFT describes the dynamics of N near-coincident branes in the low-energy limit (or equivalently in the limit of decoupling gravity). This limit corresponds to the near-horiz... |

41 |
Nieuwenhuizen, Gauged seven-dimensional supergravity
- Townsend, van
- 1983
(Show Context)
Citation Context ... N=1 D=10 supergravity to a D=7 spacetime that can be interpreted as a domain-wall solution of the effective D=7 theory [6, 9, 10]. The latter can be identified with the SU(2)-gauged D=7 supergravity =-=[11]-=- coupled to an SU(2) super-Yang-Mills (SYM) multiplet, in accord with the fact that the isometry group of S3 is SU(2) × SU(2) (the same S3 compactification is also applicable to the NS-5-branes of Typ... |

36 |
Noncompact Gaugings From Higher Dimensions
- Hull, Warner
- 1988
(Show Context)
Citation Context ...inearly realized. Moreover, this theory has a potential [29] of the right form to admit a 1/2 supersymmetric domain wall solution. The correctness of this identification follows from the observations =-=[30]-=- that the non-compact gauged N=8 supergravity theories can be obtained by ‘compactification’ of D=11 supergravity on hyperboloids of constant negative curvature, and that the contracted versions, such... |

33 |
Dimensional Reduction in Quantum Gravity, in ‘Salam Fest’ (World Scientific Co
- Hooft
- 1993
(Show Context)
Citation Context ...underlying M-theory or superstring theory) to the SCFT boundary theory nicely illustrates the holography principle1 that is widely believed to be a feature of any consistent theory of quantum gravity =-=[7]-=-. However, this principle also suggests that the adS/CFT correspondence is just a special case of a more general correspondence between supergravity theories (at least those that are effective theorie... |

24 |
Dilatonic p-brane solitons
- Lu, pope, et al.
- 1996
(Show Context)
Citation Context ...ction ∫ S = d p+2 x √ −g[R − 1 2 (∂φ)2 + 1 1 (9 − p)(7 − p) 2 R2eaφ ] (9) a = −√2(p − 3) √ p(9 − p) In this frame the adSp+2 linear dilaton vacuum is equivalent to the domain wall solution studied in =-=[17, 18, 8]-=-. The parameter ∆ used in [8] to characterize various kinds of domain 7 (10)wall solutions is in our case (D = p + 2) ∆ ≡ a 2 − 2(D − 1) D − 2 = −4(7 − p) 9 − p (11) with ∆adS = −2(D−1) D−2 the value... |

22 |
Gauged supergravity vacua in string theory
- Antoniadis, Bachas, et al.
- 1990
(Show Context)
Citation Context ...[9] as the near-horizon limit of intersecting 5-branes. In the context of N=1 supergravity (or the heterotic string theory) the S3 ×S 3 compactification yields the SO(4) gauged Freedman-Schwarz model =-=[35, 36]-=-. The same solution can be used to compactify either IIA or IIB supergravity, and one may then wonder what the effective D=4 theory is in these cases. The only obvious candidate is the SO(4, 4) gauged... |

18 |
Duality and Asymptotic
- Boonstra, Peeters, et al.
- 1997
(Show Context)
Citation Context ...on’ limit of the NS-5-brane of N=1 supergravity yields an S3 compactification of N=1 D=10 supergravity to a D=7 spacetime that can be interpreted as a domain-wall solution of the effective D=7 theory =-=[6, 9, 10]-=-. The latter can be identified with the SU(2)-gauged D=7 supergravity [11] coupled to an SU(2) super-Yang-Mills (SYM) multiplet, in accord with the fact that the isometry group of S3 is SU(2) × SU(2) ... |

17 |
A classification of compactifying solutions for d=11 supergravity,” Nucl. Phys. B241
- Castellani, Romans, et al.
- 1984
(Show Context)
Citation Context ...tent with the fact that the R-symmetry group of the D4-brane is SO(5). Passing over p = 5 we come to p = 6. Despite the problematic features of the 4 This is not included in a previous classification =-=[26]-=- of compactifying solutions of D=11 supergravity to D=4 because the D=4 spacetime is a domain wall spacetime rather than adS. 5 The linearly realized gauge group in this case is SO(8 − k); one would t... |

17 |
NonAbelian solitons in N=4 gauged supergravity and leading order string theory, Phys.Rev. D57
- Chamseddine, Volkov
- 1998
(Show Context)
Citation Context ...[9] as the near-horizon limit of intersecting 5-branes. In the context of N=1 supergravity (or the heterotic string theory) the S3 ×S 3 compactification yields the SO(4) gauged Freedman-Schwarz model =-=[35, 36]-=-. The same solution can be used to compactify either IIA or IIB supergravity, and one may then wonder what the effective D=4 theory is in these cases. The only obvious candidate is the SO(4, 4) gauged... |

12 |
Dilatonic p-brane solitons, Phys
- Lu, Pope, et al.
- 1996
(Show Context)
Citation Context ... 1 2 (9 − p)(7 − p)Nb e aφ ] (23) where a = −√2(p − 3) 4(p − 3) √ , b = . (24) p(9 − p) p(p − 7) 10In this frame the adSp+2 linear dilaton vacuum is equivalent to the domain wall solution studied in =-=[23, 24, 8]-=-. The parameter ∆ used in [8] to characterize various kinds of domain wall solutions is in our case (D = p + 2), ∆ ≡ a 2 − 2(D − 1) D − 2 = −4(7 − p) 9 − p (25) with ∆adS = −2(D−1) D−2 the value corre... |

12 |
The Potentials Of The Gauged N=8 Supergravity Theories,” Nucl. Phys. B253
- Hull, Warner
- 1985
(Show Context)
Citation Context ...lso the R-symmetry group of the D2-brane). The obvious candidate is the ISO(7) gauged supergravity [28] because only the SO(7) subgroup can be linearly realized. Moreover, this theory has a potential =-=[29]-=- of the right form to admit a 1/2 supersymmetric domain wall solution. The correctness of this identification follows from the observations [30] that the non-compact gauged N=8 supergravity theories c... |

9 |
Noncompact gaugings and critical points of maximal supergravity in seven-dimensions,” Nucl.Phys. B249
- Pernici, Pilch, et al.
- 1985
(Show Context)
Citation Context ...e previous section we would expect the effective D=7 theory to be an ISO(4) gauged D=7 maximal supergravity. No such theory is currently known but there is an SO(4, 1) gauged D=7 maximal supergravity =-=[34]-=-. There is also an SO(3, 2) theory. The known list cannot be complete, however, because it does not include the SU(2) gauged theory found by S1 reduction of the SU(2) gauged D=8 theory; the former is ... |

5 |
New gaugings of N=8 supergravity, Phys. Rev. D30
- Hull
- 1984
(Show Context)
Citation Context ...27]. Since the isometry group of S 6 is SO(7) we might expect the gauge group to be SO(7) (which is also the R-symmetry group of the D2-brane). The obvious candidate is the ISO(7) gauged supergravity =-=[28]-=- because only the SO(7) subgroup can be linearly realized. Moreover, this theory has a potential [29] of the right form to admit a 1/2 supersymmetric domain wall solution. The correctness of this iden... |

3 |
Why is the Matrix theory correct
- Seiberg
- 1997
(Show Context)
Citation Context ...in the same near-horizon region in which the SYM theory is weakly coupled. This would seem to lead to a contradiction, but the issue of decoupling gravity in the case of D6 branes is rather intricate =-=[21, 22]-=-. 3 Gauged supergravities and domain-walls The dual frame formulation is natural from the supergravity point of view because the factorization of the geometry leads to an immediate identification of t... |

3 |
Stainless super p-branes, Nucl.Phys. B456
- Lü, Pope, et al.
- 1995
(Show Context)
Citation Context ... 1 2 (9 − p)(7 − p)Nb e aφ ] (23) where a = −√2(p − 3) 4(p − 3) √ , b = . (24) p(9 − p) p(p − 7) 10In this frame the adSp+2 linear dilaton vacuum is equivalent to the domain wall solution studied in =-=[23, 24, 8]-=-. The parameter ∆ used in [8] to characterize various kinds of domain wall solutions is in our case (D = p + 2), ∆ ≡ a 2 − 2(D − 1) D − 2 = −4(7 − p) 9 − p (25) with ∆adS = −2(D−1) D−2 the value corre... |

3 |
M.: More gaugings of N=8 supergravity
- Hull
- 1984
(Show Context)
Citation Context ...ional reduction will lead to functions that are harmonic on E 8−k and hence to new ‘near-horizon’ limits, for which the effective D=4 theory is a CSO(8 − k, k) gauged supergravity (in the notation of =-=[31]-=-) 5 . Passing over p = 3 we come to p = 4. In this case we find an S 4 compactification of IIA supergravity. As mentioned earlier, this is just the S 4 compactification of D=11 supergravity in disguis... |

2 |
On gauged maximal supergravity
- Cowdall
- 1999
(Show Context)
Citation Context ...ctification of D=11 supergravity in disguise. This is consistent with the fact that the SO(5) gauged maximal D=6 supergravity is just the reduction on S 1 of the SO(5) gauged maximal D=7 supergravity =-=[32]-=-. It is also consistent with the fact that the R-symmetry group of the D4-brane is SO(5). Passing over p = 5 we come to p = 6. Despite the problematic features of the 4 This is not included in a previ... |

1 | N=8 gaugings revisited: an exhaustive classification
- Cordaro, Fré, et al.
(Show Context)
Citation Context ...ch we can also view as an S 6 × S 1 compactification of D=11 supergravity 4 . The effective gauged D=4 supergravity must be one of those found by Hull as these have recently been shown to be complete =-=[27]-=-. Since the isometry group of S 6 is SO(7) we might expect the gauge group to be SO(7) (which is also the R-symmetry group of the D2-brane). The obvious candidate is the ISO(7) gauged supergravity [28... |

1 |
Macroscopic superstrings as interpolating solitons, Phys
- Phys
- 1985
(Show Context)
Citation Context ...etric domain wall vacuum, and this domain wall solution is precisely the one found in the ‘near-horizon’ limit of the D6-brane. 2 3 This was originally obtained as an S reduction of D=11 supergravity =-=[13]-=-, but it can be viewed as an S2 compactification of IIA supergravity in which the RR 2-form field strength is proportional to the volume of the 2-sphere. 2The term ‘near-horizon’ is placed in quotes ... |