Spinors and the AdS/CFT correspondence

Henningson, Måns; Sfetsos, Konstadinos

doi:10.1016/s0370-2693(98)00559-0

Cited by 260 publications

(399 citation statements)

References 23 publications

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“…The relations (2.12), (2.17), (2.21) generalize the familiar relations [12] between masses of fields on AdS and scaling dimensions of the dual operators to domain wall/QFT involving warped geometries. In the next sections we apply this dictionary to the study of KK reductions of ten-dimensional strings on near horizon string-like backgrounds.…”

Section: Higher Spin Modesmentioning

confidence: 72%

“…For similar results on pure AdS spaces see [11,12]. We start by considering a massless scalar field moving freely on (2.1).…”

Section: Scalar Fieldsmentioning

confidence: 98%

“…Following [11,12] one can easily extend the above dictionary between masses and conformal dimensions to higher spin fields. One starts by constructing Green functions Φ 0 (z) defined as a solution of the field equations depending only on z (besides possible non trivial harmonic dependence on the sphere coordinates y which will be implicitly understood).…”

Section: Higher Spin Modesmentioning

confidence: 99%

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Supergravity Duals of Matrix String Theory

Morales¹,

Samtleben²

2002

J. High Energy Phys.

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We study holographic duals of type II and heterotic matrix string theories described by warped AdS 3 supergravities. By explicitly solving the linearized equations of motion around near horizon D-string geometries, we determine the spectrum of Kaluza-Klein primaries for type I, II supergravities on warped AdS 3 × S 7 . The results match those coming from the dual two-dimensional gauge theories living on the D-string worldvolumes. We briefly discuss the connections with the N = (8, 8), N = (8, 0) orbifold superconformal field theories to which type IIB/heterotic matrix strings flow in the infrared. In particular, we associate the dimension (h,h) = ( 3 2 , 3 2 ) twisted operator which brings the matrix string theories out from the conformal point (R 8 ) N /S N with the dilaton profile in the supergravity background.The familiar dictionary between masses and "scaling" dimensions of field and operators are modified by the presence of non-trivial warp factors and running dilatons. These modifications are worked out for the general case of domain wall/QFT correspondences between supergravities on warped AdS d+1 × S q geometries and super Yang-Mills theories with 16 supercharges.

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Section: Higher Spin Modesmentioning

confidence: 72%

“…For similar results on pure AdS spaces see [11,12]. We start by considering a massless scalar field moving freely on (2.1).…”

Section: Scalar Fieldsmentioning

confidence: 98%

Section: Higher Spin Modesmentioning

confidence: 99%

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Supergravity Duals of Matrix String Theory

Morales¹,

Samtleben²

2002

J. High Energy Phys.

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“…(101) they differ from each other only by higher order terms whose contribution to the action vanishes in the limit → 0. 8 The same can be said about the corresponding traces of the extrinsic curvatures. Then, taking into account that at the end of calculations we will perform the limit → 0, we conclude that the actions…”

Section: The Generalized Ads/cft Prescriptionmentioning

confidence: 99%

“…(110) 8 Here we are considering only those points close to the boundary in global coordinates which are mapped to x 0 = in Poincaré coordinates. The points in global coordinates which are mapped to the point at infinity in Poincaré coordinates are not relevant to our present purposes.…”

Section: The Generalized Ads/cft Prescriptionmentioning

confidence: 99%

Energy and the AdS/CFT correspondence

Minces

Rivelles

2001

J. High Energy Phys.

144

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We consider a scalar field theory on AdS in both minimally and non-minimally coupled cases. We show that there exist constraints which arise in the quantization of the scalar field theory on AdS which cannot be reproduced through the usual AdS/CFT prescription. We argue that the usual energy, defined through the stress-energy tensor, is not the natural one to be considered in the context of the AdS/CFT correspondence. We analyze a new definition of the energy which makes use of the Noether current corresponding to time displacements in global coordinates. We compute the new energy for Dirichlet, Neumann and mixed boundary conditions on the scalar field and for both the minimally and non-minimally coupled cases. Then, we perform the quantization of the scalar field theory on AdS showing that, for 'regular' and 'irregular' modes, the new energy is conserved, positive and finite. We show that the quantization gives rise, in a natural way, to a generalized AdS/CFT prescription which maps to the boundary all the information contained in the bulk. In particular, we show that the divergent local terms of the on-shell action contain information about the Legendre transformed generating functional, and that the new constraints for which the irregular modes propagate in the bulk are the same constraints for which such divergent local terms cancel out. In this situation, the addition of counterterms is not required. We also show that there exist particular cases for which the unitarity bound is reached, and the conformal dimension becomes independent of the effective mass. This phenomenon has no bulk counterpart.

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Real‐time response in AdS/CFT with application to spinors

Iqbal

Liu²

2009

Fortschritte der Physik

219

348

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We discuss a simple derivation of the real-time AdS/CFT prescription as an analytic continuation of the corresponding problem in Euclidean signature. We then extend the formalism to spinor operators and apply it to the examples of real-time fermionic correlators in CFTs dual to pure AdS and the BTZ black hole.Comment: 28 pages, to appear in the Proceedings of the 4-th RTN "Forces-Universe" Workshop; v2: references added, minor clarifications in text, v3: improved discussion regarding overall sign

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Spinors and the AdS/CFT correspondence

Cited by 260 publications

References 23 publications

Supergravity Duals of Matrix String Theory

Supergravity Duals of Matrix String Theory

Energy and the AdS/CFT correspondence

Real‐time response in AdS/CFT with application to spinors

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