The holographic dictionary for Beta functions of multi-trace coupling constants

@article{Aharony2015TheHD,
  title={The holographic dictionary for Beta functions of multi-trace coupling constants},
  author={Ofer Aharony and Guy Gur-Ari and Nizan Klinghoffer},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2015},
  pages={1-29}
}
A bstractField theories with weakly coupled holographic duals, such as large N gauge theories, have a natural separation of their operators into ‘single-trace operators’ (dual to single-particle states) and ‘multi-trace operators’ (dual to multi-particle states). There are examples of large N gauge theories where the beta functions of single-trace coupling constants all vanish, but marginal multi-trace coupling constants have non-vanishing beta functions that spoil conformal invariance (even… 

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References

SHOWING 1-10 OF 38 REFERENCES

Wilsonian renormalisation and the exact cut-off scale from holographic duality

A bstractWe propose a method for determining the exact correspondence between the Wilsonian cut-off scale on the boundary and its holographically dual bulk theory. We systematically construct the

Double trace flows and holographic RG in dS/CFT correspondence

A bstractIf there is a dS/CFT correspondence, time evolution in the bulk should translate to RG flows in the dual euclidean field theory. Consequently, although the dual field is expected to be

Large N field theory and AdS tachyons

In non-supersymmetric orbifolds of = 4 super Yang-Mills, conformal invariance is broken by the logarithmic running of double-trace operators—a leading effect at large N. A tachyonic instability in

Holographic renormalization for irrelevant operators and multi-trace counterterms

We investigate the structure of holographic renormalization in the presence of sources for irrelevant operators. By working perturbatively in the sources we avoid issues related to the

Perturbative search for fixed lines in large-N gauge theories

The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation. Such operators provide

Multitrace deformations, Gamow states, and stability of AdS/CFT

We analyze the effect of multitrace deformations in conformal field theories at leading order in a large N approximation. These theories admit a description in terms of weakly coupled gravity duals.

Anti-de Sitter space and holography

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

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence

Abstract: We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a

Ads/CFT correspondence and symmetry breaking