TY - JOUR

T1 - RG fixed points in supergravity duals of 4-d field theory and asymptotically AdS spaces

AU - Porrati, M.

AU - Starinets, A.

N1 - Funding Information:
M.P. is supported in part by NSF grant no. PHY-9722083.

PY - 1999

Y1 - 1999

N2 - Recently, it has been conjectured that supergravity solutions with two asymptotically AdS5 regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS5. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.

AB - Recently, it has been conjectured that supergravity solutions with two asymptotically AdS5 regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS5. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.

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U2 - 10.1016/S0370-2693(99)00394-9

DO - 10.1016/S0370-2693(99)00394-9

M3 - Article

AN - SCOPUS:0002628704

SN - 0370-2693

VL - 454

SP - 77

EP - 83

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -