## String corrections to the holographic RG flow of supersymmetric SU(N) x SU(N+M) gauge theory

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**Citation: **

*S. Frolov, I. R. Klebanov and A. A. Tseytlin, String corrections to the holographic RG flow of supersymmetric SU(N) x SU(N+M) gauge theory, Nuclear Physics B, 620, 2002, 84-108*

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**Abstract: **

We study leading string corrections to the type IIB supergravity solution dual to the
N = 1 supersymmetric SU(N + M) ? SU(N) gauge theory coupled to bifundamental
chiral superfields Ai,Bj, i, j = 1, 2. This solution was found in hep-th/0007191, and its
asymptotic form describing logarithmic RG flow was constructed in hep-th/0002159. The
leading tree-level string correction to the type IIB string effective action is represented
by the invariant of the form ??3(R4 + ...). Since the background contains 3-form field
strengths, we need to know parts of this invariant that depend on them. By analyzing the
5-point superstring scattering amplitudes we show that only a few specific R3(H3)2 and
R3(F3)2 terms are present in the effective action. Their contribution to the holographic
RG flow turns out to be of the same order as of the R4 terms. Using this fact we show
that it is possible to have agreement between the ??-corrected radial dependence of the
supergravity fields and the RG flow dictated by the NSVZ beta functions in field theory.
The agreement with field theory requires that the anomalous dimension of the operators
Tr(AiBj) is corrected by a term of order (M/N)4??1/2 from its value ?1
2 found for M = 0
(? is the appropriate ?t Hooft coupling which is assumed to be strong).

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**Author's Homepage: **

http://people.tcd.ie/frolovs
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**Description: **

PUBLISHED
**Author:**FROLOV, SERGEY

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**Publisher: **

Elsevier
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**Type of material: **

Journal Article#####
**Series/Report no: **

Nuclear Physics B;620;

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**Availability: **

Full text available#####
**Keywords: **

Mathematics, gauge theory, string theory
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