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dc.contributor.authorFROLOV, SERGEY
dc.date.accessioned2011-01-17T18:12:54Z
dc.date.available2011-01-17T18:12:54Z
dc.date.issued2002
dc.date.submitted2002en
dc.identifier.citationS. 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, 84-108en
dc.identifier.otherY
dc.identifier.urihttp://hdl.handle.net/2262/49327
dc.descriptionPUBLISHEDen
dc.description.abstractWe 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).en
dc.description.sponsorshipSome of the calculations with the AdS5 ? T1,1 background presented here have been independently carried out by C. P. Herzog. We are grateful to him for useful discussions. We are also grateful to Yu.N. Obukhov for help with GRG computer algebra program used in our calculations. We acknowledge M. Green, I. Jack, K. Skenderis and especially K. Peeters, P. Vanhove and A. Westerberg for very useful comments on the original version of the paper that helped us to clarify and correct the presentation. The work of S. F. and A. A. T. was supported by the DOE grant DE-FG02-91ER40690. The work of I. R. K. was supported in part by the NSF grant PHY-9802484. The work of A. A. T. was also supported in part by the PPARC SPG 00613, INTAS 99-1590 and CRDF RPI-2108 grants.en
dc.format.extent84-108en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesNuclear Physics B;
dc.relation.ispartofseries620;
dc.rightsYen
dc.subjectMathematicsen
dc.subjectgauge theoryen
dc.subjectstring theoryen
dc.titleString corrections to the holographic RG flow of supersymmetric SU(N) x SU(N+M) gauge theoryen
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/frolovs
dc.identifier.rssinternalid70403
dc.identifier.rssurihttp://dx.doi.org/10.1016/S0550-3213(01)00554-5en


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