Comment on Field Redefinitions in the AdS/CFT Correspondence

Details Comment on Field Redefinitions in the AdS/CFT Correspondence Comment on Field Redefinitions in the AdS/CFT Correspondence

2002-04-30

arxiv.org/abs/hep-th/0204257v2

Prog.Theor.Phys. 108 (2002) 375-382

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, typos corrected, references added

Scientific paper

10.1143/PTP.108.375

We carry out field redefinitions in ten-dimensional Type IIB supergravity and show that they do not give rise to any physical corrections to the holographic renormalization group structure in the AdS/CFT correspondence. We in particular show that the holographic Weyl anomaly of the N=4 SU(N) super Yang-Mills theory does not change under the field redefinition of the ten-dimensional metric of the form G_{MN} -> G_{MN}+\alpha R G_{MN}+\beta R_{MN}. These results are consistent with the fact that classical supergravity represents the on-shell structure of massless modes of superstrings, which should not change under redefinitions of fields.

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