2012/06/30 by Benjamin Assel, John Estes, Masahito Yamazaki · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep09(2012)074
published as JHEP1209:074,2012 · 20 pages, 3 figures
arxiv created 2012/09/24 · arxiv updated 2012/09/28
We provide a non-trivial check of the AdS4/CFT3 correspondence recently proposed in arXiv:1106.4253 by verifying the GKPW relation in the large N limit. The CFT free energy is obtained from the previous works (arXiv:1105.2551, arXiv:1105.4390) on the S3 partition function for 3-dimensional N=4 SCFT T[SU(N)]. This is matched with the computation of the type IIB action on the corresponding gravity background. We unexpectedly find that the leading behavior of the free energy at large N is 1/2 N2 ln N. We also extend our results to richer theories and argue that 1/2 N2 ln N is the maximal free energy at large N in this class of gauge theories.