MS Seminar (Mathematics - String Theory)

Speaker: Shinji Hirano (Nagoya U.)
Title: Summing up All Genus Free Energy of ABJM Matrix Model
Date: Tue, Nov 29, 2011, 13:15 - 14:45
Place: Seminar Room A
Abstract: I will talk about my recent work with H. Fuji and S. Moriyama on the all genus free energy of the ABJM matrix model; We show that the all genus partition function of N = 6 U(N) x U(N) Chern-Simons-Matter theory, dual to type IIA string theory on AdS4 x CP3 or M-theory on AdS4 x S7/Zk, sums up simply to the Airy function apart from the worldsheet instanton corrections. Along the way I will also review my previous work with O. Bergman on the renormalization of the AdS radius in AdS4/CFT3. The main results will be summarized in the first 30 minutes and more details will be discussed in the second part.