Theoretical High Energy Seminar – Niels Bohr Institute - University of Copenhagen

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Theoretical High Energy Seminar

Speaker: Shinji Hirano (Nagoya U.)

Title: Summing up all genus free energy of ABJM matrix model

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 which is important in interpreting our result.