Probing non-perturbative effects in M-theory

2014/07/14 by Yasuyuki Hatsuda, Kazumi Okuyama · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep10(2014)158

34 pages

arxiv created 2014/07/14 · arxiv updated 2015/06/22

Abstract

The AdS/CFT correspondence enables us to probe M-theory on various backgrounds from the corresponding dual gauge theories. Here we investigate in detail a three-dimensional U(N) N=4 super Yang-Mills theory coupled to one adjoint hypermultiplet and Nf fundamental hypermultiplets, which is large N dual to M-theory on AdS₄xS⁷/Z_Nf. Using the localization and the Fermi-gas formulation, we explore non-perturbative corrections to the partition function. As in the ABJM theory, we find that there exists a non-trivial pole cancellation mechanism, which guarantees the theory to be well-defined, between worldsheet instantons and membrane instantons for all rational (in particular, physical or integral) values of Nf.

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