Probing non-perturbative effects in M-theory
arXiv:1407.3786 · doi:10.1007/JHEP10(2014)158
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 AdS_4xS^7/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.
34 pages
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Cited by in corpus (7)
- M-theoretic matrix models
- Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
- Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
- Exact results in N=8 Chern-Simons-matter theories and quantum geometry
- ABJM Membrane Instanton from Pole Cancellation Mechanism
- A Note on Instanton Effects in ABJM Theory
- Exact solutions to quantum spectral curves by topological string theory