Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2020)093
Keywords
AdS-CFT Correspondence; Extended Supersymmetry; M-Theory
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Funding
- Sasakawa Scientific Research Grant from The Japan Science Society
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We investigate finite-N corrections to the superconformal indices of the theories realized on M2- and M5-branes. For three-dimensional theories realized on a stack of N M2-branes we calculate the finite-N corrections as the contribution of extended M5-branes in the dual geometry AdS(4)xS(7). We take only M5-brane configurations with a single wrapping into account, and neglect multiple-wrapping configurations. We compare the results with the indices calculated from the ABJM theory, and find agreement up to expected errors due to the multiple wrapping. For six-dimensional theories on N M5-branes we calculate the indices by analyzing extended M2-branes in AdS(7)xS(4). Again, we include only configurations with single wrapping. We first compare the result for N = 1 with the index of the free tensor multiplet to estimate the order of the error due to multiple wrapping. We calculate first few terms of the index of A(N)-1 theories explicitly, and confirm that they can be expanded by superconformal representations. We also discuss multiple-wrapping contributions to the six-dimensional Schur-like index.
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