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M5-branes from gauge theories on the 5-sphere

Title
M5-branes from gauge theories on the 5-sphere
Authors
KIM, HEE CHEOLKim, Seok
POSTECH Authors
KIM, HEE CHEOL
Date Issued
May-2013
Publisher
SPRINGER
Abstract
We use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2,0) superconformal theory on S^5 x S^1. The 5d theories can be regarded as Scherk-Schwarz reductions of the 6d theory along the circle. In a special limit, the perturbative partition function takes the form of the Chern-Simons partition function on S^3. With a simple non-perturbative completion, it becomes a 6d index which captures the degeneracy of a sector of BPS states as well as the index version of the vacuum Casimir energy. The Casimir energy exhibits the N^3 scaling at large N. The large N index for U(N) gauge group also completely agrees with the supergravity index on AdS_7 x S^4.
We use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2,0) superconformal theory on S^5 x S^1. The 5d theories can be regarded as Scherk-Schwarz reductions of the 6d theory along the circle. In a special limit, the perturbative partition function takes the form of the Chern-Simons partition function on S^3. With a simple non-perturbative completion, it becomes a 6d index which captures the degeneracy of a sector of BPS states as well as the index version of the vacuum Casimir energy. The Casimir energy exhibits the N^3 scaling at large N. The large N index for U(N) gauge group also completely agrees with the supergravity index on AdS_7 x S^4.
Keywords
SUPERCONFORMAL FIELD-THEORIES; STRING THEORY; INSTANTONS
URI
http://oasis.postech.ac.kr/handle/2014.oak/41148
DOI
10.1007/JHEP05(2013)144
ISSN
1029-8479
Article Type
Article
Citation
JOURNAL OF HIGH ENERGY PHYSICS, vol. 05, page. 144, 2013-05
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