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M5-branes from gauge theories on the 5-sphere

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Abstract

We use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2, 0) superconformal theory on S 5 × 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 × S 4.

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Authors and Affiliations

  1. School of Physics, Korea Institute for Advanced Study, Seoul, 130-012, Korea

    Hee-Cheol Kim

  2. Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, Seoul, 151-747, Korea

    Seok Kim

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  1. Hee-Cheol Kim
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ArXiv ePrint: 1206.6339

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Kim, HC., Kim, S. M5-branes from gauge theories on the 5-sphere. J. High Energ. Phys. 2013, 144 (2013). https://doi.org/10.1007/JHEP05(2013)144

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