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2013

3d TQFT from 6d SCFT

Yagi, Junya

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We study the six-dimensional (2,0) superconformal field theory on S^1 x S^2 x M via compactification to five dimensions, where M is a three-manifold.

Twisted along M, the five-dimensional theory has a half of N = (2,2) supersymmetry on S^2, the other half being broken by a superpotential.
We show that in the limit where M is infinitely large, the twisted theory reduces to a three-dimensional topological quantum field theory which is closely related to Chern-Simons theory for the complexified gauge group.

3d TQFT from 6d SCFT · Around

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L. F. Alday, D. Gaiotto and Y. Tachikawa, Liouville correlation functions from four-dimensional gauge theories
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2010
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A. Mironov and A. Morozov, On AGT relation in the case of U ⁡ ( 3 ) \mathrm{U}(3)
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2010
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A. Gadde, E. Pomoni, L. Rastelli and S. S. Razamat, S-duality and 2d topological QFT
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2010
Earlier work this paper cites.
M. Taki, On AGT conjecture for pure super Yang-Mills and W-algebra
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2011
Earlier work this paper cites.

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