12:00 pm Wednesday, February 12, 2014
Geometry & String Theory: On S-duality of 5d super Yang-Mills on S^1 by Andy Trimm (UT Physics) in RLM 8.136
We study a duality of 5d maximally supersymmetric Yang-Mills on S1, which exchanges the tower of Kaluza-Klein W-bosons and the tower of instantonic monopoles. This duality maps a non-simply-laced gauge theory to a simply-laced gauge theory twisted by an outer automorphism around S1, and is closely related to the Langlands dual of affine Lie algebras. We also discuss how this S-duality is implemented in terms of 6d N = (2, 0) theory. This is straightforward except for the 6d theory of type SU(2n + 1) with Z2 outer-automorphism twist, for which a few new properties are deduced. For example, this 6d theory, when reduced on an S1 with Z2 twist, gives 5d USp(2n) theory with nontrivial discrete 5d theta angle. Submitted by
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