On S-duality of 5d super Yang-Mills on
Oct, 201127 pages
Published in:
- JHEP 11 (2011) 123
e-Print:
- 1110.0531 [hep-th]
Report number:
- IPMU-11-0166
View in:
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Abstract: (arXiv)
We study a duality of 5d maximally supersymmetric Yang-Mills on S^1, 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 S^1, 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 Z_2 outer-automorphism twist, for which a few new properties are deduced. For example, this 6d theory, when reduced on an S^1 with Z_2 twist, gives 5d USp(2n) theory with nontrivial discrete 5d theta angle.Note:
- 30 pages, 7 figures; v2: more references. Published version
- gauge field theory: Yang-Mills: supersymmetry
- gauge boson: Kaluza-Klein
- algebra: Lie
- duality
- twist
- S-duality
- affine
- monopole: BPS
- D-brane
- self-duality
References(56)
Figures(2)