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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1007/s00354-007-0032-6

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1029-8479

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On Sduality of 5d super YangMills on Emphasis T

Authors: Yuji Tachikawa
Publish Date: 2011/11/24
Volume: 2011, Issue: 11, Pages: 123-
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Abstract

We study a duality of 5d maximally supersymmetric YangMills on S 1 which exchanges the tower of KaluzaKlein Wbosons and the tower of instantonic monopoles This duality maps a nonsimplylaced gauge theory to a simplylaced 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 Sduality is implemented in terms of 6d mathcalN = 2 0 theory This is straightforward except for the 6d theory of type SU2n + 1 with mathbbZ 2 outerautomorphism twist for which a few new properties are deduced For example this 6d theory when reduced on an S 1 with mathbbZ 2 twist gives 5d USp2n theory with nontrivial discrete 5d theta angle

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