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(2,0) theory on Taub-NUT: A note on WZW models on singular fibrations

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arxiv 1205.0694 v1 pith:GLUIZCRD submitted 2012-05-03 hep-th

classification hep-th
keywords considerfibrationsfieldsingularactiondimensionalfibrationgauge
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In this note we consider the gauge field equation of motion for the dimensional reduction of the (2,0) tensor multiplet on singular circle fibrations. The fibrations are characterized by the corresponding U(1) action having a codimension four fixed point locus W. Along W, the dimensional reduction of the (2,0) receives a modification described by a WZW model. We consider the emergence of the additional degrees of freedom through the topological term in the action, which in addition to the gauge field strength involves the U(1) connection of the space-time fibration. We also consider the Taub-NUT space as a simple example of a singular fibration, and in particular consider spherically symmetric solutions for the field strength.

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    The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.

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