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Para-Liouville/Toda central charges from M5-branes

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arxiv 1106.1172 v1 pith:GSGNNDEU submitted 2011-06-06 hep-th

classification hep-th
keywords symmetrytheorycentralm5-branesanomalycalculatingchargecharges
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We propose that N M5-branes, put on R^4/Z_m with deformation parameters epsilon_{1,2}, realize two-dimensional theory with SU(m)_N symmetry and m-th para-W_N symmetry. This includes the standard W_N symmetry for m=1 and super-Viraroro symmetry for m=N=2. We provide a small check of this proposal by calculating the central charge of the 2d theory from the anomaly polynomial of the 6d theory.

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  1. Kac-Moody algebras from M5-giants

    hep-th 2025-08 conditional novelty 6.0 of 10

    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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