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arxiv: 1510.08254 · v1 · pith:TSZXOHOYnew · submitted 2015-10-28 · ✦ hep-th

Index calculation by means of harmonic expansion

classification ✦ hep-th
keywords expansionharmoniccalculationindexindicesmeanssupersymmetricanalysing
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We review derivation of superconformal indices by means of supersymmetric localization and spherical harmonic expansion for 3d N=2, 4d N=1, and 6d N=(1,0) supersymmetric gauge theories. We demonstrate calculation of indices for vector multiplets in each dimensions by analysing energy eigenmodes in S^pxR. For the 6d index we consider the perturbative contribution only. We put focus on technical details of harmonic expansion rather than physical applications.

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