Index calculation by means of harmonic expansion
Index calculation by means of harmonic expansion
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DOI：
10.1093/ptep/ptv167
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发表时间：
2015-10
影响因子：
3.5
通讯作者：
Y. Imamura
中科院分区：
文献类型：
--
作者：
Y. Imamura
本文回顾了3DN=2，4dN=1，6dN=(1，0)超对称规范理论的超对称局域化和球谐展开的超共形指数的推导。通过对S PXR中能量本征模的分析，给出了各维向量多重态指数的计算方法。对于6d指数，我们只考虑微扰贡献。我们把重点放在谐波展开的技术细节上，而不是物理应用上。
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.