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- W2898869234 abstract "In this paper we briefly review the main idea of the localization technique and its extension suitable in supersymmetric gauge field theory. We analyze the partition function of the vector multiplets with supercharges and its blocks on the even- and odd-dimensional spheres and squashed spheres. We exploit so-called Fa`a di Bruno's formula and show that multipartite partition functions can be written in the form of expansion series of the Bell polynomials. Applying the restricted specialization argument we show that $q$-infinite-product representation of partition functions admits presentation in terms of the Patterson-Selberg (or the Ruelle-type) spectral functions." @default.
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- W2898869234 date "2018-10-30" @default.
- W2898869234 modified "2023-09-24" @default.
- W2898869234 title "Partition functions for supersymmetric gauge theories on spheres" @default.
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- W2898869234 doi "https://doi.org/10.1142/s0217751x18501798" @default.
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