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• W1841132562 abstract "Many methods exist for the construction of the Hilbert series describing the moduli spaces of instantons. We explore some of the underlying group theoretic relationships between these various constructions, including those based on the Coulomb branches and Higgs branches of SUSY quiver gauge theories, as well as those based on generating functions derivable from the Weyl Character Formula. We show how the character description of the reduced single instanton moduli space (“RSIMS”) of any Classical or Exceptional group can be deconstructed faithfully in terms of characters or modified Hall-Littlewood polynomials of its regular semi-simple subgroups. We derive and utilise Highest Weight Generating (“HWG”) functions, both for the characters of Classical or Exceptional groups and for the Hall-Littlewood polynomials of unitary groups. We illustrate how the root space data encoded in extended Dynkin diagrams corresponds to relationships between the Coulomb branches of quiver gauge theories for RSIMS and those for T (SU(N )) moduli spaces." @default.
• W1841132562 created "2016-06-24" @default.
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• W1841132562 date "2015-12-01" @default.
• W1841132562 modified "2023-10-01" @default.
• W1841132562 title "Construction and deconstruction of single instanton Hilbert series" @default.
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• W1841132562 doi "https://doi.org/10.1007/jhep12(2015)118" @default.
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