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• W3100615087 abstract "In this note, we calculate the S 3 free energy F of 3-d $ mathcal{N} $ ≥ 4 supersymmetric gauge theories with U(N), O(N), and USp(2N) gauge groups and matter hypermultiplets in the fundamental and two-index tensor representations. Supersymmetric localization reduces the computation of F to a matrix model that we solve in the large N limit using two different methods. The first method is a saddle point approximation first introduced in [1], which we extend to next-to-leading order in 1/N. The second method generalizes the Fermi gas approach of [2] to theories with symplectic and orthogonal gauge groups, and yields an expression for F valid to all orders in 1/N . In developing the second method, we use a non-trivial generalization of the Cauchy determinant formula." @default.
• W3100615087 created "2020-11-23" @default.
• W3100615087 creator A5038062026 @default.
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• W3100615087 date "2014-02-01" @default.
• W3100615087 modified "2023-10-02" @default.
• W3100615087 title "Three-sphere free energy for classical gauge groups" @default.
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• W3100615087 doi "https://doi.org/10.1007/jhep02(2014)037" @default.
• W3100615087 hasPublicationYear "2014" @default.
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