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Exact results in supersymmetric field theories on manifolds with boundaries

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Abstract

We construct supersymmetric gauge theories on some curved manifolds with boundaries. Our examples include a part of three-sphere and a part of two-sphere. We concentrate on Dirichlet boundary conditions. For these theories on the manifolds with the boundaries, we compute the partition functions and the Wilson loops exactly using the localization technique.

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Authors and Affiliations

  1. Department of Physics, Kyoto University, Kyoto, 606-8502, Japan

    Sotaro Sugishita

  2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan

    Seiji Terashima

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  1. Sotaro Sugishita
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  2. Seiji Terashima
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Correspondence to Sotaro Sugishita.

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ArXiv ePrint: 1308.1973

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Sugishita, S., Terashima, S. Exact results in supersymmetric field theories on manifolds with boundaries. J. High Energ. Phys. 2013, 21 (2013). https://doi.org/10.1007/JHEP11(2013)021

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