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Rigid 6D supersymmetry and localization

H. Samtleben 1 E. Sezgin D. Tsimpis 2
2 Théorie
IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
Abstract : We construct rigid supersymmetric theories for interacting vector and tensor multiplets on six-dimensional Riemannian spin manifolds. Analyzing the Killing spinor equations, we derive the constraints on these theories. To this end, we reformulate the conditions for supersymmetry as a set of necessary and sufficient conditions on the geometry. The formalism is illustrated with a number of examples, including manifolds that are hermitian, strong Kaehler with torsion. As an application, we show that the path integral of pure super Yang-Mills theory defined on a Calabi-Yau threefold M_6 localizes on stable holomorphic bundles over M_6.
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Submitted on : Thursday, December 20, 2012 - 9:38:16 AM
Last modification on : Thursday, February 6, 2020 - 4:28:10 PM

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H. Samtleben, E. Sezgin, D. Tsimpis. Rigid 6D supersymmetry and localization. Journal of High Energy Physics, Springer, 2013, 1303, pp.137. ⟨10.1007/JHEP03(2013)137⟩. ⟨in2p3-00767571⟩

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