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Rigid 6D supersymmetry and localization
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DOI：10.1007/JHEP03(2013)137.png)
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Abstract
En 中文
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 Kahler 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.
Keywords:
Supersymmetry and Duality
Differential and Algebraic Geometry
Supersymmetric Effective Theories
Flux compactifications
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W