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- W4287992012 abstract "We study the twisted index of 3d $mathcal{N}=2$ supersymmetric gauge theories on $S^1 times Sigma$ in the presence of a real FI parameter deformation. This parameter induces a 1d FI parameter for the effective supersymmetric quantum mechanics on $S^1$. Using supersymmetric localisation, the twisted index can be expressed as a contour integral. We show that the contour prescription is modified in the presence of the 1d FI parameter, leading to wall-crossing phenomena for the twisted index. In particular, we derive a general wall-crossing formula for abelian gauge theories. We also examine the origin of wall-crossing as change of stability condition in the algebro-geometric interpretation of the twisted index. These ideas are illustrated for abelian theories with $mathcal{N}=4$ supersymmetry and in a non-abelian example that reproduces wall-crossing phenomena associated to moduli spaces of stable pairs." @default.
- W4287992012 created "2022-07-26" @default.
- W4287992012 creator A5000321382 @default.
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- W4287992012 date "2019-12-19" @default.
- W4287992012 modified "2023-09-29" @default.
- W4287992012 title "The 3d Twisted Index and Wall-Crossing" @default.
- W4287992012 doi "https://doi.org/10.48550/arxiv.1912.09591" @default.
- W4287992012 hasPublicationYear "2019" @default.
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