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- W2963399319 abstract "We derive a localization formula for the refined index of gauged quantum mechanics with four supercharges. Our answer takes the form of a residue integral on the complexified Cartan subalgebra of the gauge group. The formula captures the dependence of the index on Fayet-Iliopoulos parameters and the presence of a generic superpotential. The residue formula provides an efficient method for computing cohomology of quiver moduli spaces. Our result has broad applications to the counting of BPS states in four-dimensional N=2 systems. In that context, the wall-crossing phenomenon appears as discontinuities in the value of the residue integral as the integration contour is varied. We present several examples illustrating the various aspects of the index formula." @default.
- W2963399319 created "2019-07-30" @default.
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- W2963399319 date "2016-01-01" @default.
- W2963399319 modified "2023-09-25" @default.
- W2963399319 title "An Index Formula for Supersymmetric Quantum Mechanics" @default.
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- W2963399319 doi "https://doi.org/10.5427/jsing.2016.15b" @default.
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