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arXiv · 1610.00697

A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories

T. Daniel Brennan·Gregory W. Moore
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Abstract

Vector spaces of (framed) BPS states of Lagrangian four-dimensional N=2 field theories can be defined in semiclassical chambers in terms of the $L^2$-cohomology of Dirac-like operators on monopole moduli spaces. This was spelled out previously for theories with only vectormultiplets, taking into account only a subset of the possible half-supersymmetric 't Hooft-Wilson line defects. This note completes the discussion by describing the modifications needed when including matter hypermultiplets together with arbitrary 't Hooft-Wilson line defects. Two applications of this extended discussion are given.

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T. Daniel Brennan, Gregory W. Moore. 2016-10-03. A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories. https://doi.org/10.1093/ptep/ptw159

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