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

High Energy Physics - Theory 2019-12-06 v1

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 L2L^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.

Keywords

Cite

@article{arxiv.1610.00697,
  title  = {A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories},
  author = {T. Daniel Brennan and Gregory W. Moore},
  journal= {arXiv preprint arXiv:1610.00697},
  year   = {2019}
}

Comments

21 pages, 1 figure. Submitted to the PTEP Special Section "Nambu, A Foreteller of Modern Physics III" (Chicago Symposium)