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

T. Daniel Brennan; Gregory W. Moore

doi:10.1093/ptep/ptw159

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

T. Daniel Brennan
, Gregory W. Moore

Mathematics

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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.

Original language	English
Journal	Prog Theor Exp Phys
DOIs	https://doi.org/10.1093/ptep/ptw159
Publication status	Published - 3 Oct 2016

Bibliographical note

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

Keywords

hep-th

Access to Document

10.1093/ptep/ptw159

1610.00697v1

Cite this

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

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

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PY - 2016/10/3

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N2 - 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.

AB - 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.

KW - hep-th

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JF - Prog Theor Exp Phys

ER -

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

Abstract

Bibliographical note

Keywords

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Cite this