Wall crossing from Dirac zeromodes

Brennan, T. Daniel; Moore, Gregory W.; Royston, Andrew B.

doi:10.1007/jhep09(2018)038

Title: Wall crossing from Dirac zeromodes

Journal Article · Fri Sep 07 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2018)038· OSTI ID:1502398

Brennan, T. Daniel ^[1]; Moore, Gregory W. ^[1]; Royston, Andrew B. ^[2]

Rutgers Univ., Piscataway, NJ (United States). NHETC and Dept. of Physics and Astronomy
Texas A & M Univ., College Station, TX (United States). George P. & Cynthis Woods Mitchell Inst. for Fundamental Physics and Astronomy; Pennsylvania State Univ. Fayette, Lemont Furnace, PA (United States)

We explore the physics of two-body decay of BPS states using semiclassical analysis to construct explicit solutions that illustrate the main features of wall crossing, for both ordinary and framed BPS states. In particular we recover the primitive wallcrossing formula from an asymptotic analysis of certain Dirac-type operators on monopole moduli spaces. Along the way we give an asymptotic metric for the moduli space of singular monopoles, analogous to the Gibbons-Manton and Lee-Weinberg-Yi metrics for the moduli space of smooth monopoles, and we find evidence for the existence of stable non-BPS boundstates. Our discussion applies to four-dimensional N=2 super-Yang-Mills theories with general gauge group and general ’t Hooft defects.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010008

OSTI ID:: 1502398

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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’t Hooft defects and wall crossing in SQM Brennan, T. Daniel; Dey, Anindya; Moore, Gregory W. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)173	journal	October 2019
't Hooft Defects and Wall Crossing in SQM Brennan, T. Daniel; Dey, Anindya; Moore, Gregory W. arXiv https://doi.org/10.48550/arxiv.1810.07191	text	January 2018
Monopole bubbling via string theory Brennan, T. Daniel Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/jhep11(2018)126	journal	November 2018

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