Index-like theorems from line defect vevs

Brennan, T. Daniel; Moore, Gregory W.

doi:10.1007/jhep09(2019)073

Title: Index-like theorems from line defect vevs

Journal Article · Tue Sep 10 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2019)073· OSTI ID:1611320

^[1]; Moore, Gregory W. ^[1]

Rutgers Univ., Piscataway, NJ (United States)

In this paper we investigate the relation between complexified Fenchel-Nielsen coordinates and spectral network coordinates on Seiberg-Witten moduli space. The main technique is the comparison of exact expressions for the expectation value of ’t Hooft defects in certain 4D SU(2) N = 2 gauge theories. We derive an index-like theorem for a class of Dirac operators on singular monopole moduli spaces. Our expression determines the indices of Dirac operators on singular monopole moduli spaces in terms of characteristic numbers for vector bundles over certain Kronheimer-Nakajima quiver varieties.

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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:: 1611320

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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Cited By (2)

’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

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Title: Index-like theorems from line defect vevs

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