On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics
Abstract
We revisit the localization computation of the expectation values of ’t Hooft operators in N = 2* SU(N) theory on R^{3} × S^{1}. We show that the part of the answer arising from “monopole bubbling” on R^{3} can be understood as an equivariant integral over a KronheimerNakajima moduli space of instantons on an orbifold of C^{2}. It can also be described as a Witten index of a certain supersymmetric quiver quantum mechanics with N = (4, 4) supersymmetry. The map between the defect data and the quiver quantum mechanics is worked out for all values of N. For the SU(2) theory, we compute several examples of these line defect expectation values using the Witten index formula and confirm that the expressions agree with the formula derived by Okuda, Ito and Taki. In addition, we present a Type IIB construction — involving D1D3NS5branes — for monopole bubbling in N = 2* SU(N) SYM and demonstrate how the quiver quantum mechanics arises in this brane picture.
 Authors:

 Rutgers Univ., Piscataway, NJ (United States). NHETC. Dept. of Physics and Astronomy
 Publication Date:
 Research Org.:
 Rutgers Univ., Piscataway, NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1502391
 Grant/Contract Number:
 SC0010008
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 9; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Dbranes; solitons monopoles and instantons; supersymmetric gauge theory; Wilson, ’t Hooft and Polyakov loops
Citation Formats
Brennan, T. Daniel, Dey, Anindya, and Moore, Gregory W. On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics. United States: N. p., 2018.
Web. doi:10.1007/jhep09(2018)014.
Brennan, T. Daniel, Dey, Anindya, & Moore, Gregory W. On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics. United States. doi:10.1007/jhep09(2018)014.
Brennan, T. Daniel, Dey, Anindya, and Moore, Gregory W. Tue .
"On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics". United States. doi:10.1007/jhep09(2018)014. https://www.osti.gov/servlets/purl/1502391.
@article{osti_1502391,
title = {On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics},
author = {Brennan, T. Daniel and Dey, Anindya and Moore, Gregory W.},
abstractNote = {We revisit the localization computation of the expectation values of ’t Hooft operators in N = 2* SU(N) theory on R3 × S1. We show that the part of the answer arising from “monopole bubbling” on R3 can be understood as an equivariant integral over a KronheimerNakajima moduli space of instantons on an orbifold of C2. It can also be described as a Witten index of a certain supersymmetric quiver quantum mechanics with N = (4, 4) supersymmetry. The map between the defect data and the quiver quantum mechanics is worked out for all values of N. For the SU(2) theory, we compute several examples of these line defect expectation values using the Witten index formula and confirm that the expressions agree with the formula derived by Okuda, Ito and Taki. In addition, we present a Type IIB construction — involving D1D3NS5branes — for monopole bubbling in N = 2* SU(N) SYM and demonstrate how the quiver quantum mechanics arises in this brane picture.},
doi = {10.1007/jhep09(2018)014},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2018,
place = {United States},
year = {2018},
month = {9}
}
Web of Science
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Works referencing / citing this record:
Coulomb branch quantization and abelianized monopole bubbling
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