skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 Kronheimer-Nakajima 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 D1-D3-NS5-branes — for monopole bubbling in N = 2* SU(N) SYM and demonstrate how the quiver quantum mechanics arises in this brane picture.

Authors:
 [1];  [1];  [1]
  1. 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) (SC-25)
OSTI Identifier:
1502391
Grant/Contract Number:  
SC0010008
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 9; Journal ID: ISSN 1029-8479
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; D-branes; 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 Kronheimer-Nakajima 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 D1-D3-NS5-branes — 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)},
issn = {1029-8479},
number = 9,
volume = 2018,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: The Kronheimer-Nakajima quiver for a regular U(N) instantons on C2/Z$n$. Each node denotes the unitary group with the labelled rank. The circular nodes denote gauge groups and the square nodes denote the avour symmetries.

Save / Share: