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Title: On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [1]
  1. Rutgers Univ., Piscataway, NJ (United States). NHETC. Dept. of Physics and Astronomy
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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.

Research Organization:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0010008
OSTI ID:
1502391
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
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

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Cited By (5)

Coulomb branch quantization and abelianized monopole bubbling journal October 2019
’t Hooft defects and wall crossing in SQM journal October 2019
On Monopole Bubbling Contributions to 't Hooft Loops text January 2019
't Hooft Defects and Wall Crossing in SQM text January 2018
Quantum line defects and refined BPS spectra journal October 2019

Figures / Tables (16)

Figure 1(p. 19)figure Figure 1
Figure 2(p. 19)figure Figure 2
Figure 3(p. 23)figure Figure 3
Figure 4(p. 23)figure Figure 4
Figure 5(p. 24)figure Figure 5
Figure 6(p. 25)figure Figure 6
Figure 7(p. 25)figure Figure 7
Figure 8(p. 29)figure Figure 8
Figure 9(p. 32)figure Figure 9
Figure 10(p. 33)figure Figure 10
Figure 11(p. 33)figure Figure 11
Figure 12(p. 34)figure Figure 12
Figure 13(p. 36)figure Figure 13
Figure 14(p. 39)figure Figure 14
Table 1(p. 45)table Table 1
Table 2(p. 50)table Table 2

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Related Subjects

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