On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics
Journal of High Energy Physics
September 2018, 2018:14 | Cite as
On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics
AuthorsAuthors and affiliations
T. Daniel BrennanAnindya DeyGregory W. Moore
Open Access
Regular Article - Theoretical Physics
First Online: 04 September 2018
Received: 12 June 2018
Accepted: 21 August 2018
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Abstract
We revisit the localization computation of the expectation values of ’t Hooft operators in \( \mathcal{N} \) = 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 \( \mathcal{N} \) = (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 [16]. In addition, we present a Type IIB construction — involving D1-D3-NS5-branes — for monopole bubbling in \( \mathcal{N} \) = 2* SU(N) SYM and demonstrate how the quiver quantum mechanics arises in this brane picture.
Keywords D-branes Solitons Monopoles and Instantons Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops
ArXiv ePrint: 1801.01986
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Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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