The 1/2 BPS't Hooft loops in N = 4 SYM as instantons in 2D Yang-Mills

Simone Giombi; Vasily Pestun

doi:10.1088/1751-8113/46/9/095402

The 1/2 BPS't Hooft loops in N = 4 SYM as instantons in 2D Yang-Mills

Simone Giombi, Vasily Pestun

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4D N=4SYM on S² and 2D Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S². We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S² are captured by instanton contributions to the partition function of the 2D Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.

Original language	English (US)
Article number	095402
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	9
DOIs	https://doi.org/10.1088/1751-8113/46/9/095402
State	Published - Mar 8 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/46/9/095402

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abstract = "We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4D N=4SYM on S2 and 2D Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S2 are captured by instanton contributions to the partition function of the 2D Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.",

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N2 - We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4D N=4SYM on S2 and 2D Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S2 are captured by instanton contributions to the partition function of the 2D Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.

AB - We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4D N=4SYM on S2 and 2D Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S2 are captured by instanton contributions to the partition function of the 2D Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.

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The 1/2 BPS't Hooft loops in N = 4 SYM as instantons in 2D Yang-Mills

Abstract

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