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Resurgent analysis of localizable observables in supersymmetric gauge theories

Resurgent analysis of localizable observables in supersymmetric gauge theories
Resurgent analysis of localizable observables in supersymmetric gauge theories
Localization methods have recently led to a plethora of new exact results in supersymmetric gauge theories, as certain observables may be computed in terms of matrix integrals. These can then be evaluated by making use of standard large N techniques, or else via perturbative expansions in the gauge coupling. Either approximation often leads to observables given in terms of asymptotic series, which need to be properly defined in order to obtain nonperturbative results. At the same time, resurgent analysis has recently been successfully applied to several problems, e.g., in quantum, field and string theories, precisely to overcome this issue and construct nonperturbative answers out of asymptotic perturbative expansions. The present work uses exact results from supersymmetric localization to address the resurgent structure of the free energy and partition function of Chern-Simons and ABJM gauge theories in three dimensions, and of N=2 supersymmetric Yang-Mills theories in four dimensions. For each case, the complete structure of Borel singularities is exactly determined, and the relation of these singularities with the large-order behavior of (multi-instanton) perturbative expansions is made fully precise.
hep-th
1029-8479
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Russo, Jorge G.
bef00d73-1998-4039-b011-092a2b0431e3
Schiappa, Ricardo
7b7a5b7d-7ecc-454e-ba14-51c2adc24c5f
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Russo, Jorge G.
bef00d73-1998-4039-b011-092a2b0431e3
Schiappa, Ricardo
7b7a5b7d-7ecc-454e-ba14-51c2adc24c5f

Aniceto, Inês, Russo, Jorge G. and Schiappa, Ricardo (2015) Resurgent analysis of localizable observables in supersymmetric gauge theories. The Journal of High Energy Physics, 172. (doi:10.1007/JHEP03(2015)172).

Record type: Article

Abstract

Localization methods have recently led to a plethora of new exact results in supersymmetric gauge theories, as certain observables may be computed in terms of matrix integrals. These can then be evaluated by making use of standard large N techniques, or else via perturbative expansions in the gauge coupling. Either approximation often leads to observables given in terms of asymptotic series, which need to be properly defined in order to obtain nonperturbative results. At the same time, resurgent analysis has recently been successfully applied to several problems, e.g., in quantum, field and string theories, precisely to overcome this issue and construct nonperturbative answers out of asymptotic perturbative expansions. The present work uses exact results from supersymmetric localization to address the resurgent structure of the free energy and partition function of Chern-Simons and ABJM gauge theories in three dimensions, and of N=2 supersymmetric Yang-Mills theories in four dimensions. For each case, the complete structure of Borel singularities is exactly determined, and the relation of these singularities with the large-order behavior of (multi-instanton) perturbative expansions is made fully precise.

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More information

e-pub ahead of print date: 31 March 2015
Published date: March 2015
Additional Information: 53 pages, 8 figures; v2: added refs, small changes, improved discussion on resurgence triangle, final version for JHEP
Keywords: hep-th

Identifiers

Local EPrints ID: 424135
URI: https://eprints.soton.ac.uk/id/eprint/424135
ISSN: 1029-8479
PURE UUID: fec5ccee-f0ae-4835-b5ac-a0b1cfe802cc

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Date deposited: 05 Oct 2018 11:30
Last modified: 13 Mar 2019 17:59

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