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Resurgence in the bi-Yang-Baxter model

Lucas Schepers, Daniel Thompson Orcid Logo

Nuclear Physics B, Volume: 964, Start page: 115308

Swansea University Author: Daniel Thompson Orcid Logo

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DOI (Published version): 10.1016/j.nuclphysb.2021.115308

Abstract

We study the integrable bi-Yang-Baxter deformation of the SU(2) principal chiral model (PCM) and its finite action uniton solutions. Under an adiabatic compactification on an S1 , we obtain a quantum mechanics with an elliptic Lamé-like potential.We perform a perturbative calculation of the ground s...

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Published in: Nuclear Physics B
ISSN: 0550-3213
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa57461
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spelling 2022-10-25T14:04:25.6599333 v2 57461 2021-07-27 Resurgence in the bi-Yang-Baxter model 9c8715ee44a574eda1194c9808d99c62 0000-0001-8319-8275 Daniel Thompson Daniel Thompson true false 2021-07-27 SPH We study the integrable bi-Yang-Baxter deformation of the SU(2) principal chiral model (PCM) and its finite action uniton solutions. Under an adiabatic compactification on an S1 , we obtain a quantum mechanics with an elliptic Lamé-like potential.We perform a perturbative calculation of the ground state energy in this quantum mechanics to large orders obtaining an asymptotic series. Using the Borel-Padé technique, we determine the expected locations of branch cuts in the Borel plane of the perturbative series and show that they match the values of the uniton actions. Therefore, we can match the non-perturbative contributions to the energy with the uniton solutions which fractionate upon adiabatic compactification.An off-shoot of the WKB analysis, is to identify the quadratic differential of this deformed PCM with that of an N=2 Seiberg-Witten theory. This can be done either as an Nf=4 SU(2) theory or as an elliptic quiver SU(2) x SU(2) theory. The mass parameters of the gauge theory are given by the deformation parameters of the PCM. Journal Article Nuclear Physics B 964 115308 Elsevier BV 0550-3213 1 3 2021 2021-03-01 10.1016/j.nuclphysb.2021.115308 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Other We would like to thank S. Prem Kumar, Jan Troost, Daniele Dorigoni, Ben Hoare, Philip Glass and Saskia Demulder for useful conversations on this and related topics. DCT is supported by The Royal Society through a University Research Fellowship Generalised Dualities in String Theory and Holography URF 150185 and in part by STFC grant ST/P00055X/1 and in part by the “FWO-Vlaanderen” through the project G006119N and by the Vrije Universiteit Brussel through the Strategic Research Program “High-Energy Physics”. LS is supported by The Royal Society through grant RGF\R1\180087 Generalised Dualities, Resurgence and Integrability. 2022-10-25T14:04:25.6599333 2021-07-27T17:37:37.5642888 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Lucas Schepers 1 Daniel Thompson 0000-0001-8319-8275 2 57461__20467__6d1227df3ba1482f880b50ed6d790c2c.pdf 57461.VOR.pdf 2021-07-27T17:47:03.3303028 Output 3951101 application/pdf Version of Record true Copyright: The Authors. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. true eng http://creativecommons.org/licenses/by/4.0/
title Resurgence in the bi-Yang-Baxter model
spellingShingle Resurgence in the bi-Yang-Baxter model
Daniel Thompson
title_short Resurgence in the bi-Yang-Baxter model
title_full Resurgence in the bi-Yang-Baxter model
title_fullStr Resurgence in the bi-Yang-Baxter model
title_full_unstemmed Resurgence in the bi-Yang-Baxter model
title_sort Resurgence in the bi-Yang-Baxter model
author_id_str_mv 9c8715ee44a574eda1194c9808d99c62
author_id_fullname_str_mv 9c8715ee44a574eda1194c9808d99c62_***_Daniel Thompson
author Daniel Thompson
author2 Lucas Schepers
Daniel Thompson
format Journal article
container_title Nuclear Physics B
container_volume 964
container_start_page 115308
publishDate 2021
institution Swansea University
issn 0550-3213
doi_str_mv 10.1016/j.nuclphysb.2021.115308
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description We study the integrable bi-Yang-Baxter deformation of the SU(2) principal chiral model (PCM) and its finite action uniton solutions. Under an adiabatic compactification on an S1 , we obtain a quantum mechanics with an elliptic Lamé-like potential.We perform a perturbative calculation of the ground state energy in this quantum mechanics to large orders obtaining an asymptotic series. Using the Borel-Padé technique, we determine the expected locations of branch cuts in the Borel plane of the perturbative series and show that they match the values of the uniton actions. Therefore, we can match the non-perturbative contributions to the energy with the uniton solutions which fractionate upon adiabatic compactification.An off-shoot of the WKB analysis, is to identify the quadratic differential of this deformed PCM with that of an N=2 Seiberg-Witten theory. This can be done either as an Nf=4 SU(2) theory or as an elliptic quiver SU(2) x SU(2) theory. The mass parameters of the gauge theory are given by the deformation parameters of the PCM.
published_date 2021-03-01T04:13:13Z
_version_ 1763753898449829888
score 11.016235

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