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Resurgence in the bi-Yang-Baxter model
Nuclear Physics B, Volume: 964, Start page: 115308
Swansea University Author:
Daniel Thompson
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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...
| Published in: | Nuclear Physics B |
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| ISSN: | 0550-3213 |
| Published: |
Elsevier BV
2021
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa57461 |
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| 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 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. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
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. |
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115308 |