No Cover Image

Journal article 21 views 4 downloads

Resurgence in the bi-Yang-Baxter model / Lucas Schepers, Daniel Thompson

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

Swansea University Author: Daniel Thompson

  • 57461.VOR.pdf

    PDF | Version of Record

    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.

    Download (3.77MB)

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...

Full description

Published in: Nuclear Physics B
ISSN: 0550-3213
Published: Elsevier BV 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa57461
Tags: Add Tag
No Tags, Be the first to tag this record!
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.
College: College of Science
Start Page: 115308