ODE/IM correspondence for modified B2(1) affine Toda field equation

ODE/IM correspondence for modified B2(1) affine Toda field equation

We study the massive ODE/IM correspondence for modified B2(1) affine Toda field equation. Based on the ψ-system for the solutions of the associated linear problem, we obtain the Bethe ansatz equations. We also discuss the T–Q relations, the T-system and the Y-system, which are shown to be related to...

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Main Authors: Katsushi Ito, Hongfei Shu
Format: Article
Language:English
Published: Elsevier 2017-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317300123
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spelling doaj-57dfddf544fe43e59c2c4ab0ff12b3402020-11-24T23:37:33ZengElsevierNuclear Physics B0550-32131873-15622017-03-01916C41442910.1016/j.nuclphysb.2017.01.009ODE/IM correspondence for modified B2(1) affine Toda field equationKatsushi ItoHongfei ShuWe study the massive ODE/IM correspondence for modified B2(1) affine Toda field equation. Based on the ψ-system for the solutions of the associated linear problem, we obtain the Bethe ansatz equations. We also discuss the T–Q relations, the T-system and the Y-system, which are shown to be related to those of the A3/Z2 integrable system. We consider the case that the solution of the linear problem has a monodromy around the origin, which imposes nontrivial boundary conditions for the T-/Y-system. The high-temperature limit of the T- and Y-system and their monodromy dependence are studied numerically.http://www.sciencedirect.com/science/article/pii/S0550321317300123
collection DOAJ
language English
format Article
sources DOAJ
author Katsushi Ito
Hongfei Shu
spellingShingle Katsushi Ito
Hongfei Shu
ODE/IM correspondence for modified B2(1) affine Toda field equation
Nuclear Physics B
author_facet Katsushi Ito
Hongfei Shu
author_sort Katsushi Ito
title ODE/IM correspondence for modified B2(1) affine Toda field equation
title_short ODE/IM correspondence for modified B2(1) affine Toda field equation
title_full ODE/IM correspondence for modified B2(1) affine Toda field equation
title_fullStr ODE/IM correspondence for modified B2(1) affine Toda field equation
title_full_unstemmed ODE/IM correspondence for modified B2(1) affine Toda field equation
title_sort ode/im correspondence for modified b2(1) affine toda field equation
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-03-01
description We study the massive ODE/IM correspondence for modified B2(1) affine Toda field equation. Based on the ψ-system for the solutions of the associated linear problem, we obtain the Bethe ansatz equations. We also discuss the T–Q relations, the T-system and the Y-system, which are shown to be related to those of the A3/Z2 integrable system. We consider the case that the solution of the linear problem has a monodromy around the origin, which imposes nontrivial boundary conditions for the T-/Y-system. The high-temperature limit of the T- and Y-system and their monodromy dependence are studied numerically.
url http://www.sciencedirect.com/science/article/pii/S0550321317300123
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AT hongfeishu odeimcorrespondenceformodifiedb21affinetodafieldequation
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