Results 21 to 30 of about 2,117 (310)

Momentum conserving defects in affine Toda field theories

Journal of High Energy Physics, 2017
Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
doaj   +1 more source

CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS [PDF]

International Journal of Modern Physics A, 2004
Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar fields in each domain and it is found that these may be free, of Liouville type, or of sinh-Gordon type.
Edward Corrigan, C. Zambon, Peter Bowcock   +2 more
openaire   +3 more sources

Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations

Journal of High Energy Physics, 2018
The integrability of the N=1 $$ \mathcal{N}=1 $$ supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation
A.R. Aguirre, A.L. Retore, J.F. Gomes, N.I. Spano, A.H. Zimerman   +4 more
doaj   +1 more source

Resurgence and 1/N Expansion in Integrable Field Theories

Journal of High Energy Physics, 2021
In theories with renormalons the perturbative series is factorially divergent even after restricting to a given order in 1/N, making the 1/N expansion a natural testing ground for the theory of resurgence.
Lorenzo Di Pietro, Marcos Mariño, Giacomo Sberveglieri, Marco Serone   +3 more
doaj   +1 more source

Supersymmetric, integrable boundary field theories [PDF]

Nuclear Physics B - Proceedings Supplements, 1996
11 pages, latex with espcrc2.tex/espcrc2.sty Contribution to the proceedings of the ICTP workshop on Recent Developments in Statistical Mechanics and Quantum Field ...
openaire   +4 more sources

A generalized 4d Chern-Simons theory

Journal of High Energy Physics, 2023
A generalization of the 4d Chern-Simons theory action introduced by Costello and Yamazaki is presented. We apply general arguments from symplectic geometry concerning the Hamiltonian action of a symmetry group on the space of gauge connections defined on
David M. Schmidtt
doaj   +1 more source

2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles

European Physical Journal C: Particles and Fields, 2022
We compare the construction of 2D integrable models through two gauge field theories. The first one is the 4D Chern–Simons (4D-CS) theory proposed by Costello and Yamazaki.
A. Levin, M. Olshanetsky, A. Zotov
doaj   +1 more source

Integrable structures in string field theory

Physics Letters B, 2003
11 pages; v.2:some adjustments, some explicit equations ...
Loriano Bonora, A.S. Sorin
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On characteristic integrals of Toda field theories [PDF]

Journal of Nonlinear Mathematical Physics, 2021
Characteristic integrals of Toda field theories associated to simple Lie algebras are presented in the most explicit forms, both in terms of the formulas and in terms of the proofs.
openaire   +3 more sources

On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models

Journal of High Energy Physics, 2018
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix.
A. Liashyk, N. A. Slavnov
doaj   +1 more source