Integrability of the boundary sine-Gordon model

DOI10.1088/0305-4470/39/10/009zbMATH Open1089.35063arXivhep-th/0510099OpenAlexW1508385820MaRDI QIDQ3376786

Tako Mattik

Publication date: 24 March 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: We construct a boundary Lagrangian for the N=2 supersymmetric sine-Gordon model which preserves (B-type) supersymmetry and integrability to all orders in the bulk coupling constant g. The supersymmetry constraint is expressed in terms of matrix factorisations.

Full work available at URL: https://arxiv.org/abs/hep-th/0510099

zbMATH Keywords

integrabilitysupersymmetrysupersymmetric sine-Gordon model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (8)

Integrable Z_n*Z_nBelavin model with non-trivial boundary terms ⋮ Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions ⋮ Integrable noncommutative sine-Gordon model ⋮ Integrability of Green-Schwarz sigma models with boundaries ⋮ Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation ⋮ The boundary \(N=2\) supersymmetric sine-Gordon model ⋮ Integrable boundary conditions for the B ₂ model ⋮ Multisymplectic approach to integrable defects in the sine-Gordon model

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