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Integrable field theories with defects [PDF]
Czechoslovak Journal of Physics, 2006 The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the super sinh-Gordon model is constructed and shown to generate the Backlund transformations for ...
Gomes, J. F. +2 more
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Renormalons in integrable field theories [PDF]
Journal of High Energy Physics, 2020 In integrable field theories in two dimensions, the Bethe ansatz can be used to compute exactly the ground state energy in the presence of an external field coupled to a conserved charge.
Marcos Mariño, Tomás Reis
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Noncommutative integrable field theories in 2d [PDF]
Nuclear Physics B, 2003 18 pages, 1 figure; v2: references ...
Cabrera-Camero, I, Moriconi, M.
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Integrable field theories and their CCFT duals
Journal of High Energy Physics, 2023 We compute the Mellin transforms of various two-dimensional integrable S-matrices, providing the first explicit, non-perturbative realizations of celestial CFT.
Daniel Kapec, Adam Tropper
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Discreteness and integrality in Conformal Field Theory [PDF]
Journal of High Energy Physics, 2021 Abstract Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the space of CFTs is lacking.
Kaidi, Justin, Perlmutter, Eric
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T T ¯ $$ T\overline{T} $$ -deformation and long range spin chains
Journal of High Energy Physics, 2020 We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the T T ¯ $$ T\overline{T} $$ -deformation of 1+1 dimensional integrable
Balázs Pozsgay +2 more
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Integrable coupled massive Thirring model with field values in a Grassmann algebra
Journal of High Energy Physics, 2023 A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick +3 more
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Null-Vectors in Integrable Field Theory [PDF]
Communications in Mathematical Physics, 1997 The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresponding minimal model of conformal field theory. We describe the subspaces which correspond to the Verma modules of primary fields in terms of the commutative algebra of local
Babelon, O. +2 more
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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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.
Bowcock, P., Corrigan, E., Zambon, C.
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