Classical integrable super sinh-Gordon equation with defects
نویسندگان
چکیده
منابع مشابه
Classical integrable N = 1 and N = 2 super sinh-Gordon models with jump defects
The structure of integrable field theories in the presence of jump 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 N = 1 and N = 2 super sinh-Gordon models are constructed and shown to generate the Backlund transformations for its soliton solution...
متن کاملOn noncommutative sinh-Gordon equation
We give a noncommutative extension of sinh-Gordon equation. We generalize a linear system and Lax representation of the sinh-Gordon equation in noncommutative space. This generalization gives a noncommutative version of the sinh-Gordon equation with extra constraints, which can be expressed as global conserved currents. PACS: 11.10.Nx, 02.30.Ik
متن کاملThermodynamics of Classical Sine-and Sinh-gordon Models
Using the recently obtained exact results for the expectation values of operators in the sineand sinh-Gordon models [A. B. Zamolodchikov and S. Lukyanov, Nucl. Phys. B493, 571 (1997), V. Fateev, S. Lukyanov, A. B. Zamolodchikov and Al. B. Zamolodchikov, Phys. Lett. B406, 83 (1997)] we calculate the specific heat of the corresponding classical models. We show that the temperature dependence of t...
متن کاملThe Hyperbolic Geometry of the Sinh - Gordon Equation Preprint
This preliminary report studies immersed surfaces of constant mean curvature in H through their adjusted Gauss maps (as harmonic maps in S) and their adjusted frames in SU(2). Lawson’s correspondence between Euclidean CMC surfaces and their hyperbolic cousins is interpreted here under a different perspective: the equivalence of their Weierstrass representations (normalized potentials). This wor...
متن کاملThe sine-Gordon model with integrable defects revisited
Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-matrix algebra. The first local integrals of motion are identified together with the corresponding Lax pairs. Continuity conditions imposed on the time components of the entailed Lax pairs give rise to the sewing conditi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2006
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/23/020