Results 51 to 60 of about 1,475,999 (336)
2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles
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
Zamolodchikov–Faddeev algebra and quantum quenches in integrable field theories [PDF]
We analyze quantum quenches in integrable models and in particular we determine the initial state in the basis of eigenstates of the post-quench Hamiltonian. This leads us to consider the set of transformations of creation and annihilation operators that
S. Sotiriadis, D. Fioretto, G. Mussardo
semanticscholar +1 more source
Purely transmitting integrable defects [PDF]
Some aspects of integrable field theories possessing purely transmitting defects are described. The main example is the sine-Gordon model and several striking features of a classical field theory containing one or more defects are pointed out.
A.C. Scott +10 more
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Integrable field theories from Poisson algebras [PDF]
New integrable 1 + 1 dimensional classical field theories are found that include infinite dimensional analogues of N-particle Toda-and Calogero-Moser systems, as well as non-relativistic theories with an interaction that is polynomial in the first ...
Bordemann, M., Hoppe, J., Theisen, S.
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On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models
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
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Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories [PDF]
We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories.
Ahn +20 more
core +2 more sources
T T ¯ $$ T\overline{T} $$ deformations of non-relativistic models
The light-cone gauge approach to T T ¯ $$ T\overline{T} $$ deformed models is used to derive the T T ¯ $$ T\overline{T} $$ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation.
Chantelle Esper, Sergey Frolov
doaj +1 more source
Classically Integrable Cosmological Models with a Scalar Field [PDF]
New classes of classically integrable models in the cosmological theories with a scalar field are obtained by using freedoms of defining time and fields.
Suzuki, H., Takasugi, E., Takayama, Y.
core +3 more sources
Why scalar products in the algebraic Bethe ansatz have determinant representation
We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method
S. Belliard, N. A. Slavnov
doaj +1 more source
Coupling integrable field theories to mechanical systems at the boundary [PDF]
We present an integrable Hamiltonian which describes the sinh-Gordon model on the half line coupled to a non-linear oscillator at the boundary. We explain how we apply Sklyanin's formalism to a dynamical reflection matrix to obtain this model.
P. Baseilhac, G. Delius
semanticscholar +1 more source

