Form factors of local operators in supersymmetric quantum integrable models
@article{Fuksa2017FormFO, title={Form factors of local operators in supersymmetric quantum integrable models}, author={Jan Fuksa and Nikita Andreevich Slavnov}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2017}, volume={2017} }
We apply the nested algebraic Bethe ansatz to the models with gl(2|1) and gl(1|2) supersymmetry. We show that form factors of local operators in these models can be expressed in terms of the universal form factors. Our derivation is based on the use of the RTT-algebra only. It does not refer to any specific representation of this algebra. We obtain thus determinant representations for form factors of local operators in the cases where an explicit solution of the quantum inverse scattering…
17 Citations
Nested Algebraic Bethe Ansatz in integrable models: recent results
- MathematicsSciPost Physics Lecture Notes
- 2018
We review the recent results we have obtained in the framework of
algebraic Bethe ansatz based on algebras and superalgebras of rank
greater than 1 or on their quantum deformation. We present…
Determinant Representations for Scalar Products in the Algebraic Bethe Ansatz
- MathematicsTheoretical and Mathematical Physics
- 2018
We study integrable models with gl(2|1) symmetry that are solvable by the nested algebraic Bethe ansatz. We obtain a new determinant representation for scalar products of twisted and ordinary…
Determinant Representations for Scalar Products in the Algebraic Bethe Ansatz
- MathematicsTheoretical and Mathematical Physics
- 2018
We study integrable models with gl(2|1) symmetry that are solvable by the nested algebraic Bethe ansatz. We obtain a new determinant representation for scalar products of twisted and ordinary…
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
- Mathematics
- 2017
Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on…
Generating function for scalar products in the algebraic Bethe ansatz
- Mathematics
- 2020
Abstract We construct a family of determinant representations for scalar products of Bethe vectors in models with $$ \mathfrak{gl} (3)$$ symmetry. This family is defined by a single generating…
Introduction to the nested algebraic Bethe ansatz
- Mathematics
- 2019
We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a $\mathfrak{gl}_3$-invariant $R$-matrix as the basic example, however, we also describe…
Scalar product of twisted XXX modified Bethe vectors
- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2018
We consider closed XXX spin chains with broken total spin symmetry within the framework of the modified algebraic Bethe ansatz. We study multiple actions of the modified monodromy matrix entries on…
Scalar products and norm of Bethe vectors for integrable models based on U q ( Ò gl m )
- Mathematics
- 2018
We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra Uq( glm). We also…
Submission Introduction to the nested algebraic Bethe ansatz
- Mathematics
- 2021
We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a gl3-invariant R-matrix as the basic example, however, we also describe possible…
Submission LAPTH-042 / 17 Scalar products and norm of Bethe vectors for integrable models based on U q ( ĝl m )
- Mathematics
- 2018
We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra Uq(ĝlm). We also…
References
SHOWING 1-10 OF 77 REFERENCES
Form factors of local operators in the algebraic Bethe ansatz
- Mathematics
- 2015
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is…
GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
- Mathematics
- 2015
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the to- tal monodromy matrix of the model is…
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
- Mathematics
- 2015
We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors…
Form factors of local operators in a one-dimensional two-component Bose gas
- Mathematics
- 2015
We consider a one-dimensional model of a two-component Bose gas and study form factors of local operators in this model. For this aim, we use an approach based on the algebraic Bethe ansatz. We show…
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
- Mathematics
- 2017
Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on…
Scalar products of Bethe vectors in models with gl(2|1) symmetry 2. Determinant representation
- Mathematics
- 2016
We study integrable models with gl(2|1) symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters…
The algebraic Bethe ansatz and quantum integrable systems
- Mathematics, Physics
- 2007
Methods are considered for applying an algebra with bilinear commutation relations to the theory of quantum integrable systems. This survey describes most of the results obtained in this area over…
The algebraic Bethe ansatz and quantum integrable systems
- Mathematics, Physics
- 2007
Methods are considered for applying an algebra with bilinear commutation relations to the theory of quantum integrable systems. This survey describes most of the results obtained in this area over…