42 citations · 277 across the 25 of their papers we have counts for
26 papers
Open-boundary integrable quantum circuits with different geometries
Miguel García Fernández, Chiara Paletta, Ana L. Retore
We present a complete classification of integrable Yang-Baxter quantum circuits with open boundary conditions and arbitrary circuit geometries. Starting from the standard transfer-…
Quantum-group-invariant models: Bethe ansatz and finite-size spectrum
Holger Frahm, Sascha Gehrmann, Rafael I. Nepomechie +1
We consider the quantum integrable spin chain models associated with the Jimbo R-matrix based on the quantum affine algebra , subject to quantum-group-invariant boun…
Exact approaches on the string worldsheet
Saskia Demulder, Sibylle Driezen, Bob Knighton +5
We review different exact approaches to string theory. In the context of the Green-Schwarz superstring, we discuss the action in curved backgrounds and its supercoset formulation,…
Inequivalent light-cone gauge-fixings of strings on backgrounds
Riccardo Borsato, Sibylle Driezen, Ben Hoare +2
Light-cone gauge-fixed sigma-models on backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of t…
The spin chain and its finite-size spectrum
Holger Frahm, Sascha Gehrmann, Rafael I. Nepomechie +1
Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic spin chain. Supported by a detailed symmetry analysis, we determine the…
Flag Integrable Models and Generalized Graded Algebras
Marius de Leeuw, Rafael I. Nepomechie, Ana L. Retore
We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians, R-matrices and Bethe-ansatz solutions.…
Lifting integrable models and long-range interactions
Marius de Leeuw, Ana. L. Retore
In this paper we discuss a constructive approach to check whether a constant Hamiltonian is Yang-Baxter integrable. We then apply our method to long-range interactions and find the…
Introduction to classical and quantum integrability
Ana L. Retore
In these lecture notes we aim for a pedagogical introduction to both classical and quantum integrability. Starting from Liouville integrability and passing through Lax pair and r-m…
Integrable deformations of AdS/CFT
Marius de Leeuw, Anton Pribytok, Ana L. Retore +1
In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS integrable models. We do this by embedding the corresponding sca…
Spin chains with boundary inhomogeneities
Rafael I. Nepomechie, Ana L. Retore
We investigate the effect of introducing a boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain. We find that it is possible to construct a local…
Factorization identities and algebraic Bethe ansatz for models
Rafael I. Nepomechie, Ana L. Retore
We express transfer matrices as products of transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization…
Yang-Baxter and the Boost: splitting the difference
Marius de Leeuw, Chiara Paletta, Anton Pribytok +2
In this paper we continue our classification of regular solutions of the Yang-Baxter equation using the method based on the spin chain boost operator developed in \cite{deLeeuw:201…
Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
Marius de Leeuw, Chiara Paletta, Anton Pribytok +2
In this paper we first demonstrate explicitly that the new models of integrable nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 satisfy the so-called fr…
Classifying nearest-neighbour interactions and deformations of AdS
Marius de Leeuw, Chiara Paletta, Anton Pribytok +2
We classify all regular solutions of the Yang-Baxter equation of eight-vertex type. Regular solutions correspond to spin chains with nearest-neighbour interactions. We find a total…
New integrable 1D models of superconductivity
Marius de Leeuw, Anton Pribytok, Ana L. Retore +1
In this paper we find new integrable one-dimensional lattice models of electrons. We classify all such nearest-neighbour integrable models with su(2)xsu(2) symmetry following the p…
Towards the solution of an integrable spin chain
Rafael I. Nepomechie, Rodrigo A. Pimenta, Ana L. Retore
Two branches of integrable open quantum-group invariant quantum spin chains are known. For one branch (epsilon=0), a complete Bethe ansatz solution has been propose…
The spectrum of quantum-group-invariant transfer matrices
Rafael I. Nepomechie, Ana L. Retore
Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras , and from certain K-matrices (reflection m…
Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
A. R. Aguirre, J. F. Gomes, A. L. Retore +2
In this paper we consider the supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine algebra. Its Bäcklund transformatio…
Surveying the quantum group symmetries of integrable open spin chains
Rafael I. Nepomechie, Ana L. Retore
Using anisotropic R-matrices associated with affine Lie algebras (specifically, ) and suitable corresponding…
Defects in the supersymmetric mKdV hierarchy via Backlund transformations
A. R. Aguirre, A. L. Retore, J. F. Gomes +2
The integrability of the supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super B…
The integrable quantum group invariant A_{2n-1}^(2) and D_{n+1}^(2) open spin chains
Rafael I. Nepomechie, Rodrigo A. Pimenta, Ana L. Retore
A family of A_{2n}^(2) integrable open spin chains with U_q(C_n) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of A_{2n-1}^(2) in…
Miura and Generalized Bäcklund Transformation for KdV Hierarchy
J. F. Gomes, A. L. Retore, A. H. Zimerman
Using the fact that Miura transformation can be expressed in the form of gauge transformation connecting the KdV and mKdV equations, we discuss the derivation of the Bäcklund trans…
The sinh-Gordon defect matrix generalized for n defects
N. I. Spano, A. L. Retore, J. F. Gomes +2
In this paper we obtain a general expression for the n-defect matrix for the sinh-Gordon model. This in turn generate the general Bäcklund transformations (BT) for a system with $n…
An alternative construction for the Type-II defect matrix for sshG
A. R. Aguirre, J. F. Gomes, A. L. Retore +2
In this paper we construct a Type-II defect (super) matrix for the supersymmetric sinh-Gordon model as a product of two Type-I defect (super) matrices. We also show that the result…