42 citations · 277 across the 25 of their papers we have counts for
15 papers · 1 filter
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…
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…
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…
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…