30 citations · 377 across the 33 of their papers we have counts for
34 papers
Twisted Yangians of types BI, CI, DI and Drinfeld type current relations
Vidas Regelskis
We study twisted Yangians associated with the split symmetric pairs of types BI, CI and DI. We introduce a new presentation of these algebras, which we call the transposed presenta…
Bethe vectors and recurrence relations for twisted Yangian based models
Vidas Regelskis
We study Olshanski twisted Yangian based models, known as one-dimensional "soliton non-preserving" open spin chains, by means of algebraic Bethe ansatz. The even case, when the bul…
Algebraic Bethe Ansatz for spinor R-matrices
Vidas Regelskis
We present a supermatrix realisation of q-deformed spinor-spinor and spinor-vector R-matrices. These R-matrices are then used to construct transfer matrices for $U_{q^2}(\mathfrak{…
Pseudo-symmetric pairs for Kac-Moody algebras
Vidas Regelskis, Bart Vlaar
Lie algebra involutions and their fixed-point subalgebras give rise to symmetric spaces and real forms of complex Lie algebras, and are well-studied in the context of symmetrizable…
Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains
Allan Gerrard, Vidas Regelskis
We construct exact eigenvectors and eigenvalues for - and -symmetric closed spin chains by means of a nested algebraic Bethe ansat…
Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains
Allan Gerrard, Vidas Regelskis
We present a nested algebraic Bethe ansatz for one-dimensional open so(2n)- and sp(2n)-symmetric spin chains with diagonal boundary conditions and described by the extended twisted…