Browsing by Author "Regelskis, Vidas"

Now showing items 1-9 of 9

    • Algebraic Bethe ansatz for spinor R-matrices 

      Regelskis, Vidas (2022-02-17)
      We present a supermatrix realisation of q-deformed spinor-spinor and spinor-vector Rmatrices. These R-matrices are then used to construct transfer matrices for Uq2(so2n+1)- and Uq(so2n+2)-symmetric closed spin chains. Their ...

    • Equivalences between three presentations of orthogonal and symplectic Yangians 

      Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis (2019-02-01)
      We prove the equivalence of two presentations of the Yangian Y(g) of a simple Lie algebra g, and we also show the equivalence with a third presentation when g is either an orthogonal or a symplectic Lie algebra. As an ...

    • Integrable achiral D5-brane reflections and asymptotic Bethe equations 

      Correa, Diego; Young, Charles A. S.; Regelskis, Vidas (2011-07-20)
      We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states ...

    • Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains 

      Gerrard, Allan; Regelskis, Vidas (2020-07)
      We construct exact eigenvectors and eigenvalues for Uq(sp2n)- and Uq(so2n)-symmetric closed spin chains by means of a nested algebraic Bethe ansatz method. We use a fusion procedure to construct higher-dimensional Lax ...

    • Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry 

      Gerrard, Allan; MacKay, Niall; Regelskis, Vidas (2019-02-05)
      We present a nested algebraic Bethe ansatz for a one-dimensional open spin chain whose boundary quantum spaces are irreducible so 2 n - or sp 2 n -representations, and the monodromy matrix satisfies the defining relations ...

    • Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains 

      Gerrard, Allan; Regelskis, Vidas (2020-03-01)
      We present a nested algebraic Bethe ansatz for one-dimensional so 2n- and sp 2n-symmetric open spin chains with diagonal boundary conditions. The monodromy matrix of these spin chains satisfies the defining relations on ...

    • Pseudo-symmetric pairs for Kac-Moody algebras 

      Regelskis, Vidas; Vlaar, Bart (American Mathematical Society, 2022-08-31)
      Lie algebra involutions and their fixed-point subalgebras give rise to symmetric spaces and real forms of complex Lie algebras, and are wellstudied in the context of symmetrizable Kac-Moody algebras. In this paper we study ...

    • Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams 

      Regelskis, Vidas; Vlaar, Bart (2020-08-01)
      Let (Formula presented.) be a finite-dimensional semisimple complex Lie algebra and (Formula presented.) an involutive automorphism of (Formula presented.). According to Letzter, Kolb and Balagović the fixed-point subalgebra ...

    • Vertex Representations for Yangians of Kac-Moody algebras 

      Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis (2019-09-26)
      Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the PBW property for simply laced affine Yangians.