# Search results for: E. Ragoucy

Communications in Mathematical Physics > 2019 > 365 > 3 > 1079-1090

Nuclear Physics B > 2017 > 923 > C > 277-311

Communications in Mathematical Physics > 2017 > 354 > 2 > 753-773

Communications in Mathematical Physics > 2017 > 349 > 1 > 271-283

*R*-matrices that depend separately on two spectral parameters. The Baxterisation is based on a new algebra, close to but different from the braid group. We study representations of this new algebra on the vector space $${(\mathbb{C}^m)^{\otimes n}}$$ ( C m ) ⊗ n , when the generators act locally. The ones for $${m=2}$$ m = 2 are completely...

Nuclear Physics B > 2016 > 911 > C > 902-927

Journal of Algebra > 2016 > 455 > C > 386-401

Nuclear Physics, Section B > 2015 > 893 > Complete > 459-481

Nuclear Physics, Section B > 2015 > 893 > Complete > 305-331

Communications in Mathematical Physics > 2015 > 336 > 2 > 1053-1084

*G*

_{2}. The generators are given by determinant formulas in the context of the Poisson vertex algebras. We also show that the images of the $${\mathcal{W}}$$...

Nuclear Physics, Section B > 2014 > 881 > Complete > 343-368

Theoretical and Mathematical Physics > 2014 > 181 > 3 > 1566-1584

*3*)-invariant R-matrix. These representations can be used to calculate correlation functions in physically interesting models.

Theoretical and Mathematical Physics > 2014 > 178 > 3 > 314-335

*(3)*trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed in terms of bilinear combinations of the highest coefficients. We show that there exist two different highest coefficients in the models with a GL

*(3)*trigonometric R-matrix. We obtain various representations for the highest...

Theoretical and Mathematical Physics > 2014 > 178 > 2 > 223-238

_{N}(q) that are characterized by two matrices with a generalized complex Hadamard property. We give partial classifications for the two matrices, in particular, in the case where they reduce to Fourier or Butson matrices.

Theoretical and Mathematical Physics > 2014 > 180 > 1 > 795-814

*3*) trigonometric R-matrix solvable by the nested algebraic Bethe ansatz and obtain an explicit representation for a scalar product of generic Bethe vectors in terms of a sum over partitions of Bethe parameters. This representation generalizes the known formula for scalar products in models with the GL(

*3*)-invariant R-matrix.

Journal of Algebra > 2013 > 387 > Complete > 144-159

Journal of High Energy Physics > 2013 > 2013 > 8 > 1-21

*α*′ expansion of tree-level open superstring amplitudes which correlates the appearance of higher depth multiple zeta values with that of simple zeta values in a particular way. We rephrase this relationship in terms of the coaction on motivic multiple zeta values and show that the pattern takes a very simple form, which can be simply explained by relating...

Nuclear Physics, Section B > 2012 > 858 > 3 > 502-512

Journal of High Energy Physics > 2011 > 2011 > 11 > 1-16

Nuclear Physics, Section B > 2010 > 828 > 3 > 515-535

Journal of High Energy Physics > 2010 > 2010 > 4 > 1-29