111 citations · 461 across the 10 of their papers we have counts for
10 papers
Quantum walled Brauer algebra: commuting families, Baxterization, and representations
A M Semikhatov, I Yu Tipunin
For the quantum walled Brauer algebra, we construct its Specht modules and (for generic parameters of the algebra) seminormal modules. The latter construction yields the spectrum o…
Logarithmic ^sl(2) CFT models from Nichols algebras. 1
A. M. Semikhatov, I. Yu. Tipunin
We construct chiral algebras that centralize rank-two Nichols algebras with at least one fermionic generator. This gives "logarithmic" W-algebra extensions of a fractional-level ^s…
The Nichols algebra of screenings
A. M. Semikhatov, I. Yu. Tipunin
Two related constructions are associated with screening operators in models of two-dimensional conformal field theory. One is a local system constructed in terms of the braided vec…
Nonsemisimple Fusion Algebras and the Verlinde Formula
J. Fuchs, S. Hwang, A. M. Semikhatov +1
We find a nonsemisimple fusion algebra F_p associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F_…
Logarithmic Conformal Field Theories via Logarithmic Deformations
J. Fjelstad, J. Fuchs, S. Hwang +2
We construct logarithmic conformal field theories starting from an ordinary conformal field theory -- with a chiral algebra C and the corresponding space of states V -- via a two-s…
Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras
P. Bowcock, B. L. Feigin, A. M. Semikhatov +1
We discover a realisation of the affine Lie superalgebra sl(2|1) and of the exceptional affine superalgebra D(2|1;alpha) as vertex operator extensions of two affine sl(2) algebras…