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Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
Representation theory of three-dimensional Sklyanin algebras
noncommutative algebraic geometry representation theory supersymmetric string theory three-dimensional Sklyanin algebra
2011/9/9
Abstract: We determine the dimensions of irreducible representations of the three-dimensional Sklyanin algebras. This contributes to the study of marginal deformations of the N=4 super Yang-Mills theo...
Non-chiral current algebras for deformed supergroup WZW models
Non-chiral current algebras deformed supergroup WZW models
2010/12/24
We study deformed WZW models on supergroups with vanishing Killing form. The deformation is generated by the isotropic current-current perturbation which is exactly marginal under these assumptions. I...
W-algebras and surface operators in N=2 gauge theories
W-algebras surface operators N=2 gauge theories
2010/12/22
A general class of W-algebras can be constructed from the affine sl(N) algebra by (quantum) Drinfeld-Sokolov reduction and are classified by partitions of N. Surface operators in an N=2 SU(N) 4d gaug...