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Representations of the Exceptional Lie superalgebra $E(3,6): II. Four series of degenerate modules
Victor G. Kac, Alexei Rudakov
Four $\ZZ_+$-bigraded complexes with the action of the exceptional infinite-dimensional Lie superalgebra E(3,6) are constructed. We show that all the images and cokernels and all b…
Representations of the Exceptional Lie superalgebra E(3,6): I. Degeneracy conditions
Victor G. Kac, Alexi Rudakov
Recently one of the authors obtained a classification of simple infinite-dimensional Lie superalgebras of vector fields which extends the well-known classification of E. Cartan in…
The stability of vacua in two-dimensional gauge theory
Victor Kac, Jan Troost
We discuss the stability of vacua in two-dimensional gauge theory for any simple, simply connected gauge group. Making use of the representation of a vacuum in terms of a Wilson li…
Theory of Finite Pseudoalgebras
Bojko Bakalov, Alessandro D'Andrea, Victor G. Kac
Conformal algebras, recently introduced by Kac, encode an axiomatic description of the singular part of the operator product expansion in conformal field theory. The objective of t…
Integrable highest weight modules over affine superalgebras and Appell's function
Victor G. Kac, Minoru Wakimoto
We classify integrable irreducible highest weight representations of non-twisted affine Lie superalgebras. We give a free field construction in the level~1 case. The analysis of th…