262 citations · 3.5k across the 155 of their papers we have counts for
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On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras, II
Pavel Etingof
Recently, motivated by supersymmetric gauge theory, Cachazo, Douglas, Seiberg, and Witten proposed a conjecture about finite dimensional simple Lie algebras, and checked it in the…
Good Gradings of Simple Lie Algebras
A. G. Elashvili, V. G. Kac
We study and give a complete classification of good $\ZZ$-gradings of all simple finite-dimensional Lie algebras. This problem arose in the quantum Hamiltonian reduction for affine…
Solitons in Affine and Permutation Orbifolds
Victor G. Kac, Roberto Longo, Feng Xu
We consider properties of solitons in general orbifolds in the algebraic quantum field theory framework and constructions of solitons in affine and permutation orbifolds. Under gen…
Representations of the exceptional Lie superalgebra E(3,6) III: Classification of singular vectors
Victor G. Kac, Alexei Rudakov
We continue the study of irreducible representations of the exceptional Lie superalgebra E(3,6). This is one of the two simple infinite-dimensional Lie superalgebras of vector fiel…
On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras
Pavel Etingof, Victor Kac
Recently, motivated by supersymmetric gauge theory, Cachazo, Douglas, Seiberg, and Witten proposed a conjecture about finite dimensional simple Lie algebras, and checked it in the…
Quantum Reduction and Representation Theory of Superconformal Algebras
Victor Kac, Minoru Wakimoto
We study the structure and representations of a family of vertex algebras obtained from affine superalgebras by quantum reduction. As an application, we obtain in a unified way fre…