262 citations · 3.5k across the 155 of their papers we have counts for
12 papers · 1 filter
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…
Normalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group
V. G. Kac, A. V. Smilga
We study the question of existence and the number of normalized vacuum states in N = 4 super-Yang-Mills quantum mechanics for any gauge group. The mass deformation method is the si…
Vacuum structure in supersymmetric Yang-Mills theories with any gauge group
V. G. Kac, A. V. Smilga
We consider the pure supersymmetric Yang--Mills theories placed on a small 3-dimensional spatial torus with higher orthogonal and exceptional gauge groups. The problem of construct…
Affine orbifolds and rational conformal field theory extensions of W_{1+infinity}
Victor G. Kac, Ivan T. Todorov
Chiral orbifold models are defined as gauge field theories with a finite gauge group . We start with a conformal current algebra A associated with a connected compact Lie group…
Representation theory of the vertex algebra
Victor Kac, Andrey Radul
In our paper~\cite{KR} we began a systematic study of representations of the universal central extension $\widehat{\Cal D}\/$ of the Lie algebra of differential operators on the ci…
Finite dimensional representations of quantum affine algebras at roots of unity
Jonathan Beck, Victor G. Kac
We describe explicitly the canonical map Spec $\ue(\a{g})\ \rightarrow \ $Spec $\ze$, where $\ue(\a{g})$ is a quantum loop algebra at an odd root of unity $\ve$. Here $\ze$ is…