262 citations · 3.5k across the 155 of their papers we have counts for
5 papers · 1 filter
Classification of infinite-dimensional simple groups of supersymmetries and quantum field theory
Victor G. Kac
Talk given at the conference "Visions in Mathematics toward the year 2000", August 1999, Tel-Aviv.
Quasifinite representations of W_{\infty}
Victor G. Kac, Jose I. Liberati
We classify the quasifinite highest weight modules over a family of subalgebras W_{\infty}^{n} of the central extension W_{1+\infty} of the Lie algebra of differential operators on…
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…
Corrections to the book ``Vertex algebras for beginners'', second edition, by Victor Kac
Victor Kac
These are corrections to the second edition of the book ``Vertex algebras for beginners'', University Lecture Series, 10, American Mathematical Society, Providence, RI, 1998.