178 citations · 1k across the 56 of their papers we have counts for
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Braided Logarithmic Vertex Algebras
Bojko Bakalov, Juan J. Villarreal
We study a family of algebras defined using a locally-finite endomorphism called a braiding map. When the braiding map is semi-simple, the algebra is a generalized vertex algebra,…
Poisson Pseudoalgebras
Bojko Bakalov, Ju Wang
For any cocommutative Hopf algebra and a left -module , we construct an operad , which in the special case when is the algebra of polynomials i…
Orbifolds of Lattice Vertex Algebras
Bojko Bakalov, Jason Elsinger, Victor G. Kac +1
To a positive-definite even lattice , one can associate the lattice vertex algebra , and any automorphism of lifts to an automorphism of . In this paper, we in…
Logarithmic vertex algebras and non-local Poisson vertex algebras
Bojko Bakalov, Juan Villarreal
Logarithmic vertex algebras were introduced in our previous paper, motivated by logarithmic conformal field theory. Non-local Poisson vertex algebras were introduced by De Sole and…
Logarithmic Vertex Algebras
Bojko Bakalov, Juan J. Villarreal
We introduce and study the notion of a logarithmic vertex algebra, which is a vertex algebra with logarithmic singularities in the operator product expansion of quantum fields; thu…
Representations of Twisted Toroidal Lie Algebras from Twisted Modules over Vertex Algebras
Bojko Bakalov, Samantha Kirk
Given a simple finite-dimensional Lie algebra and an automorphism of finite order, one defines the notion of a twisted toroidal Lie algebra. In this paper, we construct representat…