2 citations · 2 across the 7 of their papers we have counts for
10 papers
Non-linear Lie Conformal Algebras and One-Loop Corrections of self-dual Yang-Mills amplitudes
Charles Igel, Jeremy Mancinas, Juan Villarreal
This work is motivated by recent developments in celestial holography. In \cite{CP}, the authors interpreted QCD collinear singularities in terms of operator product expansions in…
Associated Varieties of Ordinary Modules over Quasi-Lisse Vertex Algebras
Juan Villarreal
We prove that if is a conical simple self-dual quasi-lisse vertex algebra and is an ordinary module then . Hence, if moreover is irreducible then $…
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,…
Lambda bracket and Intertwiners
Juan J. Villarreal
We describe the intertwiners between modules of a vertex algebra using the language of lambda bracket. We apply this formalism to obtain some classical results on conformal field t…
The centre of the modular affine vertex algebra
Tomoyuki Arakawa, Lewis Topley, Juan J. Villarreal
The Feigin--Frenkel theorem states that, over the complex numbers, the centre of the universal affine vertex algebra at the critical level is an infinite rank polynomial algebra. T…
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…
An Analytical Approach to the equivariant index and Witten genus on spin manifolds
Juan Jose Villarreal
This work is divide in two cases. In the first case, we consider a spin manifold as the set of fixed points of an -action on a spin manifold , and in the second case…
Nilmanifolds and their associated non local fields
Juan Jose Villarreal
For six dimensional nilmanifolds we build a module of an affine Kac Moody vertex algebras. Then, we associate some logarithmic fields for the module and…
The Computation of the Möbius Function of a Möbius Category
Emil Daniel Schwab, Juan Villarreal
The paper presents some results for reducing the computation of the Möbius functon of a Möbius category that arises from a combinatorial inverse semigroup to that of locally finite…