7 citations · 19 across the 6 of their papers we have counts for
6 papers
The three point gauge algebra and an action on a Fock space
Ben Cox, Elizabeth Jurisich, Renato Martins
The three point current algebra where and three-point Virasoro algebra both act on a previously con…
The 3-point Virasoro algebra and its action on a Fock space
Ben Cox, Elizabeth Jurisich, Renato Martins
We define a 3-point Virasoro algebra, and construct a representation of it on a previously defined Fock space for the 3-point affine algebra $\mathfrak{sl}(2, \mathcal R) \oplus\le…
Determination of the 2- cocycles for the three point Witt algebra
Elizabeth Jurisich, Renato A. Martins
We provide formulas for computing the cocycles on a 3-point Witt algebra Der(R), using an isomorphism between two 3-point algebras Der(R) and Der(S), where the cocycle is already d…
Localization of free field realizations of affine Lie algebras
Vyacheslav Futorny, Dimitar Grantcharov, Renato A. Martins
We use localization technique to construct new families of irreducible modules of affine Kac-Moody algebras. In particular, localization is applied to the first free field realizat…
Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra
Ben Cox, Vyacheslav Futorny, Renato Alessandro Martins
We use the description of the universal central extension of the DJKM algebra where given in earlier work to c…
Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation
Ben Cox, Vyacheslav Futorny, Renato Martins
We define the Virasoro algebra action on imaginary Verma modules for affine sl(2) and construct the analogs of Knizhnik-Zamolodchikov equation in the operator form. Both these resu…