2 citations · 3 across the 3 of their papers we have counts for
8 papers
On deformation theory of quantum vertex algebras
Harald Grosse, Karl-Georg Schlesinger
We study an algebraic deformation problem which captures the data of the general deformation problem for a quantum vertex algebra. We derive a system of coupled equations which is…
The universal envelope of the topological closed string BRST-complex
Harald Grosse, Karl-Georg Schlesinger
We construct a universal envelope for any Poisson- and Gerstenhaber algebra. While the deformation theory of Poisson algebras seems to be partially trivial, results from string- an…
A duality Hopf algebra for holomorphic N=1 special geometries
Karl-Georg Schlesinger
We find a self-dual noncommutative and noncocommutative Hopf algebra acting as a universal symmetry on the modules over inner Frobenius algebras of modular categories (as used in t…
A universal symmetry structure in open string theory
Karl-Georg Schlesinger
In this paper, we arrive from different starting points at the conclusion that the symmetry given by an action of the Grothendieck-Teichmueller group GT on the so called extended m…
Some remarks on q-deformed multiple polylogarithms
Karl-Georg Schlesinger
We introduce general q-deformed multiple polylogarithms which even in the dilogarithm case differ slightly from the deformation usually discussed in the literature. The merit of th…
On a noncommutative deformation of the Connes-Kreimer algebra
Harald Grosse, Karl-Georg Schlesinger
We study a noncommutative deformation of the commutative Hopf algebra of rooted trees which was shown by Connes and Kreimer to be related to the mathematical structure of renormali…