New perspectives on the BRST-algebraic structure of string theory (Q2367959)

The authors give a new interpretation for the action of the symmetry charges on the BRST cohomology in terms of what they call the Gerstenhaber bracket. This interpretation gives rise to a new class of examples of what mathematicians call a Gerstenhaber algebra. Applying their theory to the \(c=1\) model, they give a precise conceptual description of the BRST-Gerstenhaber algebra of this model. They also show that their constructions generalize to any topological conformal field theory.