Algebraic and Geometric Structures in String Backgrounds
Abstract
We give a brief introduction to the study of the algebraic structures  and their geometrical interpretations  which arise in the BRST construction of a conformal string background. Starting from the chiral algebra $\cA$ of a string background, we consider a number of elementary but universal operations on the chiral algebra. From these operations we deduce a certain fundamental odd Poisson structure, known as a Gerstenhaber algebra, on the BRST cohomology of $\cA$. For the 2D string background, the correponding Galgebra can be partially described in term of a geometrical Galgebra of the affine plane $\bC^2$. This paper will appear in the proceedings of {\it Strings 95}.
 Publication:

arXiv eprints
 Pub Date:
 June 1995
 arXiv:
 arXiv:hepth/9506210
 Bibcode:
 1995hep.th....6210L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 13 pages, Latex twice