Algebraic and Geometric Structures in String Backgrounds

Bong H. Lian; Gregg J. Zuckerman

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arXiv · hep-th/9506210

Algebraic and Geometric Structures in String Backgrounds

Bong H. Lian·Gregg J. Zuckerman

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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 G-algebra can be partially described in term of a geometrical G-algebra of the affine plane $\bC^2$. This paper will appear in the proceedings of {\it Strings 95}.

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Bong H. Lian, Gregg J. Zuckerman. 1995-06-30. Algebraic and Geometric Structures in String Backgrounds. https://arxiv.org/abs/hep-th/9506210

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