Tachyon potentials, star products and universality

Details Tachyon potentials, star products and universality Tachyon potentials, star products and universality

2000-06-30

arxiv.org/abs/hep-th/0006240v2

JHEP 0109:038,2001

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, LaTeX. Small typos corrected, including eqn.(6.23)

Scientific paper

10.1088/1126-6708/2001/09/038

We develop an efficient recursive method to evaluate the tachyon potential using the relevant universal subalgebra of the open string star algebra. This method, using off-shell versions of Virasoro Ward identities, avoids explicit computation of conformal transformations of operators and does not require a choice of background. We illustrate the procedure with a pedagogic computation of the level six tachyon potential in an arbitrary gauge, and the evaluation of a few simple star products. We give a background independent construction of the so-called identity of the star algebra, and show how it fits into family of string fields generating a commutative subalgebra.

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