Tachyon potentials, star products and universality | Zendy

Leonardo Rastelli | Zendy; Barton Zwiebach | Zendy

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Tachyon potentials, star products and universality

Author(s) -

Leonardo Rastelli,

Barton Zwiebach

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/09/038

Subject(s) - tachyon , subalgebra , computation , algebra over a field , star (game theory) , universality (dynamical systems) , tachyon condensation , string (physics) , mathematics , physics , pure mathematics , string field theory , mathematical physics , algorithm , quantum mechanics , mathematical analysis

We develop an efficient recursive method to evaluate the tachyon potentialusing the relevant universal subalgebra of the open string star algebra. Thismethod, using off-shell versions of Virasoro Ward identities, avoids explicitcomputation of conformal transformations of operators and does not require achoice of background. We illustrate the procedure with a pedagogic computationof the level six tachyon potential in an arbitrary gauge, and the evaluation ofa few simple star products. We give a background independent construction ofthe so-called identity of the star algebra, and show how it fits into family ofstring fields generating a commutative subalgebra.Comment: 42 pages, LaTeX. Small typos corrected, including eqn.(6.23

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