Sen, Ashoke ; Zwiebach, Barton (1994) A proof of local background independence of classical closed string field theory Nuclear Physics B, 414 (3). pp. 649711. ISSN 05503213

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Related URL: http://dx.doi.org/10.1016/05503213(94)902585
Abstract
We give a complete proof of local background independence of the classical master action for closed strings by constructing explicitly, for any two nearby conformal theories in a CFT theory space, a symplectic diffeomorphism between their state spaces mapping the corresponding nonpolynomial string actions into each other. We uncover a new family of string vertices, the lowest of whichis a three string vertex satisfying exact Jacobi identities with respect to the original closed string vertices. The homotopies between the two sets of string vertices determine the diffeomorphism establishing background independence. The linear part of the diffeomorphism is implemented by a CFT theoryspace connection determined by the offshell three closed string vertex, showing how string field theory induces a natural interplay between Riemann surface geometry and CFT theory space geometry.
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ID Code:  44111 
Deposited On:  20 Jun 2011 12:04 
Last Modified:  18 May 2016 00:54 
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