Sen, Ashoke
(1990)
*On the background independence of string field theory: II. Analysis of on-shell S-matrix elements*
Nuclear Physics B, 347
(1-2).
pp. 270-318.
ISSN 0550-3213

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0550-3213(90)90560-Z

## Abstract

Given a solution ψ_{cl} of the classical equations of motion in either closed or open string field theory based on a certain conformal field theory (CFT) we may define a shifted string field ψ^{^}=ψ−ψ_{cl}. The string field theory action expressed interms of the shifted field is then given by S^{^}(ψ^{^})=S(ψ^{^}+ψ_{cl}−S(ψ_{cl}), where S(ψ) is the original action of the string field theory. In S(ψ^{^}) the coefficient (Q^{^}_{B}) of the quadratic term ψ^{^} in has the property that (Q^{^}_{B})_{2}=0. It was shown in a previous paper that in the limit when the background ψ_{cl} is weak, Q^{^}_{B} can be identified with the BRST charge of a new conformal field theory (CFT"), which is obtained by perturbing the orginal conformal field theory (CTF) by a marginal operator. In this paper we compute various on-shell S-matrix elements using the action S^{^} (ψ^{^}) and show that they are identical to the on-shell S-matrix in the string based on the new conformal field theory (CTF"). This in turn shows that S^{^}(ψ^{^}) describes string theory formulated around the background of this new conformal field theory.

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

ID Code: | 44128 |

Deposited On: | 20 Jun 2011 12:24 |

Last Modified: | 20 Jun 2011 12:24 |

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