CFT Description of Identity String Field: Toward Derivation of the VSFT Action
Abstract
We concretely define the identity string field as a surface state and deal with it consistently in terms of conformal field theory language, never using its formal properties nor oscillator representation of it. The generalized gluing and resmoothing theorem provides us with a powerful computational tool which fits into our framework. Among others, we can prove that in some situations the identity state defined this way actually behaves itself like an identity element under the *-product. We use these CFT techniques to give an explicit expression of the classical solution in the ordinary cubic string field theory having the property that the conjectured vacuum string field theory action arises when the cubic action is expanded around it.
Keywords
Cite
@article{arxiv.hep-th/0112169,
title = {CFT Description of Identity String Field: Toward Derivation of the VSFT Action},
author = {Isao Kishimoto and Kazuki Ohmori},
journal= {arXiv preprint arXiv:hep-th/0112169},
year = {2009}
}
Comments
41 pages, 13 figures. v2: footnote 3 corrected, reference updated. v3: The proofs of eq.(4.32) have been improved. Footnote 14 added, and minor corrections