Singular gauge transformations in string field theory
High Energy Physics - Theory
2010-01-15 v2
Abstract
We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution can be written as a - formal - gauge transformation of the tachyon vacuum. In order for a solution to be non-trivial, this gauge transformation must be singular and we argue that this will happen when the gauge transformation annihilates a projector of the star-algebra. We comment on possible applications of the formalism to finding new solutions.
Cite
@article{arxiv.0903.0390,
title = {Singular gauge transformations in string field theory},
author = {Ian Ellwood},
journal= {arXiv preprint arXiv:0903.0390},
year = {2010}
}
Comments
33 pages, 2 figures. v2: Additional citations added