Singular gauge transformations in string field theory

Details Singular gauge transformations in string field theory Singular gauge transformations in string field theory

2009-03-02

arxiv.org/abs/0903.0390v2

JHEP 0905:037,2009

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 2 figures. v2: Additional citations added

Scientific paper

10.1088/1126-6708/2009/05/037

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.

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