Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-01-24
Physics
High Energy Physics
High Energy Physics - Theory
V2: minor improvements, added citations
Scientific paper
We show that any pair of classical solutions of open string field theory can be related by a formal gauge transformation defined by a gauge parameter $U$ without an inverse. We investigate how this observation can be used to construct new solutions. We find that a choice of gauge parameter consistently generates a new solution only if the BRST charge maps the image of $U$ into itself. When this occurs, we argue that $U$ naturally defines a star algebra projector which describes a surface of string connecting the boundary conformal field theories of the classical solutions related by $U$. We also note that singular gauge transformations give the solution space of open string field theory the structure of a category, and we comment on the physical interpretation of this observation.
Erler Theodore
Maccaferri Carlo
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