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Singular gauge transformations in string field theory
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"... 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 b ..."
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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. Contents 1
Algebraic solutions in Open String Field Theory - A Lightning Review,” arXiv:1004.4858 [hep-th
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On string fields and superstring field theories
"... Abstract: We offer some thoughts regarding the space of string fields. We suggest that this space should be identified as the odd component of a star-algebra and focus among other issues on the role of the mid-point. We argue that theories with mid-point insertions in the action, such as the modifie ..."
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Cited by 16 (8 self)
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Abstract: We offer some thoughts regarding the space of string fields. We suggest that this space should be identified as the odd component of a star-algebra and focus among other issues on the role of the mid-point. We argue that theories with mid-point insertions in the action, such as the modified cubic theory can be well behaved, even if this mid-point insertion has a non-trivial kernel. We then discuss the recent proposal by Berkovits and Siegel of a non-minimal superstring field theory. In this theory the action contains a mid-point insertion of a non-zero conformal weight. We show that, while this is a-priori a problem, it might be possible (in the NS sector) to make sense out of this theory by regularizing it. A cleaner resolution of the problem is to extend the non-minimal sector in a way that allows a zero-weight mid-point insertion with the desired properties. We also study the generalisation of the theory to the NS − sector and explain the problems with defining the Ramond sectors. We show that the non-minimal theory supports all the known solutions of the standard modified cubic superstring field theory, including the GSO+ vacuum solution. The properties of the solutions carry over to the non-minimal theory. In particular, the vacuum solution has the correct tension and cohomology.
Comments on Gauge Invariant Overlaps for Marginal Solutions in Open String Field Theory,” arXiv:0808.0355
"... open string field theory ..."
