Topology and Solutions in Cubic Superstring Field Theory(String Field Theory and Related Aspects (SFT2010))
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概要
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In this contribution to the proceedings for the conference "SFT2010" at the Yukawa Institute for Theoretical Physics in Kyoto, Japan, I note that the space of classical solutions of Berkovits' nonpolynomial string field theory is a proper subset of the space of classical solutions of cubic superstring field theory. This leads to a conjecture that the additional solutions of cubic superstring field theory carry some type of topological charge. To test this proposal, I consider a curious class of universal solutions in cubic superstring field theory which appear not to exist in the Berkovits formalism. The solutions are complex and their physical interpretation is unknown. However, I show that within a certain subalgebra of states, the solutions appear in two topologically disconnected sectors, related by large gauge transformations. Thus they represent the first explicit example of a nontrivial topological structure in the space of string fields, and give some support to the idea that topological charge is behind the curious mismatch between cubic and Berkovits' string field theory.
- 2011-05-24
著者
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Erler Theodore
Institute Of Physics Of The Ascr V.v.i.
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ERLER Theodore
Institute of Physics of the ASCR, v.v.i.