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Bosonization of Matter βγ CFT, Non-compact Coordinate and Noncritical String Theory

2008/09/12 by Bom Soo Kim, Kim, Bom Soo
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0809.2118

11 pages

arxiv created 2008/09/12 · openalex publication_date 2008/09/12 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We consider a (supersymmetric) bosonization of general commuting matter βγ CFT. Unlike the conventional ghost βγ CFT bosonization, which is typically described in terms of one scalar and one set of ξη CFT, the matter βγ CFT is naturally bosonized to two scalar CFTs. Surprisingly, there exists an independent subsector, which satisfies a constraint necessary for consistent bosonization, while the usual sector has a description in terms of two compact coordinates. The subsector itself is a complete system which is equivalent to the original βγ CFT. Furthermore, a non-compact coordinate naturally emerges in this "non-compact subsector". As an immediate application, we consider the bosonization of matter βγ CFT in the context of full string theory and find the connection to noncritical string theories in the light-cone gauge.

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