Bosonization of Matter $βγ$ CFT, Non-compact Coordinate and Noncritical String Theory
Abstract
Description
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.
11 pages
11 pages