Hilbert space of curved βγsystems on quadric cones

Details Hilbert space of curved βγsystems on quadric cones Hilbert space of curved βγsystems on quadric cones

2008-06-03

arxiv.org/abs/0806.0586v1

JHEP 0808:052,2008

Physics

High Energy Physics

High Energy Physics - Theory

45 pages

Scientific paper

10.1088/1126-6708/2008/08/052

We clarify the structure of the Hilbert space of curved \beta\gamma systems defined by a quadratic constraint. The constraint is studied using intrinsic and BRST methods, and their partition functions are shown to agree. The quantum BRST cohomology is non-empty only at ghost numbers 0 and 1, and there is a one-to-one mapping between these two sectors. In the intrinsic description, the ghost number 1 operators correspond to the ones that are not globally defined on the constrained surface. Extension of the results to the pure spinor superstring is discussed in a separate work.

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