Hilbert space of curved βγ systems on quadric cones
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We clarify the structure of the Hilbert space of curved βγ 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.
How to cite this document
Aisaka, Yuri; Arroyo, E. Aldo. Hilbert space of curved βγ systems on quadric cones. Journal of High Energy Physics, v. 2008, n. 8, 2008. Available at: <http://hdl.handle.net/11449/130527>.