Publication: Hilbert space of curved βγ systems on quadric cones
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Date
2008-08-01
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Undergraduate course
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Int School Advanced Studies
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Article
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Abstract
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.
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Language
English
Citation
Journal of High Energy Physics, v. 2008, n. 8, 2008.
