Hilbert space of curved \beta\gamma systems on quadric cones
High Energy Physics - Theory
2014-10-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0806.0586,
title = {Hilbert space of curved \beta\gamma systems on quadric cones},
author = {Yuri Aisaka and E. Aldo Arroyo},
journal= {arXiv preprint arXiv:0806.0586},
year = {2014}
}
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45 pages