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Hilbert space of curved \beta\gamma systems on quadric cones · Around

2008

Hilbert space of curved \beta\gamma systems on quadric cones

Aisaka, Yuri, Arroyo, E. Aldo

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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.

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Then

N. Berkovits, JHEP 0510
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Later among the works it cites.
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2006
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