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

Autor: Aisaka, Yuri, Arroyo, E. Aldo
Rok vydání: 2008
Předmět:
Zdroj: JHEP 0808:052,2008
Druh dokumentu: Working Paper
DOI: 10.1088/1126-6708/2008/08/052
Popis: 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.
Comment: 45 pages
Databáze: arXiv