Aisaka, Yuri [UNESP]Arroyo, E. Aldo [UNESP]2014-05-272014-05-272008-08-01Journal of High Energy Physics, v. 2008, n. 8, 2008.1126-67081029-8479http://hdl.handle.net/11449/130527We 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.40engBRST symmetryConformal field models in string theoryArtigo10.1088/1126-6708/2008/08/052WOS:000258917400057Acesso restrito2-s2.0-54749117712