Otro
Pure spinor partition function and the massive superstring spectrum
Registro en:
Journal of High Energy Physics. Trieste: Int School Advanced Studies, n. 8, p. 72, 2008.
1126-6708
10.1088/1126-6708/2008/08/050
WOS:000258917400059
WOS000258917400059.pdf
Autor
Aisaka, Yuri
Arroyo, E. Aldo
Berkovits, Nathan
Resumen
We explicitly compute up to the fifth mass-level the partition function of ten-dimensional pure spinor worldsheet variables including the spin dependence. After adding the contribution from the (x(mu), theta(alpha), p(alpha)) matter variables, we reproduce the massive superstring spectrum.Even though pure spinor variables are bosonic, the pure spinor partition function contains fermionic states which first appear at the second mass-level. These fermionic states come from functions which are not globally defined in pure spinor space, and are related to the b ghost in the pure spinor formalism. This result clarifies the proper definition of the Hilbert space for pure spinor variables. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)