Pure Spinor Partition Function and the Massive Superstring Spectrum

Details Pure Spinor Partition Function and the Massive Superstring Spectrum Pure Spinor Partition Function and the Massive Superstring Spectrum

2008-06-03

arxiv.org/abs/0806.0584v1

Physics

High Energy Physics

High Energy Physics - Theory

81 pages

Scientific paper

10.1088/1126-6708/2008/08/050

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.

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