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arXiv · 0806.0584

Pure Spinor Partition Function and the Massive Superstring Spectrum

Yuri Aisaka·E. Aldo Arroyo·Nathan Berkovits·Nikita Nekrasov
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Abstract

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^μ, θ^α, p_α) 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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Yuri Aisaka, E. Aldo Arroyo, Nathan Berkovits, Nikita Nekrasov. 2008-06-03. Pure Spinor Partition Function and the Massive Superstring Spectrum. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F050

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