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arXiv · hep-th/0104247

Relating the RNS and Pure Spinor Formalisms for the Superstring

Nathan Berkovits
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Abstract

Recently, the superstring was covariantly quantized using the BRST-like operator $Q = \oint λ^αd_α$ where $λ^α$ is a pure spinor and $d_α$ are the fermionic Green-Schwarz constraints. By performing a field redefinition and a similarity transformation, this BRST-like operator is mapped to the sum of the Ramond-Neveu-Schwarz BRST operator and $η_0$ ghost. This map is then used to relate physical vertex operators and tree amplitudes in the two formalisms. Furthermore, the map implies the existence of a $b$ ghost in the pure spinor formalism which might be useful for loop amplitude computations.

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Nathan Berkovits. 2001-04-27. Relating the RNS and Pure Spinor Formalisms for the Superstring. https://doi.org/10.1088/1126-6708%2F2001%2F08%2F026

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