Relating the RNS and Pure Spinor Formalisms for the Superstring

Details Relating the RNS and Pure Spinor Formalisms for the Superstring Relating the RNS and Pure Spinor Formalisms for the Superstring

2001-04-27

arxiv.org/abs/hep-th/0104247v1

JHEP 0108 (2001) 026

Physics

High Energy Physics

High Energy Physics - Theory

26 pages harvmac tex

Scientific paper

10.1088/1126-6708/2001/08/026

Recently, the superstring was covariantly quantized using the BRST-like operator $Q = \oint \lambda^\alpha d_\alpha$ where $\lambda^\alpha$ is a pure spinor and $d_\alpha$ 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 $\eta_0$ 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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