Covariant Quantization of the Superstring

Details Covariant Quantization of the Superstring Covariant Quantization of the Superstring

2000-08-17

arxiv.org/abs/hep-th/0008145v2

Nucl.Phys.Proc.Suppl. 127 (2004) 23-29; Int.J.Mod.Phys. A16 (2001) 801-811

Physics

High Energy Physics

High Energy Physics - Theory

Corrected reference. Talk at Fradkin Conference and Strings 2000

Scientific paper

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless vertex operators are constructed and, for the first time, N-point tree amplitudes are computed in a manifestly ten-dimensional super-Poincar\'e covariant manner. Quantization can be generalized to curved supergravity backgrounds and the vertex operator for fluctuations around $AdS_5\times S^5$ is explicitly constructed. This review is written in a self-contained manner and is based on talks given at the Fradkin Memorial Conference and Strings 2000.

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