Covariant Map Between Ramond-Neveu-Schwarz and Pure Spinor Formalisms for the Superstring

2013/12/03 by Nathan Berkovits · 1 voice
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep04(2014)024

Added reference

arxiv published 2013/12/03 · arxiv created 2014/01/25 · arxiv updated 2014/01/25

Abstract

A covariant map between the Ramond-Neveu-Schwarz (RNS) and pure spinor formalisms for the superstring is found which transforms the RNS and pure spinor BRST operators into each other. The key ingredient is a dynamical twisting of the ten spin-half RNS fermions into five spin-one and five spin-zero fermions using bosonic pure spinors that parameterize an SO(10)/U(5) coset. The map relates massless vertex operators in the two formalisms, and gives a new description of Ramond states which does not require spin fields. An argument is proposed for relating the amplitude prescriptions in the two formalisms.

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