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Untwisting the pure spinor formalism to the RNS and twistor string in a flat and AdS(5) x S-5 background

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Author(s):
Berkovits, Nathan
Total Authors: 1
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 6, p. 26-pg., 2016-06-21.
Abstract

The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators j(BRsT) and composite b ghost. After untwisting the formalism to an N=1 worldsheet theory with fermionic stress tensor j(BRsT) + b, the worldsheet variables combine into N=1 worldsheet superfields X-m and Theta(alpha) together with a superfield constraint relating DXm and D Theta(alpha). The constraint implies that the worldsheet superpartner of theta(alpha) is a bosonic twistor variable, and different solutions of the constraint give rise to the pure spinor or extended RNS formalisms, as well as a new twistor-string formalism with manifest N=1 worldsheet supersymmetry. These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds, and a manifestly N=1 worldsheet supersymmetric action is proposed for the superstring in an AdS(5) x S-5 background in terms of the twistor superfields. This AdS(5) x S-5 worldsheet action is a remarkably simple fermionic coset model with manifest PSU(2, 2 vertical bar 4) symmetry and might be useful for computing AdS(5) x S-5 superstring scattering amplitudes. (AU)

FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support Opportunities: Research Projects - Thematic Grants