Untwisting the pure spinor formalism to the RNS and twistor string in a flat and AdS5 × S 5 background
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 Θ α together with a superfield constraint relating DX m and DΘ α . The constraint implies that the worldsheet superpartner of θ α 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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- June 2016
- DOI:
- 10.1007/JHEP06(2016)127
- arXiv:
- arXiv:1604.04617
- Bibcode:
- 2016JHEP...06..127B
- Keywords:
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- Superstrings and Heterotic Strings;
- AdS-CFT Correspondence;
- Topological Strings;
- High Energy Physics - Theory
- E-Print:
- 30 pages. Corrected typos, added 2 footnotes, and dedicated paper to Mario Tonin