Twistor strings for $$ \mathcal{N} $$ = 8 supergravity
David B. Skinner
Abstract
A bstract This paper presents a worldsheet theory describing holomorphic maps to twistor space with $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> fermionic directions. The theory is anomaly free when $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 8. Via the Penrose transform, the vertex operators correspond to an $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 8 Einstein supergravity multiplet. In the first instance, the theory describes gauged supergravity in AdS4. Upon taking the flat space, ungauged limit, the complete classical S-matrix is recovered from worldsheet correlation functions.