Conformal higher-spin symmetries in twistor string theory

TL;DR

The paper explores the infinite-dimensional conformal higher-spin symmetries in twistor string theory, showing how these symmetries break down to finite-dimensional superalgebras upon quantization.

Contribution

It identifies the superalgebra structure of symmetries in twistor string theory and describes their reduction from infinite to finite dimensions in quantum theory.

Findings

Classical symmetry is infinite-dimensional.

Quantum symmetry reduces to finite-dimensional superalgebra.

Superalgebra contains psl(4|4,R) as a subalgebra.

Abstract

It is shown that similarly to massless superparticle, classical global symmetry of the Berkovits twistor string action is infinite-dimensional. We identify its superalgebra, whose finite-dimensional subalgebra contains $psl(4|4,\mathbb R)$ superalgebra. In quantum theory this infinite-dimensional symmetry breaks down to $SL(4|4,\mathbb R)$ one.