Conformal higher-spin symmetries in twistor string theory

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.Comment: 20 pages, LaTeX. v2: section 3 undergone major revision, others - minor improvements including correction of typos. Version accepted to Nuclear Physics