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.

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

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Cited by in corpus (4)

• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• General light-cone gauge approach to conformal fields and applications to scalar and vector fields
• Worldsheet Free Fields, Higher Spin Symmetry and Free $\mathcal{N}=4$ Super Yang-Mills