Yangian in the Twistor String

Abstract

We study symmetries of the quantized open twistor string. In addition to global PSL(4|4) symmetry, we find non-local conserved currents. The associated non-local charges lead to Ward identities which show that these charges annihilate the string gluon tree amplitudes, and have the same form as symmetries of amplitudes in N=4 super conformal Yang Mills theory. We describe how states of the open twistor string form a realization of the PSL(4|4) Yangian superalgebra.

37 pages, 4 figures

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Cited by in corpus (6)

• Scattering Amplitudes and Wilson Loops in Twistor Space
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• Conformal higher-spin symmetries in twistor string theory
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Yangian Superalgebras in Conformal Field Theory