General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory

Abstract

We evaluate all split helicity gluon tree amplitudes in open twistor string theory. We show that these amplitudes satisfy the BCFW recurrence relations restricted to the split helicity case and, hence, that these amplitudes agree with those of gauge theory. To do this we make a particular choice of the sextic constraints in the link variables that determine the poles contributing to the contour integral expression for the amplitudes. Using the residue theorem to re-express this integral in terms of contributions from poles at rational values of the link variables, which we determine, we evaluate the amplitudes explicitly, regaining the gauge theory results of Britto et al.

30 pages, minor misprints corrected

References in corpus (8)

• A Duality For The S Matrix
• The Grassmannian Origin Of Dual Superconformal Invariance
• All tree-level amplitudes in N=4 SYM
• Unification of Residues and Grassmannian Dualities
• Current Algebra on the Torus
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Cited by in corpus (9)

• Scattering Amplitudes and Wilson Loops in Twistor Space
• Gravity in Twistor Space and its Grassmannian Formulation
• The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM
• A Direct Proof of BCFW Recursion for Twistor-Strings
• A Link Representation for Gravity Amplitudes
• Yangian in the Twistor String
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter