N=2 Quantum String Scattering

Abstract

We calculate the genus-one three- and four-point amplitudes in the 2+2 dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity techniques, and the quantum scattering is shown to be manifestly gauge and Lorentz invariant after normalizing the string states. The continuous spin structure summation over the monodromies of the worldsheet fermions is carried out explicitly, and the field-theory limit is extracted. The amplitude in this limit is shown to be the maximally helicity violating amplitude in pure gravity evaluated in a two-dimensional setting, which vanishes, unlike the four-dimensional result. The vanishing of the genus-one N=2 closed string amplitude is related to the absence of one-loop divergences in dimensionally regulated IIB supergravity. Comparisons and contrasts between self-dual field theory and the N=2 string theory are made at the quantum level; they have different S-matrices. Finally, we point to further relations with self-dual field theory and two-dimensional models.

42 pages, 4 eps figures. v2: minor corrections, 2 refs. added, version to appear in Nucl. Phys. B

References in corpus (11)

• Multi-Parton Amplitudes in Gauge Theories
• One-Loop Self-Dual and N=4 Super Yang-Mills
• One-Loop n-Point Helicity Amplitudes in (Self-Dual) Gravity
• Simplifying Algebra in Feynman Graphs, Part II: Spinor Helicity from the Spacecone
• Simplifying Algebra in Feynman Graphs, Part I:Spinors
• M-branes and N=2 Strings
• N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills
• Mathematics and Physics of N=2 Strings
• Ward identities and the vanishing theorem for loop amplitudes of the closed N=2 string
• Large N Field Theory of N=2 Strings and Self-Dual Gravity
• Momumentum Analyticity and Finiteness of Compactified String Amplitudes, Part I: Tori

Cited by in corpus (6)

• Open N=2 strings in a B-field background and noncommutative self-dual Yang-Mills
• Global conformal anomaly in N=2 string
• Restoring Lorentz Invariance in Classical N=2 String
• The Effective Action and Geometry of Closed N=2 Strings
• The geometry of N=4 twisted string
• A Heterotic N=2 String with Space-Time Supersymmetry