Chiral Superstring and CHY Amplitude

Abstract

We calculate the chiral string amplitude in pure spinor formalism and take four point amplitude as an example. The method could be easily generalized to $N$ point amplitude by complicated calculations. By doing the usual calculations of string theory first and using a special singular gauge limit, we produce the amplitude with the integral over Dirac $\delta$-functions. The Bosonic part of the amplitude matches the CHY amplitude and the Fermionic part gives us the supersymmetric generalization of CHY amplitude. Finally, we also check the dependence on boundary condition for heterotic chiral string amplitudes.

15 pages

References in corpus (10)

• Super-Poincare Covariant Quantization of the Superstring
• Scattering of Massless Particles in Arbitrary Dimension
• Ambitwistor strings and the scattering equations at one loop
• Doubled α'-Geometry
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• Factorization of Chiral String Amplitudes
• Scattering Equations and String Theory Amplitudes
• Amplitudes for left-handed strings
• Chiral Closed strings: Four massless states scattering amplitude
• A Superstring Field Theory for Supergravity

Cited by in corpus (5)

• Scattering Amplitudes from Intersection Theory
• A String Theory Which Isn't About Strings
• A Superstring Field Theory for Supergravity
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• Permutation in the CHY-Formulation