Chiral Superstring and CHY Amplitude

Understand

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.