Multiloop Amplitudes of Light-cone Gauge Superstring Field Theory: Odd Spin Structure Contributions

TL;DR

This paper investigates odd spin structure contributions to multiloop superstring amplitudes in light-cone gauge, demonstrating their equivalence to conformal gauge results with specific vertex operator pictures and regularizing contact term divergences.

Contribution

It establishes the equivalence of odd spin structure amplitudes in light-cone gauge with conformal gauge results, including regularization of divergences, aligning with first-quantized approaches.

Findings

Odd spin structure amplitudes match conformal gauge results.

Contact term divergences can be regularized similarly to even structures.

Results agree with first-quantized superstring amplitude calculations.

Abstract

We study the odd spin structure contributions to the multiloop amplitudes of light-cone gauge superstring field theory. We show that they coincide with the amplitudes in the conformal gauge with two of the vertex operators chosen to be in the pictures different from the standard choice, namely (-1,-1) picture in the type II case and -1 picture in the heterotic case. We also show that the contact term divergences can be regularized in the same way as in the amplitudes for the even structures and we get the amplitudes which coincide with those obtained from the first-quantized approach.