On a supersymmetric completion of the $R^4$ term in type IIB supergravity

TL;DR

This paper investigates the supersymmetric completion of the $R^4$ term in type IIB supergravity, identifying partial constructions via superfield methods and presenting a subset of the complete action involving curvature and five-form fields.

Contribution

It demonstrates the partial supersymmetric completion of the $R^4$ term using superfield techniques and provides explicit forms of the relevant action components.

Findings

Partial supersymmetric $R^4$ action constructed

Superfield methods reveal obstructions to full action

Explicit form of curvature and five-form field terms obtained

Abstract

We examine the question of the supersymmetric completion of the $R^4$ term in type IIB supergravity by using superfield methods. We show that while there is an obstruction to constructing the full action, a subset of the terms in the action can be consistently analyzed independent of the other terms, and these can be obtained from the superfield. We find the complete type IIB action involving the curvature and five-form field strengths.