The $\hat{G}^{4}\lambda^{16}$ Term in IIB Supergravity

TL;DR

This paper investigates the supersymmetry constraints on a specific higher-derivative term in type IIB superstring theory to determine its dependence on the scalar field, confirming consistency with known duality conjectures.

Contribution

It provides a detailed analysis of the supersymmetry constraints on the $ abla^4 ar{ abla}^{16}$ term, elucidating its scalar field dependence and confirming $SL(2,{ m Z})$ invariance.

Findings

Derived the scalar dependence of the $ abla^4 ar{ abla}^{16}$ term's coefficient.

Confirmed consistency with $SL(2,{ m Z})$ invariance conjectures.

Enhanced understanding of higher-derivative corrections in type IIB supergravity.

Abstract

The supersymmetry constraints on the $\hat{G}^{4}\lamda^{16}$ term in the effective action of type IIB superstring theory are studied in order to determine the dependence of its coefficient on the complex scalar field, $\tau$. The resulting expression is consistent with the $SL(2,{\Bbb Z})$ invariant conjectures in the literature.