Duality in N=1, D=10 Superspace and Supergravity with Tree Level Superstring Corrections

TL;DR

This paper explores the duality between two formulations of N=1, D=10 supergravity, demonstrating their equivalence at the equations of motion level and constructing a dual Lagrangian with superstring corrections.

Contribution

It establishes the formal equivalence of usual and dual supergravities at the equations of motion level and constructs a dual Lagrangian including anomaly corrections.

Findings

Dual supergravity is formally equivalent to the usual formulation.

A simple dual formulation of supergravity is developed.

The bosonic Lagrangian with superstring corrections is constructed.

Abstract

The equations of motion (e.m.'s) of the N=1, D=10 anomaly free supergravity, obtained in the framework of the superspace approach, are analyzed. The formal equivalence of the usual and dual supergravities is discussed at the level of e.m.'s. The great simplicity of the dual formulation is established. The possibillity of the lagrangian formulation of the dual supergravity is pointed out. The bosonic part of the lagrangian is constructed including anomaly compensating superstring corrections.