Dual Supergravity in D=10, N=1 Superspace with Tree-Level Superstring Corrections

TL;DR

This paper develops a dual formulation of D=10, N=1 supergravity in superspace, incorporating tree-level superstring corrections through a 3-form superfield, and provides explicit solutions for these corrections.

Contribution

It introduces a complete set of dynamical equations for the superstring correction superfield in dual supergravity and offers explicit polynomial solutions in terms of curvature and graviphoton superfields.

Findings

Explicit polynomial solutions for the superstring correction superfield.

Incorporation of superstring corrections into dual supergravity in closed form.

Enhanced understanding of anomaly compensating mechanisms in superspace.

Abstract

The dual version of the D=10 N=1 supergravity (SUGRA) is considered in the superspace approach. The superstring (anomaly compensating) corrections are described by the 3-form superfield $A_{abc}$ . The complete set of dynamical equations for the $A$-field and for physical fields of the theory are presented. The solution of the $A$-field equations as a finite order polynomial in terms of curvature and graviphoton superfields is given. It makes possible to incorporate some of the superstring corrections in the dual supergravity in the explicit, supersymmetric and closed form.