Superspace Type II 4D Supergravity from Type II Superstring

TL;DR

This paper derives the equations of motion for 4D type II supergravity in superspace by coupling a superstring to a curved background and enforcing superconformal invariance, revealing a coupled hypertensorial and vectorial multiplet system.

Contribution

It introduces a novel derivation of 4D type II supergravity equations from superstring theory using superspace and superconformal invariance principles.

Findings

No anomalies in fermionic OPEs.

Complete set of equations from energy-momentum tensor.

Coupling to U(1)×U(1) N=2 Poincaré supergravity.

Abstract

We derive the equations of motion of type II 4D supergravity in superspace. This is achieved by coupling the Type II Berkovits' hybrid superstring to an N=2 curved background and requiring that the sigma-model has N=(2,2) superconformal invariance at one loop. We show that there are no anomalies in the fermionic OPE's and the complete set of compensator's equations is derived from the energy-momentum tensor. The equations of motion describe a hypertensorial and vectorial multiplet coupled to a U(1)\times U(1) N=2 Poincar\`e Supergravity.