Ten-dimensional lifts of global supersymmetry on curved spaces

TL;DR

This paper demonstrates how to lift certain four-dimensional supersymmetric solutions with limited supercharges to ten-dimensional type IIB supergravity, linking curved space backgrounds to higher-dimensional theories.

Contribution

It provides a method to extend 4D supersymmetric backgrounds with up to four supercharges to ten-dimensional solutions using type IIB supergravity and D-brane kappa-symmetry.

Findings

Extended several 4D supersymmetric solutions to 10D supergravity.

Connected 4D Killing spinor equations with 10D supersymmetry constraints.

Established a framework for analyzing curved space supersymmetry in higher dimensions.

Abstract

Admissible curved space backgrounds for four-dimensional supersymmetric field theories are determined by solving Killing spinor equations of four-dimensional off-shell supergravities. These can be obtained by combining ten-dimensional type IIB supersymmetry with D-brane kappa-symmetry and identifying auxiliary fields of the four-dimensional supergravity fields in terms of type IIB fields. In this paper we show how to extend a number of solutions of four-dimensional Killing spinor equations with four or less supercharges to solutions of the ten-dimensional supersymmetry constraints.