2D supergravity in p+1 dimensions

TL;DR

This paper introduces new N-extended 2D supergravity theories on (p+1)-dimensional spaces using moving frame densities within a superspace framework, with potential applications to D-brane physics.

Contribution

It develops a novel formalism for supergravity in higher-dimensional spaces with moving frames, extending 2D supergravity concepts to (p+1) dimensions.

Findings

Constructs new supergravity models with moving frame densities.

Recovers 2D supergravity in a special case p=1.

Provides a framework applicable to D-brane strong coupling regimes.

Abstract

We describe new $N$-extended 2D supergravities on a $(p+1)$-dimensional (bosonic) space. The fundamental objects are moving frame densities that equip each $(p+1)$-dimensional point with a 2D ``tangent space''. The theory is presented in a $[p+1, 2]$ superspace. For the special case of $p=1$ we recover the 2D supergravities in an unusual form. The formalism has been developed with applications to the string-parton picture of $D$-branes at strong coupling in mind.