SO(9) supergravity in two dimensions

TL;DR

This paper constructs a maximal supergravity theory in two dimensions with gauge group SO(9), providing explicit fermionic and scalar potential expressions, and links it to D0-brane near-horizon geometries and matrix quantum mechanics.

Contribution

It introduces a new two-dimensional supergravity model with SO(9) gauge symmetry, including detailed fermionic and scalar sector formulations, and connects it to string theory backgrounds.

Findings

Provides explicit Lagrangian and fermionic sector expressions.

Supports a half-supersymmetric domain wall solution.

Links the theory to D0-brane near-horizon geometry and matrix models.

Abstract

We present maximal supergravity in two dimensions with gauge group SO(9). The construction is based on selecting the proper embedding of the gauge group into the infinite-dimensional symmetry group of the ungauged theory. The bosonic part of the Lagrangian is given by a (dilaton-)gravity coupled non-linear gauged sigma-model with Wess-Zumino term. We give explicit expressions for the fermionic sector, the Yukawa couplings and the scalar potential which supports a half-supersymmetric domain wall solution. The theory is expected to describe the low-energy effective action upon reduction on the D0-brane near-horizon warped AdS_2 x S^8 geometry, dual to the supersymmetric (BFSS) matrix quantum mechanics.