D=4, N=2 Supergravity: An Unconventional Application

TL;DR

This paper explores a novel connection between four-dimensional N=2 supergravity and a three-dimensional model with unconventional supersymmetry, aiming to describe electronic properties of graphene-like materials.

Contribution

It introduces a top-down approach linking supergravity to condensed matter models via an unconventional boundary supersymmetry realization.

Findings

Establishes a correspondence between supergravity and graphene-like electronic models.

Demonstrates a special asymptotic limit with non-trivial boundary behavior.

Proposes a new boundary realization of supersymmetry in lower dimensions.

Abstract

I will report on a top-down approach relating N=2, D=4 pure supergravity with non-trivial boundary behavior to a (2+1)-dimensional analog model which is able to describe the electronic properties of graphene-like materials. This is obtained, in a special asymptotic limit, by imposing an unconventional realization of supersymmetry in the D=3 boundary model.