Fermionic extension of the scalar Born-Infeld equation and its relation to the supersymmetric Chaplygin gas

TL;DR

This paper introduces a fermionic extension of the scalar Born-Infeld equation derived from superstring theory, showing its reduction to a supersymmetric Chaplygin gas model in the non-relativistic limit, though without preserving supersymmetry.

Contribution

It presents a novel fermionic extension of the Born-Infeld equation from superstring theory and explores its relation to the supersymmetric Chaplygin gas.

Findings

Fermionic Born-Infeld reduces to supersymmetric Chaplygin gas as c → ∞

Supersymmetry is not preserved in the reduction

Derived from (2+1)D superstring action

Abstract

In this article, we present a fermionic extension of the scalar Born-Infeld equation, which has been derived from the Nambu-Goto superstring action in (2+1) dimensions through the Cartesian parameterization. It is demonstrated that in the relativistic limit where c \to \infty, the fermionic Born-Infeld model reduces to the supersymmetric Chaplygin gas model in one spatial dimension. However, the supersymmetry itself is not preserved.