Supersymmetric Heterotic Action out of M5 Brane

TL;DR

This paper derives a supersymmetric heterotic string action in 10D by reducing the M5 brane on K3 and verifies its kappa-symmetry, contributing a new formulation of heterotic string theory.

Contribution

It presents a novel supersymmetric heterotic string action in 10D, based on double dimensional reduction of M5 brane on K3, with explicit kappa-symmetry verification.

Findings

Derived heterotic string action in 7D from M5 brane reduction

Proposed a supersymmetric heterotic action in 10D with a new current algebra realization

Verified the kappa-symmetry of the proposed 10D heterotic action

Abstract

Generalizing the work by Cherkis and Schwarz [1], we carry out the double dimensional reduction of supersymmetric M5 brane on K3 to obtain the supersymmetric action of heterotic string in 7-dimensional flat space-time. Motivated by this result, we propose the supersymmetric heterotic action in 10-dimensional flat space-time where the current algebra is realized in a novel way. We explicitly verify the kappa-symmetry of the proposed action.