The M2-brane Solution of Heterotic M-theory with the Gauss-Bonnet R^2 terms

TL;DR

This paper derives an M2-brane solution in heterotic M-theory incorporating Gauss-Bonnet R^2 terms, revealing corrections dependent on the orbifold coordinate similar to gauge 5-brane solutions.

Contribution

It provides the first explicit derivation of an M2-brane solution with R^2 Gauss-Bonnet corrections in heterotic M-theory.

Findings

Derived equations of motion with source terms from Gauss-Bonnet terms.

Found the M2-brane solution up to order rac{2}{3}.

Identified correction dependence on the orbifold coordinate.

Abstract

We consider the effective action of M-theory compactified on a S^1/Z_2 orbifold with R^2 interaction in the Gauss-Bonnet combination. We derive equations of motion with source terms arising from the Gauss-Bonnet terms and find the M2-brane solution up to order \kappa^{2/3}. It receives a correction which depends on the orbifold coordinate in the same form as the gauge 5-brane solution.