Non-Perturbative Superpotentials from Membrane Instantons in Heterotic M-Theory
Eduardo Lima, Burt Ovrut, Jaemo Park, Ren\'e Reinbacher
TL;DR
This paper develops a formalism to compute non-perturbative superpotentials from membrane instantons in heterotic M-theory, focusing on moduli stabilization and boundary gauge bundle effects.
Contribution
It introduces a new formalism for calculating open supermembrane contributions to superpotentials in heterotic M-theory, including a topological criterion for non-vanishing results.
Findings
Explicit calculation of superpotentials for Calabi-Yau (1,1)-moduli
Analysis of boundary gauge bundle effects on superpotential
Topological criterion for non-vanishing superpotentials
Abstract
A formalism for calculating the open supermembrane contribution to the non-perturbative superpotential of moduli in heterotic M-theory is presented. This is explicitly applied to the Calabi-Yau (1,1)-moduli and the separation modulus of the end-of-the-world BPS three-branes, whose non-perturbative superpotential is computed. The role of gauge bundles on the boundaries of the open supermembranes is discussed in detail, and a topological criterion presented for the associated superpotential to be non-vanishing.
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