Compactification of $M$-Theory to Two Dimensions

TL;DR

This paper explores specific compactifications of M-theory to two dimensions, constructing anomaly-free models with supersymmetry and confirming previous twisted sector spectrum predictions.

Contribution

It introduces new two-dimensional M-theory compactifications on specific orientifolds, demonstrating anomaly cancellation and spectrum consistency at enhanced symmetry points.

Findings

Constructed anomaly-free 2D supergravity models

Confirmed twisted sector spectrum contributions

Provided explicit spectra at symmetry points

Abstract

Compactifications of M-theory to two dimensional space-time on ${(K3\times \T^5)}/ \Z_2$ and ${(K3\times K3\times \S^1)}/ \Z_2$ orientifolds are presented. These orientifolds provide examples of anomaly free chiral supergravity models in two dimensions with (8, 0) and (4, 0) supersymmetries. Anomaly free spectra at the enhanced symmetry points are also obtained. The results confirm the twisted sector contribution to the spectrum in the case of $\T^9/ \Z_2$ discussed earlier.