M-Theory on Orientifolds of $K_3 \times S^1$

TL;DR

This paper explores various orientifold constructions of M-Theory on K3×S^1, resulting in anomaly-free six-dimensional models with different numbers of vector multiplets and N=1 supersymmetry.

Contribution

It introduces new orientifold models of M-Theory on K3×S^1 using automorphism group projections, expanding the landscape of anomaly-free six-dimensional theories.

Findings

Constructed explicit models with 8, 4, 2, and 1 vector multiplets.

Demonstrated anomaly cancellation in these models.

Provided interpretations as N=1 supersymmetric theories in six dimensions.

Abstract

We present several Orientifolds of M-Theory on $K_3\times S^1$ by additional projections with respect to the finite abelian automorphism groups of $K_3$. The resulting models correspond to anomaly free theories in six dimensions. We construct explicit examples which can be interpreted as models with eight, four, two and one vector multiplets and $N=1$ supersymmetry in six dimensions.