Kavli Affiliate: Jeffrey A. Harvey
| First 5 Authors: Zihni Kaan Baykara, Jeffrey A. Harvey, , ,
| Summary:
We extend the investigation of special toroidal compactifications of
heterotic string theory for which the half-BPS states provide representations
of subgroups of the Conway group. We also explore dual descriptions of these
theories and find that they are all linked to either F-theory or type IIA
string theory on K3 surfaces with symplectic automorphism groups that are the
same Conway subgroups as those of the heterotic dual. The matching with type
IIA K3 dual theories includes both the matching of symmetry groups and a
comparison between the Narain lattice on the heterotic side and the cohomology
lattice on the type IIA side. We present twelve examples where we can identify
a type IIA dual K3 orbifold theory as the dual description of the heterotic
theory. In addition, we include a Mathematica package that performs most of the
computations required for these comparisons.
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