The Rank four Heterotic Modular Invariant Partition Functions

T. Gannon; Q. Ho-Kim

doi:10.1016/0550-3213(94)90183-X

paper

The Rank four Heterotic Modular Invariant Partition Functions

arXiv:hep-th/9402027 · doi:10.1016/0550-3213(94)90183-X

Abstract

In this paper, we develop several general techniques to investigate modular invariants of conformal field theories whose algebras of the holomorphic and anti-holomorphic sectors are different. As an application, we find all such ``heterotic'' WZNW physical invariants of (horizontal) rank four: there are exactly seven of these, two of which seem to be new. Previously, only those of rank $\leq 3$ have been completely classified. We also find all physical modular invariants for $s u (2)_{k_{1}} \times s u (2)_{k_{2}}$ , for $22 > k_{1} > k_{2}$ , and $k_{1} = 28$ , $k_{2} < 22$ , completing the classification of ref.{} \SUSU.

25 pp., plain tex