The Rank four Heterotic Modular Invariant Partition Functions

Details The Rank four Heterotic Modular Invariant Partition Functions The Rank four Heterotic Modular Invariant Partition Functions

1994-02-04

arxiv.org/abs/hep-th/9402027v1

Nucl.Phys. B425 (1994) 319-342

Physics

High Energy Physics

High Energy Physics - Theory

25 pp., plain tex

Scientific paper

10.1016/0550-3213(94)90183-X

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 $\le 3$ have been completely classified. We also find all physical modular invariants for $su(2)_{k_1}\times su(2)_{k_2}$, for $22>k_1>k_2$, and $k_1=28$, $k_2<22$, completing the classification of ref.{} \SUSU.

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