1993/07/29 by Maximilian Kreuzer, M. Kreuzer, Harald Skarke +1 · 11 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computation #Diagonal #Embedding #Geometric and Algebraic Topology #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Simple (philosophy) #String (physics) #Tensor (intrinsic definition) #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1016/0370-2693(93)90133-3
published in Physics Letters B 318(2), 305-314 (Elsevier BV) · 13 pages (LaTeX), preprint CERN-TH.6931/93 and ITP-UH-20/93 (reference added)
arxiv created 1993/07/29 · openalex publication_date 1993/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We complete the classification of (2,2) string vacua that can be constructed by diagonal twists of tensor products of minimal models with ADE invariants. Using the \LG framework, we compute all spectra from inequivalent models of this type. The completeness of our results is only possible by systematically avoiding the huge redundancies coming from permutation symmetries of tensor products. We recover the results for (2,2) vacua of an extensive computation of simple current invariants by Schellekens and Yankielowitz, and find 4 additional mirror pairs of spectra that were missed by their stochastic method. For the model (1)9 we observe a relation between redundant spectra and groups that are related in a particular way.