1995/09/30 by Per Berglund, Clifford V. Johnson, Shamit Kachru +1 · 36 citations
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal symmetry #Coset #Gauge theory #Heterotic string theory #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Minimal models #Partition function (quantum field theory) #Supersymmetry #Supersymmetry algebra #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00641-9
published in Nuclear Physics B 460(2), 252-298 (Elsevier BV) · 53 pages, harvmac (Corrections made to spectra of E_6 examples. Other minor changes.)
arxiv created 1995/10/11 · openalex publication_date 1996/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A Lagrangian definition of a large family of (0,2) supersymmetric conformal field theories may be made by an appropriate gauge invariant combination of a gauged Wess-Zumino-Witten model, right-moving supersymmetry fermions, and left-moving current algebra fermions. Throughout this paper, use is made of the interplay between field theoretic and algebraic techniques (together with supersymmetry) which is facilitated by such a definition. These heterotic coset models are thus studied in some detail, with particular attention paid to the (0,2) analogue of the N=2 minimal models, which coincide with the `monopole' theory of Giddings, Polchinski and Strominger. A family of modular invariant partition functions for these (0,2) minimal models is presented. Some examples of N=1 supersymmetric four dimensional string theories with gauge groups E6 X G and SO(10) X G are presented, using these minimal models as building blocks. The factor G represents various enhanced symmetry groups made up of products of SU(2) and U(1).