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Coset construction of noncompact Spin(7) and G2 CFTs

2002/04/30 by Katsuyuki Sugiyama, Satoshi Yamaguchi · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Compactification (mathematics) #Computer science #Conformal field theory #Conformal map #Coset #Discrete mathematics #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Modular design #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Spacetime #String theory #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(02)01965-2

published as Phys.Lett.B538:173-179,2002 · 10 pages, LaTeX, no figure. v2: typos corrected, references added

arxiv created 2002/05/13 · openalex publication_date 2002/06/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We provide a new class of exactly solvable superconformal field theories that corresponds to type II compactification on manifolds with exceptional holonomies. We combine N=1 Liouville field and N=1 coset models and construct modular invariant partition functions of strings moving on these manifolds. The resulting theories preserve spacetime supersymmetry. Also we explicitly construct chiral currents in these models to realize consistent string theories.

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