Coset Construction of Noncompact Spin(7) and G_2 CFTs

Katsuyuki Sugiyama; Satoshi Yamaguchi

Coset Construction of Noncompact Spin(7) and G_2 CFTs

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arxiv hep-th/0204213 v2 pith:WAK7C52X submitted 2002-04-25 hep-th

Katsuyuki Sugiyama , Satoshi Yamaguchi This is my paper · ORCID

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keywords theoriesconstructcosetfieldmanifoldsmodelscftschiral

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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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For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

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