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Coset Construction of Noncompact Spin(7) and G_2 CFTs

· 2002 · hep-th · arXiv hep-th/0204213

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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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$\mathcal{SW}$-algebras and strings with torsion

hep-th · 2024-12-18 · conditional · novelty 6.0

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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  • $\mathcal{SW}$-algebras and strings with torsion hep-th · 2024-12-18 · conditional · none · ref 48 · internal anchor

    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.