Meromorphicc=24 conformal field theories
Copyright policy )Meromorphicc=24 conformal field theories
Modular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic $c=24$ theories, including the 41 that were already known.
38 pages, CERN-TH.6478/92
- European Organization for Nuclear Research Switzerland
High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, classification of conformal field theories, FOS: Physical sciences, 11F22, chiral algebra, 17B67, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Riemann surfaces, High Energy Physics - Theory (hep-th), 81T40, 81R10, Kac-Moody algebras, Vertex operators; vertex operator algebras and related structures
High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, classification of conformal field theories, FOS: Physical sciences, 11F22, chiral algebra, 17B67, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Riemann surfaces, High Energy Physics - Theory (hep-th), 81T40, 81R10, Kac-Moody algebras, Vertex operators; vertex operator algebras and related structures
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