A construction of the \(c<1\) modular invariant partition functions

DOI10.1007/BF01218579zbMath0661.17019MaRDI QIDQ1112949

Daniel Altschuler, Eliezer Rabinovici, Korkut Bardakci

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

decompositioncentral chargeVirasoro algebratwo-dimensional conformal field theoriesaffine O(4N) algebraexceptional typesfour spin representationslevel one highest weight representationsModular invariant partition functions

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (10)

Irrational conformal field theory ⋮ D-branes and extended characters in \(\text{SL}(2,\mathbb R)/\text{U}(1)\) ⋮ Direct approach to operator conformal constructions: From fermions to primary fields ⋮ Removing singularities ⋮ The branching rules of conformal embeddings ⋮ On the dynamical generation of the Maxwell term and scale invariance ⋮ String theory and black holes ⋮ On holomorphic factorization of WZW and coset models ⋮ On BRST cohomology of \(\mathrm{SL}(2,\mathbb R)_{p/q-2}/\mathrm{SL}(2,\mathbb R)_{p/q-2}\) gauged WZNW models ⋮ Conformal embeddings, rank-level duality and exceptional modular invariants

Cites Work

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• Operator content of two-dimensional conformally invariant theories
• Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.
• Unitary representations of the Virasoro and super-Virasoro algebras
• Quantum field theories in one and two dimensions
• Virasoro algebras and coset space models
• Modular invariant partition functions in two dimensions
• Dirac operator and the discrete series
• Semisimple subalgebras of semisimple Lie algebras
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Spinor representations of affine Lie algebras
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• Modular invariance and the spectrum of two-dimensional conformal field theories

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