scientific article; zbMATH DE number 949759
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Publication:4716422
zbMath0919.17019arXivhep-th/9404185MaRDI QIDQ4716422
Publication date: 26 August 1999
Full work available at URL: https://arxiv.org/abs/hep-th/9404185
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Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classical and quantum conformal field theory
- Modular transformations of SU(N) affine characters and their commutant
- Infinite-dimensional Lie algebras, theta functions and modular forms
- The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
- Simple currents versus orbifolds with discrete torsion -- a complete classification
- Automorphisms of the affine \(SU(3)\) fusion rules
- The classification of affine \(SU(3)\) modular invariant partition functions
- Galois modular invariants of WZW models
- Meromorphic \(c=24\) conformal field theories
- On the classification of diagonal coset modular invariants
- Symmetries of the Kac-Peterson modular matrices of affine algebras
- Automorphism modular invariants of current algebras
- Implications of an arithmetical symmetry of the commutant for modular invariants.
- The rank-four heterotic modular invariant partition functions.
- Modular invariants for affine SU(3){\^{\ }} theories at prime heights
- $\widehat{{\rm su}}\left( 3 \right)_k $ FUSION COEFFICIENTS
- THE LOW LEVEL MODULAR-INVARIANT PARTITION FUNCTIONS OF RANK-TWO ALGEBRAS
- GN ⊗ GL/GN+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
- Simple Factors in the Jacobian of a Fermat Curve
- Towards a classification of su(2)⊕...⊕su(2) modular invariant partition functions