Conformal characters and theta series

DOI10.1007/BF00761292zbMath0884.17020arXivmath/9411214MaRDI QIDQ1900503

Wolfgang Eholzer, Nils-Peter Skoruppa

Publication date: 1 April 1998

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

Full work available at URL: https://arxiv.org/abs/math/9411214

zbMATH Keywords

Kac-Moody algebrasmodular groupVirasoro algebraCasimir \(W\)-algebrasconformal charactersconstruction of vector-valued modular formsrational models of \({\mathcal W}\)-algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Theta series; Weil representation; theta correspondences (11F27)

Related Items (7)

Modular invariance and uniqueness of conformal characters ⋮ Constraints on extremal self-dual CFTs ⋮ Automorphisms of \(\mathcal W\)-algebras and extended rational conformal field theories ⋮ Fusion algebras of fermionic rational conformal field theories via a generalized Verlinde formula ⋮ Higher-level Appell functions, modular transformations, and characters ⋮ Hecke operators on vector-valued modular forms ⋮ Character vectors of strongly regular vertex operator algebras

Cites Work

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• Characters of irreducible representations of the Virasoro algebra
• Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). I
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). II
• Modular invariance and uniqueness of conformal characters
• COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS

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