Modular invariant partition functions and method of shift vector

DOI10.1063/1.530770zbMath0826.17033arXivhep-th/9301016OpenAlexW3102032438MaRDI QIDQ4296083

Ahmad Shirzad, Hessamaddin Arfaei

Publication date: 15 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9301016

zbMATH Keywords

affine Lie algebraspartition functionsmodular invariantsconformal field theories

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Operator content of two-dimensional conformally invariant theories
• \({\mathbb{Z}}/N{\mathbb{Z}}\) conformal field theories
• Modular transformations of SU(N) affine characters and their commutant
• The supersymmetry index and the construction of modular invariants
• Modular invariant partition functions in two dimensions
• Modular invariants for affine SU(3){\^{\ }} theories at prime heights

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