New Jacobi-like identities for \(\mathbb{Z}_ K\) parafermion characters

DOI10.1007/BF02102105zbMath0809.11024arXivhep-th/9201078OpenAlexW1980098820MaRDI QIDQ2367954

Philip C. Argyres, Keith R. Dienes, S.-H. Henry Tye

Publication date: 19 September 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9201078

zbMATH Keywords

identitiesstring functionsspacetime supersymmetryDedekind \(\eta\)- functionfractional superstring spectraJacobi \(\vartheta\)-functionsparafermion characters

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Structure of modular groups and generalizations; arithmetic groups (11F06) Dedekind eta function, Dedekind sums (11F20)

Related Items

Aspects of fractional superstrings, Dynamical description of spectral flow in \(N = 2\) superconformal field theories, The worldsheet conformal field theory of the fractional superstring, Parafermionic representation of the affine \(\text{s}\widehat{\text{l}}(2|1;{\mathbb{C}})\) algebra at fractional level, Fractional supersymmetric Liouville theory and the multi-cut matrix models

Cites Work

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• Current algebras and Wess-Zumino model in two dimensions
• An elucidation of Infinite-dimensional algebras\dots and the very strange formula. \(E^{(1)}_8\) and the cube root of the modular invariant j
• Fractional superstrings with space-time critical dimensions four and six
• Lectures on Modular Forms. (AM-48)