Notes on massless scalar field partition functions, modular invariance and Eisenstein series

DOI10.1007/JHEP12(2021)211MaRDI QIDQ2085402

Glenn Barnich, Martin Bonte, Francesco Alessio

Publication date: 14 October 2022

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03164

zbMATH Keywords

conformal field theorydiscrete symmetriesanomalies in field and string theories

Mathematics Subject Classification ID

Quantum theory (81-XX)

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Type IIB at eight derivatives: insights from superstrings, superfields and superparticles, Casimir energy and modularity in higher-dimensional conformal field theories

Cites Work

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• Operator content of two-dimensional conformally invariant theories
• Conformal field theory
• A new improved energy-momentum tensor.
• Republication of: The dynamics of general relativity
• Evaluation of the one loop string path integral
• Infinite conformal symmetry in two-dimensional quantum field theory
• Modular invariant partition functions in two dimensions
• Zeta function regularization of path integrals in curved spacetime
• A modular invariant partition function for the fivebrane
• Detachable circles and temperature-inversion dualities for \(\mathrm{CFT}_{d}\)
• Gravity, strings, modular and quasimodular forms
• Eisenstein series and string thresholds.
• Gravitons in a Casimir box
• Thermal one-point functions and single-valued polylogarithms
• Modular invariance in finite temperature Casimir effect
• On the nth Derivative of Composite Functions
• Statistical Field Theory
• Eisenstein Series and Automorphic Representations
• Soft Degrees of Freedom, Gibbons–Hawking Contribution and Entropy from Casimir Effect
• Quantum Theory of Gravity. I. The Canonical Theory
• Advances in the Casimir Effect