Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral

DOI10.1007/JHEP05(2019)083zbMath1416.81097arXiv1903.05100WikidataQ127854870 ScholiaQ127854870MaRDI QIDQ2315717

Massimo Porrati, Cedric C. Y. Yu

Publication date: 25 July 2019

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

Full work available at URL: https://arxiv.org/abs/1903.05100

zbMATH Keywords

AdS-CFT correspondenceWilson't Hooft and Polyakov loopsAnti-de Sitter gravity in three dimensions

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Path integrals in quantum mechanics (81S40) Analogues of general relativity in lower dimensions (83C80) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (13)

Averaging over Narain moduli space ⋮ Gravitational dual of averaged free CFT's over the Narain lattice ⋮ Wormholes and surface defects in rational ensemble holography ⋮ \(\mathrm{AdS}_3\) gravity and RCFT ensembles with multiple invariants ⋮ Averaging over moduli in deformed WZW models ⋮ Free partition functions and an averaged holographic duality ⋮ Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension ⋮ Low-dimensional De Sitter quantum gravity ⋮ Asymptotic boundary conditions and square integrability in the partition function of AdS gravity ⋮ A note on ensemble holography for rational tori ⋮ Wormholes and spectral statistics in the Narain ensemble ⋮ Adding flavor to the Narain ensemble ⋮ Narain to Narnia

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