Two-fold refinement of non simply laced Chern-Simons theories

DOI10.1016/j.geomphys.2023.104907zbMath1521.57027arXiv2302.14319OpenAlexW4380894175MaRDI QIDQ6115711

M. Y. Avetisyan, R. L. Mkrtchyan

Publication date: 10 August 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.14319

zbMATH Keywords

Chern-Simons theoryVogel's universalityrefined topological stringsrefined Chern-Simons theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Topological quantum field theories (aspects of differential topology) (57R56) Eta-invariants, Chern-Simons invariants (58J28)

Cites Work

• Refined Chern-Simons versus Vogel universality
• Nonperturbative universal Chern-Simons theory
• On partition functions of refined Chern-Simons theories on \(S^3\)
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Quantum field theory and the Jones polynomial
• Universality in Chern-Simons theory
• Orientifolds and the refined topological string
• Double affine Hecke algebras and Macdonald's conjectures
• Macdonald's evaluation conjectures and difference Fourier transform
• Knot homology and refined Chern-Simons index
• Exact Chern-Simons / topological string duality
• On refined Chern-Simons/topological string duality for classical gauge groups
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• Some Conjectures for Root Systems
• A new class of symmetric functions
• Unnamed Item