Quantization of moduli spaces of flat connections and Liouville theory

zbMath1373.81340arXiv1405.0359MaRDI QIDQ5371342

Jörg Teschner

Publication date: 25 October 2017

Full work available at URL: https://arxiv.org/abs/1405.0359

zbMATH Keywords

Liouville theorymoduli spaces of flat connectionsquantization of Teichmüller spaces

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Classical or axiomatic geometry and physics (51P05)

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Quantisation of super Teichmüller theory ⋮ On a canonical quantization of 3D anti de Sitter pure gravity ⋮ Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory ⋮ Line operators on \(S^1\times\mathbb R^3\) and quantization of the Hitchin moduli space ⋮ On tensor products of positive representations of split real quantum Borel subalgebra $\mathcal {U}_{q\widetilde {q}}(\mathfrak {b}_\mathbb {R})$ ⋮ Bands and gaps in Nekrasov partition function ⋮ The hyperbolic asymptotics of elliptic hypergeometric integrals arising in supersymmetric gauge theory ⋮ CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS ⋮ Confluent conformal blocks of the second kind ⋮ Conformal bootstrap, universality and gravitational scattering

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