A new formulation of the Teichmüller TQFT

Abstract

By using the Weil-Gel'fand-Zak transform of Faddeev's quantum dilogarithm, we propose a new state-integral model for the Teichmüller TQFT, where the circle valued state variables live on the edges of oriented leveled shaped triangulations.

15 pages. arXiv admin note: substantial text overlap with arXiv:1109.6295

References in corpus (2)

• Generalized Volume Conjecture and the A-Polynomials -- the Neumann-Zagier Potential Function as a Classical Limit of Quantum Invariant
• Quantum Riemann Surfaces in Chern-Simons Theory

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• The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory
• Complex Chern-Simons theory at level k via the 3d-3d correspondence
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• Level N Teichmüller TQFT and Complex Chern-Simons Theory
• Asymptotic aspects of the Teichmüller TQFT
• Resurgence Analysis of Meromorphic Transforms
• On the asymptotics of the meromorphic 3D-index