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A new formulation of the Teichm\"uller TQFT
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By using the Weil-Gel'fand-Zak transform of Faddeev's quantum dilogarithm, we propose a new state-integral model for the Teichm\"uller TQFT, where the circle valued state variables live on the edges of oriented leveled shaped triangulations.
Forward citations
Cited by 4 Pith papers
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On the Virasoro Crossing Kernels at Rational Central Charge
At rational central charge, the Virasoro crossing kernels decompose into two admissible square-root-branched kernels; the physical c≤1 kernels are derived for the first time.
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Solving the tetrahedron equation by Teichm\"uller TQFT
Boltzmann weights built from Teichmüller TQFT on shaped triangulations with line defects exactly solve the bicolored tetrahedron equations.
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Triangulating quantum gravity in AdS$_3$
The fixed-angle gravitational path integral in AdS3 equals a Conformal Turaev-Viro partition function, the fixed-length path integral equals a Virasoro TQFT amplitude squared, and the semiclassical geometries are buil...
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Conformal Turaev-Viro Theory
Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.
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