A new formulation of the Teichm\"uller TQFT
J{\o}rgen Ellegaard Andersen, Rinat Kashaev
TL;DR
This paper introduces a novel state-integral model for Teichmüller TQFT utilizing the Weil-Gel'fand-Zak transform of Faddeev's quantum dilogarithm, with state variables on triangulation edges.
Contribution
It presents a new formulation of Teichmüller TQFT based on a different mathematical transform and state variable placement, advancing the theoretical framework.
Findings
New state-integral model for Teichmüller TQFT
State variables on edges of triangulations
Utilizes Weil-Gel'fand-Zak transform of quantum dilogarithm
Abstract
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Geometric and Algebraic Topology