In this talk, I will present recent work on the structure of wave functions in complex ChernSimons theory on the complement of a hyperbolic knot. The holomorphic blocks conjecturally possess a hidden integrality structure that guarantees the cancellation of potential singularities in the full nonperturbative wave function at rational points. I will describe several general techniques to determine the wave function in the rational case. Finally, I will illustrate our conjectural statements in the benchmark example of the figureeight knot, whose wave function shares the features of the ground state for a quantum mirror curve. This talk is based on arXiv:2312.00624.
Tuesday
23 Apr/24
14:00

15:30
(Europe/Zurich)
On the structure of wave functions in complex ChernSimons theory
Where:
4/2037 at CERN