Towards Solving Compactified Imaginary Liouville Theory
Date(s) : 22/09/2026 iCal
14h30 - 15h30
On a given Riemann surface, C. Guillarmou, A. Kupiainen, and R. Rhodes
constructed a path integral based on the Liouville action functional
with imaginary parameters, giving rise to
the Compactified Imaginary Liouville Theory (CILT).
They proved that CILT is a conformal field theory
and satisfies Segal’s axioms.
The construction is based on imaginary Gaussian multiplicative chaos,
and CILT is expected to have connections to minimal models,
Coulomb gas integrals, and loop models.
In this talk, I will review their construction of CILT
and discuss progress in the conformal bootstrap.
This talk is based on ongoing joint work
with C. Guillarmou, A. Kupiainen, R. Rhodes, and Y. Xie.
Emplacement
I2M Saint-Charles - Salle de séminaire
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