Theory HEP Seminar

The complex Liouville string

Beatrix Muehlmann

McGill

I will introduce a new 2d gravity/matrix model duality. The bulk theory is a two-dimensional string theory defined by coupling two copies of Liouville CFT with central charges c = 13 ± is on the worldsheet. We call this string theory the complex Liouville string. The complex Liouville string may be recast semiclassically in terms of 2d dilaton gravity with a sine potential for the dilaton. This dilaton gravity theory admits solutions with both signs of the cosmological constant. I will argue that the complex Liouville string admits a dual description in terms of a double-scaled two-matrix integral. Furthermore the string amplitudes, which are the main observables of the complex Liouville string, can be interpreted as the cosmological correlators at future infinity of dS₃. Based on work in progress in collaboration with Scott Collier, Lorenz Eberhardt, and Victor Rodriguez.