High Energy Theory Seminar

We study the perturbative S-matrix of the c=1 string and show that it admits a description in terms of a double-scaled matrix integral. Together with the well-known duality to matrix quantum mechanics, this leads to a triality between worldsheet string theory, matrix quantum mechanics, and a matrix integral.

Starting from the complex Liouville string and its dual matrix integral, we derive closed-form Feynman rules for c=1 amplitudes. These naturally describe a discretized target space, with the physical S-matrix recovered by analytic continuation. We show that the amplitudes satisfy perturbative unitarity and a Mirzakhani-type recursion, and we find detailed agreement with matrix quantum mechanics.

Based on work with S. Collier and L. Eberhardt. 

The talk is in 469 Lauritsen.

Contact [email protected] for Zoom information.