RIND seminar on Mathematical Physics and String Theory

Nov. 14, 2022 at 4 p.m. c.t. only via ZoomIlka Brunner (LMU München)

Nils Carqueville (Universität Wien)

Hans Jockers (JGU Mainz)

Peter Mayr (LMU München)

Simone Noja (Universität Heidelberg)

Ivo Sachs (LMU München)

Johannes Walcher (Universität Heidelberg)

Joint seminar series on Mathematical Physics and String Theory

Raghu Mahajan (Stanford U.)

We use insights from string field theory to analyze and cure the divergences in the cylinder diagram in minimal string theory, with both boundaries lying on a ZZ brane. Minimal string theory refers to the theory of two-dimensional gravity coupled to a minimal model CFT that serves as the matter sector; it includes JT gravity as a limiting case. ZZ branes are akin to D-instantons, and give rise to features that reflect the underlying discreteness of the dual theory. The exponential of the cylinder diagram represents the one-loop determinant around the instanton saddle. The finite result for this one-loop constant computed using the string field theory procedure agrees precisely with independent calculations in the dual double-scaled matrix integrals performed by several authors many years ago.