Spectra, Dynamical Systems, and RG Flows

Explore the intriguing connections between Frobenius manifolds and dynamical systems in this thought-provoking lecture by Sergei G. Gukov from the California Institute of Technology. Delve into the reformulation of renormalization group (RG) flows using the language of dynamical systems, based on earlier work. Examine the conjecture that, under specific generic conditions, the spectrum of scaling dimensions in a Conformal Field Theory (CFT) increases monotonically. Investigate the relationship between this statement and the semicontinuity of the spectrum as proposed by Varchenko and Steenbrink. Gain insights into the prerequisite connection between conformal dimension spectra and Steenbrink spectra. Enhance your understanding of advanced concepts in theoretical physics and mathematics through this in-depth exploration of spectra, dynamical systems, and RG flows.