# CMSA Mathematical Physics Seminar: Comments on the lattice-continuum correspondence

CMSA EVENTS

##### Speaker:

Djordje Radicevic *- Brandeis University*

*will speak on:*

The goal of this talk is to precisely describe how certain operator properties of continuum QFT (e.g. operator product expansions, current algebras, vertex operator algebras) emerge from an underlying lattice theory. The main lesson will be that a "continuum limit" must always involve two or more cutoffs being taken to zero in a specific order. In other words, the naive statement that continuum theories are obtained from lattice ones by letting a "lattice spacing" go to zero is never sufficient to describe the lattice-continuum correspondence. Using these insights, I will show in detail how the Kac-Moody algebra arises from a nonperturbatively well defined, fully regularized model of free fermions, and I will comment on generalizations and applications to bosonization. Time permitting, I will describe more intricate examples involving scalar fields, and I will discuss several open questions.

**via Zoom Video Conferencing: https://harvard.zoom.us/j/837429475**