IAS Physics Group Meeting
A Toolkit for Infinite Dimensional Symmetries
This group meeting will be presented in-person in Wolfensohn Hall at the IAS.
For contact-tracing purposes all off-campus attendees must register for this seminar:
All in-person attendees must be fully vaccinated and masks are required in all indoor spaces. Additionally, all off-campus attendees are required to upload proof of vaccination via the IAS CrowdPass App .
Abstract: Recently infinite dimensional Lie algebras have been identified in the study of physical models. Some examples are the Monster Lie algebra in a certain compactification of the Heterotic String and hyperbolic Kac-Moody Lie algebras in dimensionally reduced supergravity theories. Since these algebras encode physical symmetries, it is important to associate Lie group analogs to them. However many of the usual techniques break down in infinite dimensions. We will discuss some of the issues that arise and outline some constructions that could be used to study the physical models.