On the large charge/matrix model duality

ADS seminar

Organizer：

数学物理团队

Speaker：

Alba Grassi (Geneva U/ Cern)

Time：

Thur., 16:00, Mar. 27, 2025

Online：

Zoom Meeting ID: 86208661287

Passcode: 630307

Title：

On the large charge/matrix model duality

Abstract:

Strongly coupled regimes of quantum field theory remain notoriously difficult to access with standard analytic tools. However, certain aspects of these theories become more manageable when focusing on sectors where specific quantum numbers are taken to be large. Well known examples include the large N limit, where N denotes the rank of the gauge group or the large spin limit. More recently, a new approach based on effective field theory (EFT) has gained importance for studying sectors of a theory where a given global charge is considered to be very large. In this talk, I will show how a dual description in terms of matrix models emerges in such large-charge regimes, with the matrix size directly linked to the underlying global charge. I will show how this framework provides a powerful tool not only to demonstrate the predictions of effective field theory, but also to go beyond them.