The Conformal Generators on the Fuzzy Sphere

by Emanuel Katz (Boston U.)

Tuesday Oct 8, 2024, 2:00 PM → 4:00 PM Europe/Zurich

4/3-006 - TH Conference Room (CERN)

We investigate the conformal algebra on the fuzzy sphere, and in particular the generators of translations and special conformal transformations which are emergent symmetries in the infinite IR, but are broken along the RG flow. We show how to extract these generators using the energy density. We discuss and quantitatively analyze the main sources of corrections to the conformal generators due to the breaking of scale-invariance at finite energy and develop efficient methods for removing these corrections. We show that the generators can be used to accurately identify primary operators vs descendant operators in energy ranges where the spectrum is too dense to do the identification solely based on the approximate integer spacing within conformal multiplets.