47 min
Seminar, Hosted by Perimeter Institute for Theoretical Physics
Density mode algebra in critical fuzzy sphere models
California Institute of Technology (Caltech)
Recording
Abstract
Luisa Eck investigates the density-operator algebra underlying fuzzy-sphere models of three-dimensional conformal field theories. Projection to the lowest Landau level produces a spin-enriched spherical counterpart of the Girvin–MacDonald–Platzman algebra, linked to fuzzy spherical harmonics. A local planar limit recovers the planar algebra at large angular momentum, while the commutative limit relevant to critical low energies makes small-angular-momentum modes semiclassical. The work is joint with Zhenghan Wang.
Topics
- density-operator algebra, broader topic: algebra
- fuzzy-sphere models, search World Wide
- three-dimensional conformal field theories, broader topic: conformal field theories
- lowest Landau level, search World Wide
- fuzzy spherical harmonics, search World Wide
- planar algebra, broader topic: algebra
- large angular momentum, search World Wide
- commutative limit, search World Wide