Mathematical and Theoretical Physics Seminar: Diego Garcia Sepulveda (University of Chicago) "Symmetry Enriched c-Theorems & SPT Transitions"
- Event Type
- Ceremony/Service
- Sponsor
- Department of Physics
- Location
- Loomis Lab 464
- Date
- Apr 13, 2023 12:00 pm
- Speaker
- Diego Garcia Sepulveda
- Contact
- Brandy Koebbe
- bkoebbe@illinois.edu
- Views
- 79
- Originating Calendar
- Physics - Mathematical and Theoretical Physics Seminar
We derive universal constraints on (1 + 1)d rational conformal field theories (CFTs) that can arise as transitions between topological theories protected by a global symmetry. The deformation away from criticality to the trivially gapped phase is driven by a symmetry preserving relevant deformation and under renormalization group flow defines a conformal boundary condition of the CFT. When a CFT can make a transition between distinct trivially gapped phases the spectrum of the CFT quantized on an interval with the associated boundary conditions has degeneracies at each energy level. Using techniques from boundary CFT and modular invariance, we derive universal inequalities on all such degeneracies, including those of the ground state.