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CFT · renormalisation · topological phases
Critical phenomena and quantum field theory
We study universal behaviour near phase transitions using conformal field theory, conformal perturbation theory, renormalisation-group methods, dualities and Monte Carlo calculations. Topological quantum field theory provides a complementary language for phases beyond ordinary symmetry breaking.
Research questions
What we are trying to understand
How accurately can conformal data determine off-critical observables?
Which universal structures persist across lattice, continuum and dual descriptions?
How do topological and symmetry-based descriptions meet near criticality?
Programme strands
What is currently in this programme
- Conformal perturbation theory away from criticality
- Effective strings, confinement and lattice comparisons
- Infrared dualities and topological quantum field theory
Why it matters
Impact and connections
This programme connects analytical and numerical descriptions of criticality, confinement, phase structure and topological order across statistical mechanics, condensed matter and high-energy theory.