Research
in this area deals with advanced methods of quantum field theory
and their interplay with mathematical physics, the relations
between field theory and string theory, and the exact solutions
based on symmetries and integrability.
These methods find application not only in
high energy physics, but also
in condensed matter physics, statistical physics and mathematics.
-
- Conformal Field Theory and applications (Andrea
Cappelli)
- Effective Field Theories of the Quantum Hall
Effect
- Topological phases of low-dimensional condensed
matter
- Conformal field theories and c-theorem in higher
dimensions
Dynamics of open quantum
systems (Paola Verrucchi)
- quantum
communication and information theory
- quantum criticality
and entanglement properties
- measurement process
and quantum-to-classical crossover
Gauge and String Theories (Alice
Bernamonti, Francesco Bigazzi, Aldo L. Cotrone, Domenico
Seminara)
- AdS/CFT and gauge/gravity
dualities
- Supersymmetric quantum field theories
- Applied Holography: from QCD
to condensed matter
- Quantum entanglement and
black hole physics
Quantum integrable models, exactly solvable models (Filippo Colomo)
- Calculation of correlation functions
- Applications to combinatorics
- `Limit shape' phenomena [more]
Symplectic geometry and quantization (Francesco Bonechi,
Marco Tarlini)
- Integration of Poisson manifolds
- Geometric quantization of symplectic groupoids
Topological Field Theories and Higher
Structures (Francesco Bonechi)
- AKSZ solution of master equation in Batalin-Vilkovisky
formalism
- Graded geometry
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