Lecture: Classical Freeness of CFTs

  • Date: –16:00
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å4001
  • Lecturer: Reimundo Heluani, IMPA, Rio de Janeiro
  • Contact person: Tobias Ekholm and Maxim Zabzine
  • Föreläsning

To any vertex operator algebra/CFT V one can attach a classical field theory limit P (roughly the Poisson algebra of local observables) and a classical mechanics limit C (roughly the Poisson algebra of zero modes). On the other hand to any classical mechanics system, say a Poisson algebra C with Hamiltonian H, one can attach a classical field theory JC "freely generated by C". When C is the classical mechanics limit of a CFT V, there is a canonical surjection JC --> P. We explore the question of when this is an isomorphism providing the first known examples and counterexamples. This is joint work with J. van Ekeren.