(Sorbonne Paris Norht University)
Abstract: I will recall the work of Costello, Caldararu-Tu on how to extract 'enumerative‘ invariants out of a Calabi-Yau category C, conjecturally matching GW invariants of M symplectic if C=Fuk(M). Their work is an algebraic incarnation of closed string field theory (SFT); the invariants are assembled in the partition function of the closed SFT associated to C. Next I will report on work in progress (by U., Amorim-Tu and using results of Voronov et. al) how to define the partition function of large N open SFT on a stack of N branes of an object x of C, conjecturally related to open GW invariants. Finally I explain how to define the partition function of closed SFT of C, backreacted in the direction of an object x. This is directly inspired by constructions in the ’Twisted Holography’ proposal of Costello-Gaiotto.
- Organizer: Centre for Quantum Mathematics
- Address: Campusvej 55, 5230 Odense M
- Contact Email: qm@sdu.dk
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