From BRST,BV to AKSZ with shifted symplectic structure, part 3
ABSTRACT
BRST(Becchi, Rouet, Stora, Tyutin) theory introduced in the mid-1970s is a relatively rigorous mathematical approach to quantize a field theory with gauge symmetry using Faddeev-Popov ghosts.
This theory was extended to a more general formalism, BV(Batalin, Vilkovisky) theory, making a great impact on mathematical physics.
AKSZ(Alexandrov, Kontsevich, Schwarz, Zaboronsky) is a BV formaism for sigma models, where shifted symplectic structures are passed on the mapping space with some change.
These days, this AKSZ model with shifted symplectic structures is extended to derived algebraic geometry and TQFT.
This talk is a gentle introduction of these theories to both mathematicians and physicists with no prerequisite.
1. Sep. 10th(Tue) 2-5 p.m. BRST
2. Sep. 11th(Wed) 2-5 p.m. BV
3. Sep. 12th(Thr) 2-5 p.m. AKSZ with shifted symplectic structure
I will try to cover the basic materials with many examples and if time permits I will touch on the advanced one, derived algebraic geometry and TQFT.