Central charges of B-branes at non geometric phases

Central charges of B-branes at non geometric phases - Mauricio Romo

Mauricio Romo
IAS
March 16, 2017
Abstract: I'll give an overview of basic concepts about B-branes and their central charges and
how they arise in physics and mathematics. In particular I'll present the gauge linear model
approach which allows for defining quantities in the full stringy Kahler moduli M of certain
Calabi-Yaus (CY). Then, I'll show some examples and motivate an intrinsic definition of the central
charges on phases (some sub-regions of M), based on field theory data. I'll put particular
emphasis on Landau-Ginzburg (orbifold) phases of CY hypersurfaces and comparison with results
in FJRW theory. If time allows I'll comment on applications to not complete intersections and
non-CY cases.