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.

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.