任课教师 Speaker：Mauricio Romo
时间 Time： 每周二、周四15:20-16:55，2020-2-18 ~ 5-7
In this course I will present some advanced topics related with gauged linear sigma models (GLSM). I will mainly focus on how to get derived equivalences and functors between triangulated categories related to CY geometries, mathematically, this is a generalization of Orlov’s equivalence and in physics terms this is about correspondences of B-brane categories as we move on the quantum Kahler moduli space. I will also present extensions of these results to non-CY cases. As time allows I will also present other modern topics such as Seiberg-like dualities and the incorporation of B-type domain walls on GLSMs and their categorical interpretation.
Some knowledge of 2d (2,2) supersymmetric QFTs is required as well as some basic algebraic geometry. No previous knowledge on categories will be assumed.
For the basics:
- K. Hori et al. Mirror Symmetry
P. Aspinwall ‘D-branes on Calabi-Yau Manifolds’ hep-th/0403166
- M. Herbst, K. Hori and D. Page
‘Phases of N=2 Theories in 1+1 Dimensions with Boundary’ hep-th/0803.2045
- M. Ballard, D. Favero and L.
Katzarkov ‘Variation of Geometric Invariant Theory quotients and derived
categories’ 1203.6643 [math.AG]
- D. Halpern-Leistner
‘The Derived Category of a GIT Quotient’ 1203.0276 [math.AG]