B-branes and related stuff
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.
For the basics:
- K. Hori et al. Mirror Symmetry vol. 1
- 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]