Date: Monday, January 28, 2013
Location: 4088 East Hall (4:00 PM to 6:00 PM)
Title: Quantum McKay correspondence via gauged linear sigma model
Abstract: In the early 90's, Witten introduced the gauged linear sigma model (GLSM) to study the phase change phenomenon in string theory. Mathematically, we can interprete GLSM as a symplectic reduction, in which charge vectors play an important role. For a local Calabi-Yau $X$, we can use its charge vectors to describe the moduli space of mirror curves, and hence determine the genus-zero (closed) Gromov-Witten invariants. Similar picture also holds for open string invariants. It is observed that for different limit points in the K\"ahler moduli of $X$, it is better to use different charge vectors, which are all $\mathbb Q$-bases of the lattice of invariants. Following this idea, we have proved the quantum McKay correspondence for disc invariants of effective outer legs in semi-projective toric Calabi-Yau $3$-orbifolds, using the recent result of Bohan Fang, Mellisa Liu and Hsian-Hua Tseng. This is joint work with Jian Zhou.
Speaker: Huazhong Ke
Institution: Tsinghua Univ/Michigan
Event Organizer:
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