Theory Seminar

KEK Theory Seminar (Dr. Yuji Sugimoto)

Start:2017/05/16 (Tue) 11:00 AM
End:2017/05/16 (Tue) 12:00 PM

Speaker:Dr. Yuji Sugimoto (Osaka University)
Lecture:Calabi-Yau geometry and electrons on 2d lattice  


I will talk about the mysterious correspondence between the topological string and condensed matter physics. Recently, it was pointed out that the quantum eigenvalue problem for a particular Calabi--Yau manifold, known as local $\mathbb{F}_0$, is closely related to the Hofstadter problem for electrons on a two-dimensional square lattice. Then we generalize this result, and find that the local $\cB_3$ geometry, which is a three-point blow-up of local $\mathbb{P}^2$, is associated with electrons on a triangular lattice. This correspondence allows us to use known results in condensed matter physics to investigate the quantum geometry of the toric Calabi--Yau manifold.

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