KEK素粒子原子核研究所・理論セミナー(杉本 裕司氏)

分類理論セミナー
開始2017/05/16(火)11:00
終了2017/05/16(火)12:00
会場研究本館1階会議室1
講演タイトルCalabi-Yau geometry and electrons on 2d latice
講演者杉本 裕司 氏(大阪大学)
言語英語/English
連絡先tsuyama-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし/0

概要

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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