KEK 素粒子原子核研究所・理論セミナー(深谷英則氏)

 
分類理論セミナー
開始2019/06/04(火)11:00
終了2019/06/04(火)12:00
会場研究本館1階 第一会議室
講演タイトルAtiyah-Patodi-Singer index theorem and domain-wall fermions
講演者深谷英則氏(大阪大学)
言語英語/English
連絡先浅野侑磨
ウェブサイト
食堂・売店利用予定なし/0

概要

The Atiyah-Patodi-Singer index theorem describes the bulk-edge correspondence of symmetry protected topological insulators. The mathematical set-up for this theorem is, however, not directly related to the physical fermion system, as it imposes on the fermion fields a non-local boundary condition known as the “APS boundary condition” by hand, which is unlikely to be realized in the materials. In 2017, we showed that the same integer as the APS index can be obtained from the eta-invariant of the domain-wall Dirac operator. In this work, we invite three mathematicians to our group and prove that this correspondence is not a coincidence but generally true.

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