KEK素粒子原子核研究所・理論セミナー/大谷

分類理論セミナー
開始2015/07/28(火)13:30
終了2015/07/28(火)15:00
会場研究本館3階 セミナーサロン322
講演タイトルBPS Monopole in the Space of Boundary Conditions
講演者大谷 聡 氏(日本大学 量子科学研究所)
言語日本語/Japanese
連絡先松久勝彦/matsuhis-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし/0

概要

(ABSTRACT)

The space of all possible boundary conditions that respect self-adjointness of Hamiltonian operator is known to be given by the group manifold U(2) in one-dimensional quantum mechanics. In this talk we study non-Abelian Berry's connections in the space of boundary conditions in a simple quantum mechanical system: We consider a system for a free spinless particle on a circle with two point-like interactions described by the U(2) ¥times U(2) family of boundary conditions. We show that, for a certain SU(2) ¥subset U(2) ¥times U(2) subfamily of boundary conditions, all the energy levels become doubly-degenerate thanks to the so-called higher-derivative supersymmetry, and non-Abelian Berry's connection in the ground-state sector is given by the Bogomolny-Prasad-Sommerfield (BPS) monopole of SU(2) Yang-Mills-Higgs theory. We also show that, in the ground-state sector of this quantum mechanical model, matrix elements of position operator give the adjoint Higgs field that satisfies the BPS equation. It is also discussed that Berry's connections in the excited-state sectors are given by non-BPS 't Hooft-Polyakov monopoles.

会議とセミナー一覧

2018年9月

            1
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30