フルヤ　シュンスケ   FURUYA Shunsuke   古谷　峻介    所属   埼玉医科大学  医学部 教養教育    職種   専任講師
論文種別	学術雑誌(原著)
言語種別	英語
査読の有無	査読あり
表題	Symmetry Protection of Critical Phases and a Global Anomaly in 1+1 Dimensions
掲載誌名	正式名：PHYSICAL REVIEW LETTERS ISSNコード：0031-9007/1079-7114
出版社	AMER PHYSICAL SOC
巻・号・頁	118(2)
著者・共著者	Shunsuke C. Furuya,Masaki Oshikawa
発行年月	2017/01
概要	We derive a selection rule among the (1 + 1)-dimensional SU(2) Wess-Zumino-Witten theories, based on the global anomaly of the discrete Z(2) symmetry found by Gepner and Witten. In the presence of both the SU(2) and Z(2) symmetries, a renormalization-group flow is possible between level-k and level-k' Wess-Zumino-Witten theories only if k equivalent to k' mod 2. This classifies the Lorentz-invariant, SU(2)-symmetric critical behavior into two "symmetry-protected" categories corresponding to even and odd levels, restricting possible gapless critical behavior of translation-invariant quantum spin chains.
DOI	10.1103/PhysRevLett.118.021601
arXiv ID	arXiv:1503.07292
PermalinkURL	http://arxiv.org/abs/1503.07292v3