量子链中的Kramers-Wannier自对偶性和不可逆平移对称性:波函数视角

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Hua-Chen Zhang, Germán Sierra
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引用次数: 0

摘要

从模型波函数的角度研究了临界量子链的Kramers-Wannier自对偶性。我们以横场Ising链和三态Potts链为例证明,Kramers-Wannier自对偶的对称算子以一种简单而直接的方式遵循任意子融合基中模型波函数的“广义”平移对称。这个转换操作,反过来,包括一系列的f -移动在潜在的融合类别。由此得到的对称算子自然具有矩阵积算子的形式,并遵循不可逆的融合规则。这些发现揭示了晶格上的(不可逆的)平移对称与描述缩放极限的共形场论的拓扑方面之间的有趣联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Kramers-Wannier self-duality and non-invertible translation symmetry in quantum chains: a wave-function perspective

The Kramers-Wannier self-duality of critical quantum chains is examined from the perspective of model wave functions. We demonstrate, using the transverse-field Ising chain and the 3-state Potts chain as examples, that the symmetry operator for the Kramers-Wannier self-duality follows in a simple and direct way from a ‘generalised’ translation symmetry of the model wave function in the anyonic fusion basis. This translation operation, in turn, comprises a sequence of F-moves in the underlying fusion category. The symmetry operator thus obtained naturally admits the form of a matrix product operator and obeys non-invertible fusion rules. The findings reveal an intriguing connection between the (non-invertible) translation symmetry on the lattice and topological aspects of the conformal field theory describing the scaling limit.

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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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