Composite subsystem symmetries and decoration of sub-dimensional excitations

التفاصيل البيبلوغرافية
العنوان: Composite subsystem symmetries and decoration of sub-dimensional excitations
المؤلفون: Vadali, Avi, Wang, Zongyuan, Dua, Arpit, Shirley, Wilbur, Chen, Xie
المصدر: SciPost Phys. 17, 071 (2024)
سنة النشر: 2023
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons
الوصف: Flux binding is a mechanism that is well-understood for global symmetries. Given two systems, each with a global symmetry, gauging the composite symmetry instead of individual symmetries corresponds to the condensation of the composite of gauge charges belonging to individually gauged theories and the binding of the gauge fluxes. The condensed composite charge is created by a "short" string given by the new minimal coupling corresponding to the composite symmetry. This paper studies what happens when combined subsystem symmetries are gauged, especially when the component charges and fluxes have different sub-dimensional mobilities. We investigate $3+1$D systems with planar symmetries where, for example, the planar symmetry of a planon charge is combined with one of the planar symmetries of a fracton charge. We propose the principle of $\textit{Remote Detectability}$ to determine how the fluxes bind and potentially change their mobility. This understanding can then be used to design fracton models with sub-dimensional excitations that are decorated with excitations having nontrivial statistics or non-abelian fusion rules.
Comment: 16+2 pages, 20 figures
نوع الوثيقة: Working Paper
DOI: 10.21468/SciPostPhys.17.3.071
URL الوصول: http://arxiv.org/abs/2312.04467
رقم الأكسشن: edsarx.2312.04467
قاعدة البيانات: arXiv
الوصف
DOI:10.21468/SciPostPhys.17.3.071