تقرير
Classification of 1+1D gapless symmetry protected phases via topological holography
| العنوان: | Classification of 1+1D gapless symmetry protected phases via topological holography |
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| المؤلفون: | Wen, Rui, Potter, Andrew C. |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory, Quantum Physics |
| الوصف: | Symmetry topological field theory (SymTFT) gives a holographic correspondence between systems with a global symmetry and a higher-dimensional topological field theory. In this framework, classification of gapped phases of matter in spacetime dimension 1+1D correspond to classifications of mechanisms to confine the SymTFT by condensing anyons. In this work, we extend these results to characterize gapless symmetry-protected topological states: symmetry-enriched gapless phases or critical points that exhibit edge modes protected by symmetry and topology. We establish a one-to-one correspondence between 1+1D bosonic gSPTs, and partially-confined boundaries of 2+1D SymTFTs. From general physical considerations, we determine the set of data and consistency conditions required to define a 1+1D gSPT, and show that this data precisely matches that of symmetry-preserving partial confinement (or partially gapped boundaries) of 2+1D quantum double models. We illustrate this correspondence through a dimensional reduction (thin-slab) construction, which enables a physically-intuitive derivation of how properties of the gSPT such as edge modes, emergent anomalies, and stability to perturbations arise from the SymTFT perspective.ditions required to define a 1+1D gSPT and show that they fully determine the physics of the gSPT including edge modes and emergent anomaly. Comment: 21 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.00050 |
| رقم الأكسشن: | edsarx.2311.00050 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |