Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms

DOI10.1007/s00220-019-03671-6zbMath1479.81064arXiv1812.11959OpenAlexW2907528256WikidataQ126294474 ScholiaQ126294474MaRDI QIDQ2184740

Kantaro Ohmori, Meng Guo, Zheyan Wan, Juven Wang, Pavel Putrov

Publication date: 29 May 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11959

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Spinor and twistor methods applied to problems in quantum theory (81R25) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Spin and Spin({}^c) geometry (53C27) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90) Fermionic systems in quantum theory (81V74) Particle exchange symmetries in quantum theory (general) (81V72)

Related Items (13)

The super Frobenius-Schur indicator and finite group gauge theories on \(\mathrm{pin}^-\) surfaces ⋮ Stable diffeomorphism classification of some unorientable 4‐manifolds ⋮ Global anomalies and bordism invariants in one dimension ⋮ Anomalies of non-abelian finite groups via cobordism ⋮ Spin-cobordisms, surgeries and fermionic modular bootstrap ⋮ Anomalies and bosonization ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ Orbifold groupoids ⋮ Symmetries of abelian Chern-Simons theories and arithmetic ⋮ On gapped boundaries for SPT phases beyond group cohomology ⋮ Lieb-Schultz-Mattis theorem and the filling constraint ⋮ On 2-form gauge models of topological phases ⋮ Global anomalies on the Hilbert space

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