Gauge interactions and topological phases of matter

DOI10.1093/ptep/ptw131zbMath1361.81113arXiv1604.06184OpenAlexW2963363501MaRDI QIDQ5347198

Kazuya Yonekura, Yuji Tachikawa

Publication date: 22 May 2017

Published in: Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06184

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Anomalies in quantum field theory (81T50)

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Dai-Freed theorem and topological phases of matter ⋮ Time reversal, \(\mathrm{SU}(N)\) Yang-Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in 3+1D ⋮ On the cobordism classification of symmetry protected topological phases ⋮ Comments on \(\mathrm{QCD}_3\) and anomalies with fundamental and adjoint matter ⋮ AGT/\({\mathbb{Z}}_2\) ⋮ The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators ⋮ Time-reversal breaking in \(\mathrm{QCD}_{4}\), walls, and dualities in 2 + 1 dimensions ⋮ Unoriented 3d tfts ⋮ Quantum distillation of Hilbert spaces, semi-classics and anomaly matching ⋮ Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies ⋮ Anomaly matching in QCD thermal phase transition ⋮ \( \mathcal{N} = 2 \) gauge theories on unoriented/open four-manifolds and their AGT counterparts ⋮ Global anomalies on the Hilbert space ⋮ Comments on symmetric mass generation in 2d and 4d ⋮ Mod-two APS index and domain-wall fermion

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