Dai-Freed theorem and topological phases of matter

DOI10.1007/JHEP09(2016)022zbMath1390.81474arXiv1607.01873MaRDI QIDQ1639154

Kazuya Yonekura

Publication date: 12 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01873

zbMATH Keywords

anomalies in field and string theoriesdifferential and algebraic geometrytopological states of matter

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (21)

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 ⋮ Global anomalies and bordism invariants in one dimension ⋮ Higher Berry phase of fermions and index theorem ⋮ Anomaly inflow for local boundary conditions ⋮ Anomaly inflow of Rarita-Schwinger field in 3 dimensions ⋮ Heterotic global anomalies and torsion Witten index ⋮ Dai-Freed anomaly in the standard model and topological inflation ⋮ The discrete Green-Schwarz mechanism in 6D F-theory and elliptic genera of non-critical strings ⋮ New supersymmetric string theories from discrete theta angles ⋮ 8d gauge anomalies and the topological Green-Schwarz mechanism ⋮ The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators ⋮ Cobordism conjecture, anomalies, and the String Lamppost Principle ⋮ Anomaly constraint on massless QCD and the role of skyrmions in chiral symmetry breaking ⋮ Anomaly inflow and holography ⋮ Anomaly matching in QCD thermal phase transition ⋮ The Arf-Brown TQFT of pin⁻ surfaces ⋮ Anomaly interplay in U(2) gauge theories ⋮ New anomalies, TQFTs, and confinement in bosonic chiral gauge theories ⋮ Mod-two APS index and domain-wall fermion ⋮ Anomaly inflow and \(p\)-form gauge theories

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