SciPost Physics

SciPost Phys. 7, 058 (2019) · published 1 November 2019

• doi: 10.21468/SciPostPhys.7.5.058
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Abstract

Orientifold $p$-planes with $p\le4$ have fractional D$p$-charges, and therefore appear inconsistent with Dirac quantization with respect to D$(6-p)$-branes. We explain in detail how this issue is resolved by taking into account the anomaly of the worldvolume fermions using the $\eta$ invariants. We also point out relationships to the classification of interacting fermionic symmetry protected topological phases. In an appendix, we point out that the duality group of type IIB string theory is the pin+ version of the double cover of $GL(2,\mathbb{Z})$.

• Montero et al., Cobordism conjecture, anomalies, and the String Lamppost Principle
  J. High Energ. Phys. 2021, 63 (2021) [Crossref]
• Dierigl et al., Swampland cobordism conjecture and non-Abelian duality groups
  Phys. Rev. D 103, 066006 (2021) [Crossref]
• Ardehali et al., Central charges, elliptic genera, and Bekenstein-Hawking entropy in $$ \mathcal{N} $$ = (2, 2) AdS3/CFT2
  J. High Energ. Phys. 2022, 188 (2022) [Crossref]
• Koizumi, Anomaly inflow of Rarita–Schwinger field in 3 dimensions
  Lett Math Phys 113, 81 (2023) [Crossref]
• Catterall, Chiral lattice fermions from staggered fields
  Phys. Rev. D 104, 014503 (2021) [Crossref]
• Chen et al., Boundary condition and reflection anomaly in $2+1$ dimensions
  SciPost Phys. 17, 068 (2024) [Crossref]
• Fukaya, Understanding the index theorems with massive fermions
  Int. J. Mod. Phys. A 36, 2130015 (2021) [Crossref]
• Apruzzi et al., The fate of discrete 1-form symmetries in 6d
  SciPost Phys. 12, 047 (2022) [Crossref]
• Davighi et al., Toric 2-group anomalies via cobordism
  J. High Energ. Phys. 2023, 19 (2023) [Crossref]
• Wan et al., Beyond Standard Models and Grand Unifications: anomalies, topological terms, and dynamical constraints via cobordisms
  J. High Energ. Phys. 2020, 62 (2020) [Crossref]
• Debray et al., The anomaly that was not meant IIB
  Fortschritte der Physik 70, 2100168 (2022) [Crossref]
• Guo et al., Symmetric mass generation of Kähler-Dirac fermions from the perspective of symmetry-protected topological phases
  Phys. Rev. B 108, 115139 (2023) [Crossref]
• Davighi et al., A non-perturbative mixed anomaly and fractional hydrodynamic transport
  J. High Energ. Phys. 2024, 119 (2024) [Crossref]
• Razamat et al., Gapped Chiral Fermions
  Phys. Rev. X 11, 011063 (2021) [Crossref]
• Córdova et al., Decorated Z2 symmetry defects and their time-reversal anomalies
  Phys. Rev. D 102, 045019 (2020) [Crossref]
• Debray et al., What Bordism-Theoretic Anomaly Cancellation Can Do for U
  Commun. Math. Phys. 405, 154 (2024) [Crossref]
• Prakash et al., Unwinding fermionic symmetry-protected topological phases: Supersymmetry extension
  Phys. Rev. B 103, 085130 (2021) [Crossref]
• Cvetič et al., Reflections on the matter of 3DN=1vacua and localSpin(7)compactifications
  Phys. Rev. D 105, 026008 (2022) [Crossref]
• Yonekura, Constraints on the topology of Type IIB string theory
  J. High Energ. Phys. 2024, 112 (2024) [Crossref]
• Montero et al., New supersymmetric string theories from discrete theta angles
  J. High Energ. Phys. 2023, 91 (2023) [Crossref]
• Baume et al., Treelike structure of symmetry topological field theories and multisector QFTs
  Phys. Rev. D 109, 106013 (2024) [Crossref]
• Fukuda et al., Witten effect, anomaly inflow, and charge teleportation
  J. High Energ. Phys. 2021, 119 (2021) [Crossref]
• Dierigl et al., IIB string theory explored: Reflection 7-branes
  Phys. Rev. D 107, 086015 (2023) [Crossref]
• Yonekura, Heterotic global anomalies and torsion Witten index
  J. High Energ. Phys. 2022, 114 (2022) [Crossref]
• Davighi et al., Anomalies of non-Abelian finite groups via cobordism
  J. High Energ. Phys. 2022, 147 (2022) [Crossref]
• Heckman et al., Top down approach to topological duality defects
  Phys. Rev. D 108, 046015 (2023) [Crossref]
• Heckman et al., S -folds, string junctions, and 4D N=2 SCFTs
  Phys. Rev. D 103, 086013 (2021) [Crossref]
• Wang et al., Cobordism and deformation class of the standard model
  Phys. Rev. D 106, L041701 (2022) [Crossref]
• Davighi et al., The algebra of anomaly interplay
  SciPost Phys. 10, 074 (2021) [Crossref]
• Kaidi et al., Topological superconductors on superstring worldsheets
  SciPost Phys. 9, 010 (2020) [Crossref]
• Kaidi et al., Classification of String Theories via Topological Phases
  Phys. Rev. Lett. 124, 121601 (2020) [Crossref]
• Wang, Unified model beyond grand unification
  Phys. Rev. D 103, 105024 (2021) [Crossref]
• Onogi et al., Comments on the Atiyah-Patodi-Singer index theorem, domain wall, and Berry phase
  J. High Energ. Phys. 2021, 96 (2021) [Crossref]
• Fukaya et al., Mod-two APS index and domain-wall fermion
  Lett Math Phys 112, 16 (2022) [Crossref]
• Cheng et al., Flat F-theory and friends
  J. High Energ. Phys. 2024, 27 (2024) [Crossref]
• Dierigl et al., R7-branes as charge conjugation operators
  Phys. Rev. D 109, 046004 (2024) [Crossref]
• Kobayashi et al., The Atiyah–Patodi–Singer index theorem from the axial anomaly
  2021, 073B01 (2021) [Crossref]
• Heidenreich et al., Chern-Weil global symmetries and how quantum gravity avoids them
  J. High Energ. Phys. 2021, 53 (2021) [Crossref]
• Hsieh et al., Anomaly Inflow and p-Form Gauge Theories
  Commun. Math. Phys. 391, 495 (2022) [Crossref]