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High Energy Physics - Theory

arXiv:1805.02772 (hep-th)
[Submitted on 7 May 2018 (v1), last revised 3 Oct 2019 (this version, v2)]

Title:Why are fractional charges of orientifolds compatible with Dirac quantization?

Authors:Yuji Tachikawa, Kazuya Yonekura
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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 $GL(2,\mathbb{Z})$.
Comments: 34 pages, v2: minor improvements, including the clarification that we treat O+ planes in this paper
Subjects: High Energy Physics - Theory (hep-th)
Report number: IPMU-18-0067
Cite as: arXiv:1805.02772 [hep-th]
  (or arXiv:1805.02772v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.02772
Journal reference: SciPost Phys. 7, 058 (2019)
Related DOI: https://doi.org/10.21468/SciPostPhys.7.5.058

Submission history

From: Yuji Tachikawa [view email]
[v1] Mon, 7 May 2018 22:46:52 UTC (68 KB)
[v2] Thu, 3 Oct 2019 03:50:02 UTC (71 KB)
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