Why are fractional charges of orientifolds compatible with Dirac quantization?
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....
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2019-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.7.5.058 |
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doaj-21ea58e56f3d4093a5ab0795b118cfd32020-11-25T02:42:38ZengSciPostSciPost Physics2542-46532019-11-017505810.21468/SciPostPhys.7.5.058Why are fractional charges of orientifolds compatible with Dirac quantization?Yuji Tachikawa, Kazuya YonekuraOrientifold $p$-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 $GL(2,\mathbb{Z})$.https://scipost.org/SciPostPhys.7.5.058 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuji Tachikawa, Kazuya Yonekura |
| spellingShingle |
Yuji Tachikawa, Kazuya Yonekura Why are fractional charges of orientifolds compatible with Dirac quantization? SciPost Physics |
| author_facet |
Yuji Tachikawa, Kazuya Yonekura |
| author_sort |
Yuji Tachikawa, Kazuya Yonekura |
| title |
Why are fractional charges of orientifolds compatible with Dirac quantization? |
| title_short |
Why are fractional charges of orientifolds compatible with Dirac quantization? |
| title_full |
Why are fractional charges of orientifolds compatible with Dirac quantization? |
| title_fullStr |
Why are fractional charges of orientifolds compatible with Dirac quantization? |
| title_full_unstemmed |
Why are fractional charges of orientifolds compatible with Dirac quantization? |
| title_sort |
why are fractional charges of orientifolds compatible with dirac quantization? |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2019-11-01 |
| description |
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 $GL(2,\mathbb{Z})$. |
| url |
https://scipost.org/SciPostPhys.7.5.058 |
| work_keys_str_mv |
AT yujitachikawakazuyayonekura whyarefractionalchargesoforientifoldscompatiblewithdiracquantization |
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