Constraints on the topology of Type IIB string theory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910356139409408 |
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| author | Yonekura, Kazuya |
| author_facet | Yonekura, Kazuya |
| contents | We discuss some topological constraints on Type IIB string theory that cannot be described by elementary characteristic classes. Anomaly cancellation of the worldvolume theory of a D3-brane requires a shifted Dirac quantization condition of the Ramond-Ramond 5-form flux. However, the required shift is sometimes inconsistent depending on the topology of spacetime backgrounds. The obstruction to the existence of a shifted quantization is described by a degree-6 cohomology class whose definition involves spin structure of spacetime manifolds. The cohomology class is interpreted as a background D3-charge, and the Gauss law constraint requires inclusion of additional D3-branes to cancel it. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_04127 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraints on the topology of Type IIB string theory Yonekura, Kazuya High Energy Physics - Theory We discuss some topological constraints on Type IIB string theory that cannot be described by elementary characteristic classes. Anomaly cancellation of the worldvolume theory of a D3-brane requires a shifted Dirac quantization condition of the Ramond-Ramond 5-form flux. However, the required shift is sometimes inconsistent depending on the topology of spacetime backgrounds. The obstruction to the existence of a shifted quantization is described by a degree-6 cohomology class whose definition involves spin structure of spacetime manifolds. The cohomology class is interpreted as a background D3-charge, and the Gauss law constraint requires inclusion of additional D3-branes to cancel it. |
| title | Constraints on the topology of Type IIB string theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.04127 |