| Speaker: | Kazuya Yonekura (Tohoku U) |
|---|---|
| Title: | Constraints on the topology of Type IIB string theory |
| Date (JST): | Tue, Jun 18, 2024, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: | 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. |
