Quaternion-Kahler moduli spaces from Calabi-Yau threefolds
Event details
| Date | 17.04.2013 |
| Hour | 14:15 › 16:00 |
| Speaker | Boris Pioline, CERN and CRNS |
| Location | |
| Category | Conferences - Seminars |
Classical mirror symmetry identifies the complex structure moduli space $M(X)$ of a Calabi-Yau 3-fold $X$ with the complexified Kahler moduli space $\hat M(\hat X)$ of a dual Calabi-Yau threefold $\hat X$. String theory predicts that the equivalence $M(X)=\hat M(\hat X)$ extends to an equivalence $QK(X)=\widehat{QK}(\hat X)$ between two non-compact quaternion-Kahler moduli spaces which encode, on top of the aforementioned complex/Kahler structures, the full set of generalized Donaldson-Thomas invariants counting special Lagrangian 3-cycles on $X$ vs. semi-stable coherent sheaves on $\hat X$. In addition, it predicts that these spaces admit an isometric action of the modular group $SL(2,Z)$, putting a powerful constraint on the DT invariants. I will review recent progress in constructing these QK moduli spaces (or rather their twistor spaces), in the vicinity a certain 'small coupling' boundary. The input from string theory will be
minimal.
Ref: "Quantum hypermultiplet moduli spaces in N=2 string vacua: a review",
by S. Alexandrov, J. Manschot, D. Persson, B. Pioline
Proceedings of String Math 2012 [arXiv:1304.0766]
minimal.
Ref: "Quantum hypermultiplet moduli spaces in N=2 string vacua: a review",
by S. Alexandrov, J. Manschot, D. Persson, B. Pioline
Proceedings of String Math 2012 [arXiv:1304.0766]
Practical information
- General public
- Free