Mathematics – Algebraic Geometry
Scientific paper
2001-06-15
C. R. Acad. Sci. Paris S\'er. I Math., 333 (4) (2001) 313-318
Mathematics
Algebraic Geometry
6 pages, in English with French summary, to appear in C. R. Acad. Sci. Paris Ser. I Math; acknowledgements and a reference add
Scientific paper
In this note we present pairs of hyperkaehler orbifolds which satisfy two different versions of mirror symmetry. On the one hand, we show that their Hodge numbers (or more precisely, stringy E-polynomials) are equal. On the other hand, we show that they satisfy the prescription of Strominger, Yau, and Zaslow (which in the present case goes back to Bershadsky, Johansen, Sadov and Vafa): that a Calabi-Yau and its mirror should fiber over the same real manifold, with special Lagrangian fibers which are tori dual to each other. Our examples arise as moduli spaces of local systems on a curve with structure group SL(n); the mirror is the corresponding space with structure group PGL(n). The special Lagrangian tori come from an algebraically completely integrable Hamiltonian system: the Hitchin system.
Hausel Tamas
Thaddeus Michael
No associations
LandOfFree
Examples of mirror partners arising from integrable systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Examples of mirror partners arising from integrable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Examples of mirror partners arising from integrable systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-698947