High Energy Theory Seminar
Meeting ID: 924 0247 2179
I will explain the recent physically motivated construction of Ricci-flat K3 metrics in 2006.02435, which gives the first examples of Ricci-flat metrics on compact non-toroidal Calabi-Yau manifolds. I will also relate it — both physically and mathematically — to a second such construction, which is as yet not completely explicit: the missing data is the BPS index of a little string theory on T^2. In particular, I will show that these discrete invariants may be extracted from the metrics produced by the first approach.