Title: SPECIAL GEOMETRY ON CALABI–YAU MODULI SPACES AND <i>Q</i>-INVARIANT MILNOR RINGS
Abstract:Proceedings of the International Congress of Mathematicians (ICM 2018), pp. 2567-2580 (2019) No AccessSPECIAL GEOMETRY ON CALABI–YAU MODULI SPACES AND Q-INVARIANT MILNOR RINGSALEXANDER BELAVINALEXANDE...Proceedings of the International Congress of Mathematicians (ICM 2018), pp. 2567-2580 (2019) No AccessSPECIAL GEOMETRY ON CALABI–YAU MODULI SPACES AND Q-INVARIANT MILNOR RINGSALEXANDER BELAVINALEXANDER BELAVINL.D. LANDAU INSTITUTE FOR THEORETICAL PHYSICS, AKADEMIKA SEMENOVA AV. 1-A, CHERNOGOLOVKA, 142432 MOSCOW, RUSSIAhttps://doi.org/10.1142/9789813272880_0150Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: The moduli spaces of Calabi–Yau (CY) manifolds are the special Kähler manifolds. The special Kähler geometry determines the low-energy effective theory which arises in Superstring theory after the compactification on a CY manifold. For the cases, where the CY manifold is given as a hypersurface in the weighted projective space, a new procedure for computing the Kähler potential of the moduli space has been proposed by Konstantin Aleshkin and myself. The method is based on the fact that the moduli space of CY manifolds is a marginal subspace of the Frobenius manifold which arises on the deformation space of the corresponding Landau–Ginzburg superpotential. I review this approach and demonstrate its efficiency by computing the Special geometry of the 101-dimensional moduli space of the quintic threefold around the orbifold point. MSC2010: 32Q25 FiguresReferencesRelatedDetails Proceedings of the International Congress of Mathematicians (ICM 2018)Metrics History PDF downloadRead More