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Yang-Hui He (London): Calabi-Yau Volumes and Reflexive Polytopes

Tuesday, 23. May 2017, 14:15

Location:  Erwin-Schrödinger-Hörsaal , Boltzmanngasse 5, 5. Stock

We study various geometrical quantities for Calabi-Yau varieties realized as cones over Gorenstein Fano varieties, obtained as toric varieties from reflexive polytopes in various dimensions. We concentrate on reflexive polytopes up to dimension 4 and calculate the minimized volume of the Sasaki-Einstein base of the corresponding Calabi-Yau cone.
By doing so we conjecture new bounds for the Sasaki-Einstein volume with respect to many topological quantities of the corresponding toric varieties. We give interpretations about these volume bounds in the context of associated field theories via the AdS/CFT correspondence. Based on joint work with R.-K. Seong and S.-T. Yau.

Faculty of Physics
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