City Research Online

Calabi-Yau Volumes and Reflexive Polytopes

[error in script] (2018). Calabi-Yau Volumes and Reflexive Polytopes. Communications in Mathematical Physics, 361(1), pp. 155-204. doi: 10.1007/s00220-018-3128-6

Abstract

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. Focus is made on reflexive polytopes up to dimension 4 and the minimized volumes of the Sasaki–Einstein base of the corresponding Calabi–Yau cone are calculated. By doing so, we conjecture new bounds for the Sasaki–Einstein volume with respect to various 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.

Publication Type: Article
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/20182
[img]
Preview
Text - Published Version
Available under License Creative Commons: Attribution International Public License 4.0.

Download (2MB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login