Calabi-Yau Volumes and Reflexive Polytopes
He, Y-H. 
ORCID: 0000-0002-0787-8380, Seong, R-K. & Yau, S-T. (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 Science & Technology > Mathematics |
| SWORD Depositor: |
Available under License Creative Commons: Attribution International Public License 4.0.
Download (2MB) | Preview
Export
Downloads
Downloads per month over past year
Metadata
MetadataActions (login required)
Admin Login