Taming triangulation dependence of <i>T</i><SUP>6</SUP>/Z<sub>2</sub> x Z<sub>2</sub> resolutions

Faraggi, AE ORCID: 0000-0001-7123-6414, Nibbelink, S Groot and Heredia, M Hurtado
(2022) Taming triangulation dependence of <i>T</i><SUP>6</SUP>/Z<sub>2</sub> x Z<sub>2</sub> resolutions. JOURNAL OF HIGH ENERGY PHYSICS, 2022 (1).

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Resolutions of certain toroidal orbifolds, like T6/Z2xZ2, are far from unique, due to triangulation dependence of their resolved local singularities. This leads to an explosion of the number of topologically distinct smooth geometries associated to a single orbifold. By introducing a parameterisation to keep track of the triangulations used at all resolved singularities simultaneously, (self-)intersection numbers and integrated Chern classes can be determined for any triangulation configuration. Using this method the consistency conditions of line bundle models and the resulting chiral spectra can be worked out for any choice of triangulation. Moreover, by superimposing the Bianchi identities for all triangulation options much simpler though stronger conditions are uncovered. When these are satisfied, flop--transitions between all different triangulations are admissible. Various methods are exemplified by a number of concrete models on resolutions of the T6/Z2xZ2 orbifold.

Item Type: Article
Additional Information: 1+32 pages LaTeX, 1 figure and 11 tables, minor typo corrected
Uncontrolled Keywords: Differential and Algebraic Geometry, Supergravity Models, Superstring Vacua, Superstrings and Heterotic Strings
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 29 Nov 2021 09:00
Last Modified: 19 Oct 2023 09:32
DOI: 10.1007/JHEP01(2022)169
Open Access URL: https://link.springer.com/article/10.1007/JHEP01(2...
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3144072