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High Energy Physics - Theory

arXiv:2111.10407 (hep-th)
[Submitted on 19 Nov 2021 (v1), last revised 19 Jan 2022 (this version, v2)]

Title:Taming Triangulation Dependence of T6/Z2xZ2 Resolutions

Authors:A.E. Faraggi, S. Groot Nibbelink, M. Hurtado-Heredia
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Abstract: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.
Comments: 1+32 pages LaTeX, 1 figure and 11 tables, minor typo corrected
Subjects: High Energy Physics - Theory (hep-th)
Report number: LTH-1269
Cite as: arXiv:2111.10407 [hep-th]
  (or arXiv:2111.10407v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.10407
Related DOI: https://doi.org/10.1007/JHEP01%282022%29169

Submission history

From: Stefan Groot Nibbelink [view email]
[v1] Fri, 19 Nov 2021 19:34:57 UTC (48 KB)
[v2] Wed, 19 Jan 2022 18:17:35 UTC (47 KB)
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