Tops as Building Blocks for G2 Manifolds
High Energy Physics - Theory
2017-10-16 v3 Algebraic Geometry
Abstract
A large number of examples of compact manifolds, relevant to supersymmetric compactifications of M-Theory to four dimensions, can be constructed by forming a twisted connected sum of two appropriate building blocks times a circle. These building blocks, which are appropriate -fibred threefolds, are shown to have a natural and elegant construction in terms of tops, which parallels the construction of Calabi-Yau manifolds via reflexive polytopes.
Cite
@article{arxiv.1602.03521,
title = {Tops as Building Blocks for G2 Manifolds},
author = {Andreas P. Braun},
journal= {arXiv preprint arXiv:1602.03521},
year = {2017}
}
Comments
43 pages, v2: typos corrected, improved discussion, references added, v3: reorganized and improved parts of the discussion, fixed typos