☆ 4.4 Article

Tops as building blocks for G2 manifolds

JOURNAL OF HIGH ENERGY PHYSICS (2017)

期刊

JOURNAL OF HIGH ENERGY PHYSICS

卷 -, 期 10, 页码 -

出版社

SPRINGER

DOI: 10.1007/JHEP10(2017)083

关键词

Differential and Algebraic Geometry; M-Theory; Superstring Vacua

类别

Physics, Particles & Fields

资金

STFC [ST/L000474/1]
EPSCR [EP/J010790/1]
National Science Foundation [PHY-1066293]
EPSRC [EP/J010790/1] Funding Source: UKRI
STFC [ST/L000474/1, ST/P000770/1] Funding Source: UKRI
Science and Technology Facilities Council [ST/P000770/1, ST/L000474/1] Funding Source: researchfish

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摘要

A large number of examples of compact G(2) manifolds, relevant to supersymmetric compactifications of M-Theory to four dimensions, can be constructed by forming a twisted connected sum of two building blocks times a circle. These building blocks, which are appropriate K3-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. In particular, this enables us to prove combinatorial formulas for the Hodge numbers and other relevant topological data.

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