Central charge and topological invariant of Calabi-Yau manifolds.

Authors

  • T. V. Obikhod Institute for Nuclear Research, National Academy of Science of Ukraine

DOI:

https://doi.org/10.31558/1817-2237.2019.1-2.8

Keywords:

super-symmetry algebra, central charge, noncompact manifolds, orbifold points, coherent sheaves, Euler characteristic

Abstract

F-theory, as a 12-dimensional theory that is a contender of the Theory of Everything, should be compactified into elliptically fibered threefolds or fourfolds of Calabi-Yau. Such manifolds have an elliptic curve as a fiber, and their bases may have singularities. We considered orbifold as simplest non-flat construction. Blow up modes of orbifold singularities can be considered as coordinates of complexified Kahler moduli space.

References

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Mathematics