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NCTS Differential Geometry Seminar
16:00 - 17:00, November 23, 2017 (Thursday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Kovalev's Twisted Connected Sum G2-manifolds
Hung-Yu Yeh (Academia Sinica)


In physics, M-theory compactifications on seven-dimensional manifolds with G2 holonomy offer the opportunity to geometrically study the properties of N = 1 effective theories in a setting that is non-perturbative from the superstring point of view. For a long time there were only about a hundred examples of G2-manifolds constructed by the resolution of special orbifolds of seven dimensional torus. In this talk I will introduce a new construction of G2-manifolds proposed by Kovalev, and determine the Hitchin functional, the universal (semi-classical) Kahler potential of the effective N = 1 supergravity action, as a function of the Kovalevton and the volume modulus of the G2-manifold.


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