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Gauge theory in dimension $7$
calibrations elliptic boundary problems on manifolds G2–manifolds
2011/3/1
We first review the notion of a G2–manifold, defined in terms of a principal G2 (“gauge”)
bundle over a 7–dimensional manifold, before discussing their relation to supergravity. In a
second thread, ...
Double quiver gauge theory and nearly Kahler flux compactifications
Double quiver gauge theory nearly Kahler flux compactifications
2010/12/15
We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds
of the form M × G/H where M is a smooth manifold, and G/H is a compact six-dimensional
homogeneous spac...
A note on the boundary contribution with bad deformation in gauge theory
BCFW recursion relation gauge field theory boundary contribution
2018/4/19
Motivated by recently progresses in the study of BCFW recursion relation with nonzero bound-ary contributions for theories with scalars and fermions[1], in this short note we continue the study of bou...
Casson's invariant and Seiberg-Witten gauge theory
Casson's invariant Seiberg-Witten gauge theory
2010/3/5
In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its S...
In the following we show that a Stein filling S of the 3-torus T3 is homeomorphic to D2 \times T2. In the proof we also show that if S is Stein and \partial S is diffeomorphic to the Seifert fibered 3...