Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-20
Physics
High Energy Physics
High Energy Physics - Theory
15 pages. Minor changes, added references
Scientific paper
Six-dimensional (2, 0) theory can be defined on a large class of six-manifolds endowed with some additional topological and geometric data (i.e. an orientation, a spin structure, a conformal structure, and an R-symmetry bundle with connection). We discuss the nature of the object that generalizes the partition function of a more conventional quantum theory. This object takes its values in a certain complex vector space, which fits together into the total space of a complex vector bundle (the `partition bundle') as the data on the six-manifold is varied in its infinite-dimensional parameter space. In this context, an important role is played by the middle-dimensional intermediate Jacobian of the six-manifold endowed with some additional data (i.e. a symplectic structure, a quadratic form, and a complex structure). We define a certain hermitian vector bundle over this finite-dimensional parameter space. The partition bundle is then given by the pullback of the latter bundle by the map from the parameter space related to the six-manifold to the parameter space related to the intermediate Jacobian.
No associations
LandOfFree
The partition bundle of type A_{N-1} (2, 0) theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The partition bundle of type A_{N-1} (2, 0) theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The partition bundle of type A_{N-1} (2, 0) theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-453233