The partition bundle of type AN-1 (2, 0) theory
Artikel i vetenskaplig tidskrift, 2011

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.

Duality in Gauge Field Theories

Topological Field Theories

Field Theories in Higher Dimensions

Differential and Algebraic Geometry

Författare

Måns Henningson

Chalmers, Teknisk fysik, Elementarpartikelfysik

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Ämneskategorier

Subatomär fysik

Fundament

Grundläggande vetenskaper

DOI

10.1007/JHEP04(2011)090