Higher Gauge Structures in Double and Exceptional Field Theory

Exceptional Deconfinement in G ( 2 ) Gauge Theory

The Z Z(N) center symmetry plays an important role in the deconfine-ment phase transition of SU(N) Yang-Mills theory at finite temperature. The exceptional group G(2) is the smallest simply connected gauge group with a trivial center. Hence, there is no symmetry reason why the low-and high-temperature regimes in G(2) Yang-Mills theory should be separated by a phase transition. Still, we present...

Loops in exceptional field theory

The gauge algebra of double field theory and Courant brackets

We investigate the symmetry algebra of the recently proposed field theory on a doubled torus that describes closed string modes on a torus with both momentum and winding. The gauge parameters are constrained fields on the doubled space and transform as vectors under Tduality. The gauge algebra defines a T-duality covariant bracket. For the case in which the parameters and fields are T-dual to o...

Higher Gauge Theory

Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (e.g. strings) using 2-connections on 2-bundles. A 2-bundle is a categorified version of a bundle: that is, one where the fiber is not a manifold but a category with a suitable smooth structure. Where gauge theory us...

Gauge Field Theory Models