Self-dual non-Abelian vector multiplet in three dimensions

Couplings of Self-dual Tensor Multiplet in Six Dimensions

The (1, 0) supersymmetry in six dimensions admits a tensor multiplet which contains a secondrank antisymmetric tensor field with a self-dual field strength and a dilaton. We describe the fully supersymmetric coupling of this multiplet to Yang-Mills multiplet, in the absence of supergravity. The self-duality equation for the tensor field involves a Chern-Simons modified field strength, the gauge...

Non-abelian Tensor-multiplet Anomalies

We use the anomaly cancellation of the M-theory fivebrane to derive the R-symmetry anomalies of the AN (0, 2) tensor-multiplet theories. This result leads to a simple derivation of black hole entropy in d = 4,N = 2 compactifications of M -theory. We also show how the formalism of normal bundle anomaly cancellation clarifies the Kaluza-Klein origin of Chern-Simons terms in gauged supergravity th...

Abelian versus Non-Abelian Higgs Model in Three Dimensions

We study the phase structure of the abelian Higgs model in three dimensions based on perturbation theory and a set of gauge independent gap equations for Higgs boson and vector boson masses. Contrary to the non-abelian Higgs model, the vector boson mass vanishes in the symmetric phase. In the Higgs phase the gap equations yield masses consistent with perturbation theory. The phase transition is...

A Dual Non-abelian Yang-mills Amplitude in Four Dimensions

Since their inception in the early 1970’s, quantum field theories formulated on the lattice have been mapped to dual theories — models mathematically equivalent to the original formulation, but with different degrees of freedom. In many cases, configurations in the dual model can be interpreted as extended geometric structures such as closed sheets or self-avoiding polymers living on the space-...

Non - Abelian “ Self - Dual ” Massive Gauge Theory in 2 + 1 Dimensions