ar X iv : h ep - p h / 98 05 45 3 v 2 3 J un 1 99 8 General Gauge Field Theory

ar X iv : h ep - t h / 98 05 05 4 v 1 1 1 M ay 1 99 8 Bogomol ’ nyi Bounds and the Supersymmetric Born - Infeld Theory

We study N = 2 supersymmetric Born-Infeld-Higgs theory in 3 dimensions and derive Bogomol’nyi relations in its bosonic sector. A peculiar coupling between the Higgs and the gauge field (with dynamics determined by the Born-Infeld action) is forced by supersymmetry. The resulting equations coincide with those arising in the MaxwellHiggs model. Concerning Bogomol’nyi bounds for the vortex energy,...

ar X iv : h ep - t h / 98 12 05 3 v 1 7 D ec 1 99 8 The M five

The D-3 brane is examined form the point of view of the wrapped M-theory five brane on a torus. In particular, the S-dual versions of the 3-brane are identified as coming from the different gauge choices of the auxiliary field that is introduced in the PST description of the five brane world volume theory.

ar X iv : h ep - p h / 98 05 30 4 v 1 1 3 M ay 1 99 8 Λ b → Λ c P ( V ) Nonleptonic Weak Decays

ar X iv : h ep - t h / 98 05 20 4 v 1 2 8 M ay 1 99 8 Derivative expansion and large gauge invariance at finite temperature

We study the 0+1 dimensional Chern-Simons theory at finite temperature within the framework of derivative expansion. We obtain various interesting relations, solve the theory within this framework and argue that the derivative expansion is not a suitable formalism for a study of the question of large gauge invariance.

ar X iv : h ep - p h / 97 05 45 5 v 1 2 8 M ay 1 99 7 LECTURE 1 Spectral Fluctuations of the QCD Dirac Operator