ar X iv : h ep - t h / 95 05 00 1 v 1 1 M ay 1 99 5 Interaction of instantons in a gauge theory forcing their identical orientation

ar X iv : h ep - t h / 95 05 05 9 v 1 1 0 M ay 1 99 5 orthochronous The Conformal Spin and Statistics Theorem

ar X iv : h ep - t h / 05 05 24 1 v 1 2 6 M ay 2 00 5 Gauge fixing and equivariant cohomology

The supersymmetric model developed by Witten [1] to study the equivariant cohomology of a manifold with an isometric circle action is derived from the brst quantization of a simple classical model. The gauge-fixing process is carefully analysed, and demonstrates that different choices of gauge-fixing fermion can lead to different quantum theories.

ar X iv : h ep - t h / 03 05 03 7 v 1 5 M ay 2 00 3 FORMS ON VECTOR BUNDLES OVER COMPACT REAL HYPERBOLIC MANIFOLDS

We study gauge theories based on abelian p− forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.

ar X iv : h ep - t h / 99 05 22 4 v 1 3 1 M ay 1 99 9 Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories ∗

We review new aspects of integrable systems discovered recently in N = 2 supersymmetric gauge theories and their topologically twisted versions. The main topics are (i) an explicit construction of Whitham deformations of the Seiberg-Witten curves for classical gauge groups, (ii) its application to contact terms in the u-plane integral of topologically twisted theories, and (iii) a connection be...

ar X iv : h ep - t h / 95 06 05 1 v 1 8 J un 1 99 5 June 1995 TAUP – 2253

We show that instantons violate a supersymmetric identity in a classically supersymmetric Higgs model with no massless fermions. This anomalous breaking arises because the correct perturbative expansion in the instanton sector is not supersymmetric. The attempt to construct a manifestly supersymmetric expansion generates infra-red divergences.