High Energy Physics Vol 1 Edited by E H S Burhop (Pure and Applied Physics; a Series of Monographs and Textbooks Vol 25) Pp xi + 499 (New York: Academic Press, Inc; London: Academic Press, Inc (London), Ltd, 1967) 176s

High Energy Physics

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory is mapped to a tree level breaking in the type II string which can be explicitly calculated by geometric methods. It is argued that the instanton corrections resurrect the no-go theorem on partial supersymmetry breaking. The point particle limit describes the non-perturbative scalar potential of a SYM theory localized on a hypersurface of space-time. The N=0 vacuum displays condensation of magnetic monopoles and confinement. The supersymmetry breaking scale is determined by $M_{str}$, which can be in the TeV range, and the geometry transverse to the gauge theory.

On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds

We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review hot it can be re-derived from string duality.

Introduction to Seiberg-Witten Theory and its Stringy Origin

Non-perturbative dynamics in supersymmetric gauge theories

Spontaneous n = 2 n = 1 local supersymmetry breaking with surviving compact gauge groups

We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. We present the formalism for an arbitrary gauge group and obtain an exact expression for the effective potential. We describe in detail the onset of the confinement description and the vacuum structure for the pure $SU(2)$ Yang-Mills case and also some general features in the $SU(N)$ case. A general mass formula is obtained, as well as explicit results for the mass spectrum in the $SU(2)$ case.

http://inspirehep.net/record/420096/files/arXiv:hep-th_9606168.pdf

Luis Alvarez-Gaume

Papers

Softly broken N=2 QCD

Softly broken N=2 QCD