Branes and gauge theories dynamics

January 23 -30 2001

Institut Henri Poincare

Aminay Hanany (MIT/IHP)

The content of the lectures can be found in

TYPE IIB SUPERSTRINGS, BPS MONOPOLES, AND THREE-DIMENSIONALGAUGE DYNAMICS by A. Hanany and E. Witten

hep-th/9611230

SOLUTIONS OF FOUR-DIMENSIONAL FIELD THEORIES VIA M-THEORY by E. Witten

hep-th/9703166

Part 3 of BRANES, SUPERPOTENTIALS AND SUPERCONFORMAL FIXED POINTS by O. Aharony and A. Hanany

hep-th/9704170

Part 2 of WEBS OF (P,Q) 5-BRANES, FIVE DIMENSIONAL FIELD THEORIES AND GRID DIAGRAMS by O. Aharony and A. Hanany

hep-th/97101166

Lecture 1 GAUGE THEORIES WITH 8 SUPERCHARGES

IN 3 DIMENSIONS

• Branes ending on branes

• Supersymmetric configurations

• Boundary conditions for branes ending on branes

• Light moduli

• Construction of gauge theories

• Monopoles of 3d gauge theories

• Brane creation

• Higgs and Coulomb branches

• S-configurations

• Mirror symmetry in 3d

Lectures 2, 3.. EXTENSIONS TO 4, 5 AND 6 DIMENSIONS