Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-10-04
Class.Quant.Grav.11:785-848,1994
Physics
High Energy Physics
High Energy Physics - Theory
plain Latex, 77 pages, SISSA/151/93/EP
Scientific paper
10.1088/0264-9381/11/4/005
We consider N=2 and N=4 supersymmetric gauge theories in two-dimensions, coupled to matter multiplets. In analogy with the N=2 case also in the N=4 case one can introduce Fayet-Iliopoulos terms.The associated three-parameters have the meaning of momentum-map levels in a HyperK\"ahler quotient construction. Differently from the N=2 case, however, the N=4 has a single phase corresponding to an effective $\sigma$-model. There is no Landau-Ginzburg phase. The main possible application of our N=4 model is to an effective Lagrangian construction of a $\sigma$-model on ALE-manifolds. We discuss the A and B topological twists of these models clarifying some issues not yet discussed in the literature, in particular the identification of the topological systems emerging from the twist. Applying our results to the case of ALE-manifolds we indicate how one can use the topologically twisted theories to study the K\"ahler class and complex structure deformations of these gravitational instantons.
Billo' Marco
Fre' Pietro
No associations
LandOfFree
N=4 Versus N=2 Phases, HyperkÄhler Quotients and the 2D Topological Twist does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with N=4 Versus N=2 Phases, HyperkÄhler Quotients and the 2D Topological Twist, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N=4 Versus N=2 Phases, HyperkÄhler Quotients and the 2D Topological Twist will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-289299