Partial ${\cal N}=2 \to {\cal N}=1$ supersymmetry breaking and gravity deformed chiral rings

Details Partial ${\cal N}=2 \to {\cal N}=1$ supersymmetry breaking and gravity deformed chiral rings Partial ${\cal N}=2 \to {\cal N}=1$ supersymmetry breaking and gravity deformed chiral rings

2003-11-10

arxiv.org/abs/hep-th/0311086v2

JHEP 0406 (2004) 041

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, uses JHEP.cls;v2: typos corrected and references added

Scientific paper

10.1088/1126-6708/2004/06/041

We present a derivation of the chiral ring relations, arising in ${\cal N}=1$ gauge theories in the presence of (anti-)self-dual background gravitational field $G_{\alpha\beta\gamma}$ and graviphoton field strength $F_{\alpha\beta}$. These were previously considered in the literature in order to prove the relation between gravitational F-terms in the gauge theory and coefficients of the topological expansion of the related matrix integral. We consider the spontaneous breaking of ${\cal N} =2$ to ${\cal N} =1$ supergravity coupled to vector- and hyper-multiplets, and take a rigid limit which keeps a non-trivial $G_{\alpha\beta\gamma}$ and $F_{\alpha\beta}$ with a finite supersymmetry breaking scale. We derive the resulting effective, global, ${\cal N}=1$ theory and show that the chiral ring relations are just a consequence of the standard ${\cal N}=2$ supergravity Bianchi identities . We can also obtain models with matter in different representations and in particular quiver theories. We also show that, in the presence of non-trivial $F_{\alpha\beta}$, consistency of the Konishi-anomaly loop equations with the chiral ring relations, demands that the gauge kinetic function and the superpotential, a priori unrelated for an ${\cal N}=1$ theory, should be derived from a prepotential, indicating an underlying ${\cal N}=2$ structure.

Affiliated with

Also associated with

No associations

Rating

Partial ${\cal N}=2 \to {\cal N}=1$ supersymmetry breaking and gravity deformed chiral rings 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 Partial ${\cal N}=2 \to {\cal N}=1$ supersymmetry breaking and gravity deformed chiral rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partial ${\cal N}=2 \to {\cal N}=1$ supersymmetry breaking and gravity deformed chiral rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51105