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- W2061301291 abstract "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 $G_{alphabetagamma}$ and graviphoton field strength $F_{alphabeta}$. 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 $G_{alphabetagamma}$ and $F_{alphabeta}$ 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 $F_{alphabeta}$, 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." @default.
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- W2061301291 date "2004-06-24" @default.
- W2061301291 modified "2023-09-30" @default.
- W2061301291 title "PartialN=2 toN=1 supersymmetry breaking and gravity deformed chiral rings." @default.
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- W2061301291 doi "https://doi.org/10.1088/1126-6708/2004/06/041" @default.
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