Partial N = 2 ---> N = 1 supersymmetry breaking and gravity deformed chiral rings

David, Justin R ; Gava, Edi ; Narain, K . S (2004) Partial N = 2 ---> N = 1 supersymmetry breaking and gravity deformed chiral rings Journal of High Energy Physics, 2004 (06). 041-041. ISSN 1029-8479

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We present a derivation of the chiral ring relations, arising in Script N = 1 gauge theories in the presence of (anti-)self-dual background gravitational field Gαβγ and graviphoton field strength Fαβ. 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 Script N = 2 to Script N = 1 supergravity coupled to vector- and hyper-multiplets, and take a rigid limit which keeps a non-trivial Gαβγ and Fαβ with a finite supersymmetry breaking scale. We derive the resulting effective, global, Script N = 1 theory and show that the chiral ring relations are just a consequence of the standard Script 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 Fαβ, 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 Script N = 1 theory, should be derived from a prepotential, indicating an underlying Script N = 2 structure.

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ID Code:117054
Deposited On:14 Apr 2021 09:16
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