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Exotic prepotentials from D(-1)D7 dynamics

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arxiv 0906.3802 v1 pith:SCDTOF5C submitted 2009-06-20 hep-th

Exotic prepotentials from D(-1)D7 dynamics

classification hep-th
keywords exoticdimensionsdynamicsgaugeprepotentialstheoriesanalogycalled
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the partition functions of D(-1)D7 systems describing the multi-instanton dynamics of SO(N) gauge theories in eight dimensions. This is the simplest instance of the so called exotic instantons. In analogy with the Seiberg-Witten theory in four space-time dimensions, the prepotential and correlators in the chiral ring are derived via localization formulas and found to satisfy relations of the Matone type. Exotic prepotentials of SO(N) gauge theories with N=2 supersymmetries in four-dimensions are also discussed.

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