Exotic prepotentials from D(-1)D7 dynamics
Francesco Fucito, Jose F. Morales, Rubik Poghossian
TL;DR
This paper calculates the partition functions of D(-1)D7 systems to understand exotic instantons in eight-dimensional SO(N) gauge theories, revealing relations similar to Seiberg-Witten theory and exploring implications for four-dimensional theories.
Contribution
It provides the first detailed computation of exotic instanton effects in D(-1)D7 systems and derives the associated prepotentials and correlators using localization methods.
Findings
Partition functions computed for D(-1)D7 systems.
Prepotentials satisfy Matone-type relations.
Connections made to four-dimensional SO(N) gauge theories.
Abstract
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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