Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-04-01
Nucl.Phys. B536 (1998) 69-109
Physics
High Energy Physics
High Energy Physics - Theory
46 pages, uses harvmac. One citation modified
Scientific paper
10.1016/S0550-3213(98)00579-3
We present a compendium of results for ADHM multi-instantons in SU(N) SUSY gauge theories, followed by applications to N=2 supersymmetric models. Extending recent SU(2) work, and treating the N=1 and N=2 cases in parallel, we construct: (i) the ADHM supermultiplet, (ii) the multi-instanton action, and (iii) the collective coordinate integration measure. Specializing to N=2, we then give a closed formula for F_k, the k-instanton contribution to the prepotential, as a finite-dimensional collective coordinate integral. This amounts to a weak-coupling solution, in quadratures, of the low-energy dynamics of N=2 SQCD, without appeal to duality. As an application, we calculate F_1 for all SU(N) and any number of flavors N_F; for N_F<2N-2 and N_F=2N-1 we confirm previous instanton calculations and agree with the proposed hyper-elliptic curve solutions. For N_F=2N-2 and N_F=2N with N>3 we obtain new results, which in the latter case we do not understand how to reconcile with the curves.
Khoze Valentin V.
Mattis Michael P.
Slater Matthew J.
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