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The Effective Prepotential of N=2 Supersymmetric SU(N_c) Gauge Theories
High Energy Physics - Theory · Submitted 4 Sep 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We determine the effective prepotential for N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number of flavors N_f < 2N_c, from the exact solution constructed out of spectral curves.
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The abstract, sentence by sentence
We determine the effective prepotential for N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number of flavors N_f < 2N_c, from the exact solution constructed out of spectral curves. The prepotential is the same for the several models of spectral curves proposed in the literature. It has to all orders the logarithmic singularities of the one-loop perturbative corrections, thus confirming the non-renormalization theorems from supersymmetry. In particular, the renormalized order parameters and their duals have all the correct monodromy transformations prescribed at weak coupling. We evaluate explicitly the contributions of one- and two-instanton processes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We determine the effective prepotential for N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number of flavors N_f < 2N_c, from the exact solution constructed out of spectral curves. | contribution 0.94 | 0.96 | 0.75 | asserted 1.00 |
| s1 | The prepotential is the same for the several models of spectral curves proposed in the literature. | result 0.96 | 0.63 | 0.16 | asserted 1.00 |
| s2 | It has to all orders the logarithmic singularities of the one-loop perturbative corrections, thus confirming the non-renormalization theorems from supersymmetry. | interpretation 0.57 | 0.76 | 0.17 | asserted 1.00 |
| s3 | In particular, the renormalized order parameters and their duals have all the correct monodromy transformations prescribed at weak coupling. | result 0.93 | 0.75 | 0.10 | asserted 1.00 |
| s4 | We evaluate explicitly the contributions of one- and two-instanton processes. | contribution 0.78 | 0.96 | 0.09 | asserted 1.00 |
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Original abstract
We determine the effective prepotential for N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number of flavors N_f < 2N_c, from the exact solution constructed out of spectral curves. The prepotential is the same for the several models of spectral curves proposed in the literature. It has to all orders the logarithmic singularities of the one-loop perturbative corrections, thus confirming the non-renormalization theorems from supersymmetry. In particular, the renormalized order parameters and their duals have all the correct monodromy transformations prescribed at weak coupling. We evaluate explicitly the contributions of one- and two-instanton processes.
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8 arXiv papers cite this in 8 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 2 papers
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The list of papers which discuss subjects closely related to that of this subsection include [ref] .
Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models · curves, periods and meromorphic differentials · 1.00
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Just restricting our attention to the $SU(2)$ case, a partial list includes [ref] .
Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type · Introduction · 1.00
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