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Nuclear Physics B
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Nuclear Physics B
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https://dx.doi.org/10.48550/ar...
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The effective prepotential of N = 2 supersymmetric SU(N) gauge theories

The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories
Authors: Igor Krichever; Igor Krichever; Eric D’Hoker; Eric D’Hoker; Duong H. Phong;

The effective prepotential of N = 2 supersymmetric SU(N) gauge theories

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.

34 pages, Plain TeX, no macros needed, no figures

Keywords

High Energy Physics - Theory, exact solution, nonrenormalization theorems, FOS: Physical sciences, Wilson effective Lagrangian, Yang-Mills and other gauge theories in quantum field theory, model independence, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, monodromy transformations, Elliptic curves, logarithmic singularities, integrability conditions, spectral curves

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    87
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
87
Top 10%
Top 10%
Top 10%
Green
gold