On N=2 Supersymmetric QCD with 4 Flavors

Abstract

Seiberg and Witten's proposed solution of N=2 SQCD with N_c=2 and N_F=4 is known to conflict with instanton calculations in three distinct ways. Here we show how to resolve all three discrepancies, simply by reparametrizing the elliptic curve in terms of quantities ${\tau }_{eff}^0$ and $\tilde{u}$ rather than $\tau$ and $u=<Tr{A}^2>$. SL(2,Z) invariance of the curve is preserved. However, there is now an infinite ambiguity in the relation between ${\tau }_{eff}^0$ and $\tau$ and between $\tilde{u}$ and $u$, corresponding to an infinite number of unknown coefficients in the instanton expansion. Thus the reinterpreted curve (unlike the cases N_F<4) no longer determines the quantum modulus u as a function of the classical VEV a.

20 pp, uses harvmac.tex, reference added

References in corpus (10)

• The Effective Prepotential of N=2 Supersymmetric SU(N_c) Gauge Theories
• Multi-Instanton Calculus in N=2 Supersymmetric Gauge Theory II: Coupling to Matter
• Superconformal Ward Identities and N=2 Yang-Mills Theory
• Multi-Instanton Check of the Relation Between the Prepotential F and the Modulus u in N=2 SUSY Yang-Mills Theory
• Instanton Calculus and Nonperturbative Relations in N=2 Supersymmetric Gauge Theories
• A Two-Instanton Test of the Exact Solution of N=2 Supersymmetric QCD
• Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
• Multi-instanton calculus in N=2 supersymmetric QCD
• Multi-instanton calculus versus exact results in N=2 supersymmetric QCD
• One-instanton calculations in N=2 SU(Nc) Supersymmetric QCD

Cited by in corpus (49)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Direct Integration of the Topological String
• Integrability in QCD and beyond
• Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
• The Omega deformed B-model for rigid N=2 theories
• How instanton combinatorics solves Painlevé VI, V and III's
• Penner Type Matrix Model and Seiberg-Witten Theory
• Localized intersections of M5-branes and four-dimensional superconformal field theories
• Seiberg-Witten theory, matrix model and AGT relation
• Zamolodchikov asymptotic formula and instanton expansion in N=2 SUSY N_f=2N_c QCD
• Proving AGT relations in the large-c limit
• Quantization of Integrable Systems and a 2d/4d Duality
• Magnetic Mixing -- Electric Minicharges from Magnetic Monopoles
• A New 2d/4d Duality via Integrability
• On Mass-Deformed N=4 Supersymmetric Yang-Mills Theory
• The Instanton Hunter's Guide to Supersymmetric SU(N) Gauge Theories
• Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• The dyon spectra of finite gauge theories
• Instantons, Three Dimensional Gauge Theories and Monopole Moduli Spaces
• Supersymmetry and the Multi-Instanton Measure
• High Energy QCD: Stringy Picture from Hidden Integrability
• The Coulomb Branch of N=2 Supersymmetric Product Group Theories from Branes
• On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Supersymmetry and the Multi-Instanton Measure II: From N=4 to N=0
• Non-holomorphic Corrections from Threebranes in F Theory
• Quantum periods and prepotential in $\mathcal{N}=2$ SU(2) SQCD
• Heterotic/type I duality, D-instantons and an N=2 AdS/CFT correspondence
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• S-duality, triangle groups and modular anomalies in N=2 SQCD
• Duality Symmetries for N=2 Supersymmetric QCD with Vanishing beta-Functions
• Four flavours, triality and bimodular forms
• On metastable vacua in perturbed N=2 theories
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• A reduced BPS index of E-strings
• Higher Derivative Terms from Threebranes in F Theory
• Twistor Strings with Flavour
• Duality Symmetry in Softly Broken N=2 Gauge Theories
• Large R-charge EFT correlators in N=2 SQCD
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models
• Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• One-instanton test of the exact prepotential for N=2 SQCD coupled to a symmetric tensor hypermultiplet
• Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories
• Threebranes in F-theory