Whitham hierarchies, instanton corrections and soft supersymmetry breaking in \(N=2\) \(\text{SU}(N)\) super Yang-Mills theory

DOI10.1016/S0550-3213(98)00798-6zbMath0947.81115arXivhep-th/9805172MaRDI QIDQ1571949

Javier Mas, Marcos Mariño, José D. Edelstein

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9805172

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (16)

Field theory interpretation of \( \mathcal{N} \) = 2 stringy instantons ⋮ WDVV equation and triple-product relation ⋮ RG-Whitham dynamics and complex Hamiltonian systems ⋮ Cubic curves from instanton counting ⋮ On supersymmetry breaking and the Dijkgraaf-Vafa conjecture ⋮ \(\mathcal N=2\) supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy. ⋮ A large \(N\) duality via a geometric transition ⋮ The Toda system and solution to the N = 2 SUSY Yang–Mills theory ⋮ Counting exceptional instantons ⋮ Instantons from blow-up ⋮ Donaldson-Witten functions of massless \(N=2\) supersymmetric QCD ⋮ Instanton recursion relations for the effective prepotential in \(N=2\) super-Yang-Mills ⋮ Instanton counting on blowup. I: 4-dimensional pure gauge theory ⋮ Singular phases of Seiberg-Witten integrable systems: weak and strong coupling ⋮ The \(N=2\) U\((N)\) gauge theory prepotential and periods from a perturbative matrix model calculation ⋮ tt∗ Toda equations for surface defects in SYM and instanton counting for classical Lie groups

Cites Work

• The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories
• Prepotential and the Seiberg-Witten theory
• Tata lectures on theta. III
• The renormalization group equation in \(N=2\) supersymmetric gauge theories
• Multiscale \(N=2\) SUSY field theories, integrable systems and their stringy/brane origin
• RG equations from Whitham hierarchy
• Instanton expansions for mass deformed \(N=4\) super Yang-Mills theories
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Dynamics of \(\text{SU}(N)\) supersymmetric gauge theory
• New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
• Integrability and Seiberg-Witten exact solution
• Chiral rings, singularity theory and electric-magnetic duality
• More on Softly Broken N = 2 QCD
• NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES
• SOFTLY BROKEN N = 2 QCD
• TOPOLOGICAL CONFORMAL FIELD THEORIES AND THE FLAT COORDINATES
• TWO KINDS OF THETA CONSTANTS AND PERIOD RELATIONS ON A RIEMANN SURFACE
• Integrating over the Coulomb branch in \({\mathcal N}=2\) gauge theory

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