Elliptic models and M-theory

Abstract

We give a unified analysis of four-dimensional elliptic models with N=2 supersymmetry and a simple gauge group, and their relation to M-theory. Explicit calculations of the Seiberg-Witten curves and the resulting one-instanton prepotential are presented. The remarkable regularities that emerge are emphasized. In addition, we calculate the prepotential in the Coulomb phase of the (asymptotically-free) Sp(2N) gauge theory with N_f fundamental hypermultiplets of arbitrary mass.

52 pages, latex, one eps figure, uses psfig.tex; revised version: typos corrected and references added

References in corpus (11)

• The Instanton Hunter's Guide to Supersymmetric SU(N) Gauge Theories
• Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations
• New N=2 superconformal field theories from M/F theory orbifolds
• Supersymmetric Gauge Theories from Branes and Orientifold Six-planes
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• One Instanton Predictions of a Seiberg-Witten curve from M-theory: the Symmetric Representation of SU(N)
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• Exceptional Seiberg-Witten Geometry with Massive Fundamental Matters
• One-instanton predictions of Seiberg-Witten curves for product groups
• Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory

Cited by in corpus (16)

• ABCD of instantons
• A note on instanton counting for N=2 gauge theories with classical gauge groups
• Instantons on Quivers and Orientifolds
• Saddle point equations in Seiberg-Witten theory
• N=2 Gauge Theories and Systems with Fractional Branes
• Branes, U-folds and hyperelliptic fibrations
• The N=2 cascade revisited and the enhancon bearings
• Geometric construction of elliptic integrable systems and N=1^* superpotentials
• On the Quantization of Seiberg-Witten Geometry
• The M theory lift of two O6 planes and four D6 branes
• A cascading N=1 Sp(2N+2M)xSp(2N) gauge theory
• Transmutation of N=2 fractional D3 branes into twisted sector fluxes
• Chiral observables and S-duality in N = 2* U(N) gauge theories
• Field Theory Interpretation of N=2 Stringy Instantons
• Improved matrix-model calculation of the N=2 prepotential
• Duality and Modularity in Elliptic Integrable Systems and Vacua of N=1* Gauge Theories