On the M-Theory Approach to (Compactified) 5D Field Theories

Abstract

We construct M-theory curves associated with brane configurations of SU(N), SO(N) and $Sp(2N)$ 5d supersymmetric gauge theories compactified on a circle. From the curves we can account for all the existing different SU(N) field theories with $N_f\le 2N$. This is the correct bound for $N\ge 3$. We remark on the exceptional case SU(2). The bounds obtained for SO(N) and $Sp(2N)$ are $N_f\le N-4$ and $N_f\le 2N+4$, respectively.

18 pages, minor corrections

References in corpus (8)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Brane Dynamics and N=1 Supersymmetric Gauge Theory
• N=2 Supersymmetric Gauge Theories, Branes and Orientifolds
• Branes and Six Dimensional Fixed Points
• M Theory And Seiberg-Witten Curves: Orthogonal and Symplectic Groups
• Comments on the M Theory Approach to N=1 SQCD and Brane Dynamics
• Notes on Supersymmetric Gauge Theories in Five and Six Dimensions

Cited by in corpus (28)

• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Brane Dynamics and Gauge Theory
• Webs of five-branes and N=2 superconformal field theories
• Five-branes, Seven-branes and Five-dimensional E_n field theories
• Non-Lagrangian Theories from Brane Junctions
• M5-branes, toric diagrams and gauge theory duality
• Exact results for 5d SCFTs of long quiver type
• SUSY field theories, integrable systems and their stringy/brane origin -- II
• BPS Dynamics of Triple (p,q) String Junction
• 5d $E_n$ Seiberg-Witten curve via toric-like diagram
• Exact Results in 5D from Instantons and Deconstruction
• BPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve Counting
• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
• Discrete theta angle from an O5-plane
• Black hole microstate counting in Type IIB from 5d SCFTs
• Five-Dimensional Gauge Theories and Local Mirror Symmetry
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• N=1 Supersymmetric Gauge Theories and Supersymmetric 3-cycles
• M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories
• Dessins d'Enfants in $\mathcal{N}=2$ Generalised Quiver Theories
• M-theory curves from warped AdS${}_6$ in Type IIB
• Brane Boxes: Bending and Beta Functions
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• Surface operators in 5d gauge theories and duality relations
• Five-Dimensional Gauge Theories and Unitary Matrix Models
• On the Brane Configuration of $N=(4,4)$ 2D supersymmetric gauge theory
• Five-dimensional gauge theories and the local B-model
• Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation