N=2 Supersymmetric Gauge Theories, Branes and Orientifolds

Abstract

Starting with configurations of fourbranes, fivebranes, sixbranes and orientifolds in Type IIA string theory we derive via M-theory the curves solving N=2 supersymmetric gauge theories with gauge groups SO(N) and Sp(2N). We also obtain new curves describing theories with product gauge groups. A crucial role in the discussion is played by the interaction of the orientifolds with the NS-fivebranes.

37 pages (harvmac b-mode), 7 figures, derivation of the Seiberg-Witten differential included, minor changes in text, references added

References in corpus (10)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Branes and N=1 Duality in String Theory
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Brane Dynamics and N=1 Supersymmetric Gauge Theory
• Branes and Mirror Symmetry in N=2 Supersymmetric Gauge Theories in Three Dimensions
• Geometry of N=1 Dualities in Four Dimensions
• Brane Configurations and 4D Field Theory Dualities
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Cited by in corpus (90)

• N=2 dualities
• Brane Dynamics and Gauge Theory
• Branes And The Dynamics Of QCD
• Confinement and Strings in MQCD
• Branes and N=2 Theories in Two Dimensions
• D-brane probes, RR tadpole cancellation and K-theory charge
• Tinkertoys for the D_N series
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Calogero-Moser Lax Pairs with Spectral Parameter for General Lie Algebras
• More on the N=2 superconformal systems of type $D_p(G)$
• Tinkertoys for the Twisted D-Series
• M Theory And Seiberg-Witten Curves: Orthogonal and Symplectic Groups
• Comments on the M Theory Approach to N=1 SQCD and Brane Dynamics
• The ABCDEFG of Instantons and W-algebras
• BPS States and Minimal Surfaces
• Classification of 4d N=2 gauge theories
• Dimers and Orientifolds
• Supersymmetric Index and s-rule for Type IIB Branes
• Four-dimensional BPS-spectra via M-theory
• Intersecting brane solutions in string and M-theory
• Magnetic Quivers from Brane Webs with O5 Planes
• A Note on Superconformal N=2 theories and Orientifolds
• Duality of Chiral N=1 Supersymmetric Gauge Theories via Branes
• Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras
• RG flows with supersymmetry enhancement and geometric engineering
• Consistency Conditions for Fivebrane in M Theory on R^5/Z_2 Orbifold
• (Anti)symmetric matter and superpotentials from IIB orientifolds
• On the M-Theory Approach to (Compactified) 5D Field Theories
• From SO/Sp instantons to W-algebra blocks
• Hitchin Equation, Singularity, and N=2 Superconformal Field Theories
• Branes and Dynamical Supersymmetry Breaking
• Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations
• N=2 Generalized Superconformal Quiver Gauge Theory
• Deformed Seiberg-Witten Curves for ADE Quivers
• M Theory, Type IIA String and 4D N=1 SUSY SU(N_L) X SU(N_R) Gauge Theory
• Discrete theta angle from an O5-plane
• Type IIB Orientifolds without Untwisted Tadpoles, and non-BPS D-branes
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• N = 1 Field Theory Duality from M-theory
• Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae
• Branes, Geometry and N=1 Duality with Product Gauge Groups of SO and Sp
• Punctures for Theories of Class ${\mathcal{S}}_{\Gamma }$
• The Seiberg-Witten Differential From M-Theory
• Constructing Gauge Theory Geometries from Matrix Models
• The moduli space of vacua of N=2 class S theories
• Gauge Theories with Tensors from Branes and Orientifolds
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• Cubic curves from instanton counting
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• A New Orientifold of C^2/Z_N and Six-dimensional RG Fixed Points
• D-type fiber-base duality
• Green-Schwarz Automorphisms and 6D SCFTs
• Elliptic models and M-theory
• M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories
• Meta-Stable Brane Configuration and Gauged Flavor Symmetry
• Comments on orientifold projection in the conifold and SO x USp duality cascade
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• Sp(N_c) Gauge Theories and M Theory Fivebrane
• The Field Theory of Non-Supersymmetric Brane Configurations
• Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories
• Solutions to the reflection equation and integrable systems for N=2 SQCD with classical groups
• D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories
• Branes and Electric-Magnetic Duality in Supersymmetric QCD
• The Splitting of Branes on Orientifold Planes
• On the WDVV Equation and M-Theory
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
• ABCD of 't Hooft operators
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• ABCD of qq-characters
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• Confinement and duality in supersymmetric gauge theories
• The gravity duals of SO/USp superconformal quivers
• A Family of N=2 Gauge Theories with Exact S-Duality
• QCD String as Vortex String in Seiberg-Dual Theory
• Comments on $SO/Sp$ Gauge Theories from Brane Configurations with an O6 Plane
• Prepotential and Instanton Corrections in N=2 Supersymmetric SU(N_1)xSU(N_2) Yang Mills Theories
• Seiberg-Witten Geometry with Various Matter Contents
• Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory
• Branes and Vector-like Supersymmetry Breaking Theories with Gauged Global Symmetry
• On the Brane Configuration of $N=(4,4)$ 2D supersymmetric gauge theory
• The Geometry of SUSY Enhancement
• M theory and the ``integrating in'' method with an antisymmetric tensor
• M-Theory Five-brane Wrapped on Curves for Exceptional Groups
• Aspects of Confinement and Screening in M theory
• Deriving N=2 S-dualities from Scaling for Product Gauge Groups
• Meta-Stable Brane Configurations of Triple Product Gauge Groups
• Quark Condensates in Non-Supersymmetric MQCD