Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics

Abstract

We propose an explanation via string theory of the correspondence between the Coulomb branch of certain three-dimensional supersymmetric gauge theories and certain moduli spaces of magnetic monopoles. The same construction also gives an explanation, via $SL(2,\mathbb{Z})$ duality of Type IIB superstrings, of the recently discovered ``mirror symmetry'' in three dimensions. New phase transitions in three dimensions as well as new infrared fixed points and even new coupling constants not present in the known Lagrangians are predicted from the string theory construction. An important role in the construction is played by a novel aspect of brane dynamics in which a third brane is created when two branes cross.

46 pages, 20 figures, A discussion on continuation past infinite coupling is added

References in corpus (13)

• Mirror Symmetry in Three Dimensional Gauge Theories
• D-branes from M-branes
• The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Supersymmetric String Solitons
• Gauge Dynamics And Compactification To Three Dimensions
• Comments on Three-Branes
• The Moduli Space of Many BPS Monopoles for Arbitrary Gauge Groups
• Three Dimensional Gauge Theories and Monopoles
• HyperKähler Quotient Construction of BPS Monopole Moduli Spaces
• The Sen conjecture for fundamental monopoles of distinct type
• A note on the (1, 1,..., 1) monopole metric
• Multi-Monopole Moduli Spaces for SU(n) Gauge Group

Cited by in corpus (402)

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• Adding Flavor to AdS4/CFT3
• D-Branes in the Green-Schwarz Formalism
• Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
• String Junction Transitions in the Moduli Space of N=2 SYM
• Parameter counting for singular monopoles on R^3
• On Correspondences Between Toric Singularities and (p,q)-webs
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Holographic U(1)_A and String Creation
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Strings ending on branes from supergravity
• ABJM Mirrors and a Duality of Dualities
• On D-branes in Type 0 String Theory
• Exact Results in 5D from Instantons and Deconstruction
• Multi-monopoles and Magnetic Bags
• The moduli space of two U(1) instantons on noncommutative $R^4$ and $R^3\times S^1$
• Moduli of Monopole Walls and Amoebas
• Branes and Dynamical Supersymmetry Breaking
• On Heterotic Orbifolds, M Theory and Type I' Brane Engineering
• Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations
• Orientifolds, M-Theory, and the ABCD's of the Enhancon
• Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories
• R-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories
• String Webs from Field Theory
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• Branes, Geometry and N=1 Duality with Product Gauge Groups of SO and Sp
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• More on Meta-Stable Brane Configuration
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• Seiberg duality as derived equivalence for some quiver gauge theories
• A New Orientifold of C^2/Z_N and Six-dimensional RG Fixed Points
• Three Dimensional Mirror Symmetry and Partition Function on $S^3$
• Spectrum of Maxwell-Chern-Simons Theory Realized on Type IIB Brane
• N=1 Supersymmetric Gauge Theories and Supersymmetric 3-cycles
• Brane Inflation, Solitons and Cosmological Solutions: I
• Elliptic models and M-theory
• Twisted K-Theory from Monodromies
• On the Weyl-Wigner-Moyal Description of SU$(\infty )$ Nahm Equations
• Comments on orientifold projection in the conifold and SO x USp duality cascade
• M Theory Fivebrane Interpretation for Strong Coupling Dynamics of SO(N_c) Gauge Theories
• N=2 SCFT and M Theory on AdS_4 x Q^{1,1,1}
• Generalized Whittaker states for instanton counting with fundamental hypermultiplets
• Confining Phase of N=1 $Sp(N_c)$ Gauge Theories via M Theory Fivebrane
• Geometric dualities in 4d field theories and their 5d interpretation
• Variations on S-fold CFTs
• Sp(N_c) Gauge Theories and M Theory Fivebrane
• Non-extremal Localised Branes and Vacuum Solutions in M-Theory
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• Geometric construction of elliptic integrable systems and N=1^* superpotentials
• Lattice formulation of three-dimensional $\mathcal{N}=4$ gauge theory with fundamental matter fields
• Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces
• Geometry of open strings ending on backreacting D3-branes
• Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
• D3-branes in NS5-brane backgrounds
• Branes and fluxes in special holonomy manifolds and cascading field theories
• On Three-Dimensional Mirror Symmetry
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• SUSY vs E8 Gauge Theory in 11 Dimensions
• Integrable Spin Chains on the Conformal Moose
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes
• Inside an Enhancon: Monopoles and Dual Yang-Mills Theory
• D-Branes in Field Theory
• The M theory lift of two O6 planes and four D6 branes
• From M-theory to F-theory, with Branes
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories
• A new vista on the Heterotic Moduli Space from Six and Three Dimensions
• The Implicit Metric on a Deformation of the Atiyah-Hitchin Manifold
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Three Dimensional N=2 Supersymmetry on the Lattice
• Brane Boxes: Bending and Beta Functions
• On the Orientifolding of Type II NS-Fivebranes
• Softly Broken MQCD and the Theta Angle
• String Pair Creations in D-brane Systems
• Phases of N=1 USp(2N_c) Gauge Theories with Flavors
• Domain Walls in MQCD and Monge-Ampere Equation
• Half-Branes, Singular Brane Intersections, and Kaluza-Klein reduction
• Monopole operators, moduli spaces and dualities
• On Integrable Structure and Geometric Transition in Supersymmetric Gauge Theories
• The Cascade is a MMS Instanton
• The Splitting of Branes on Orientifold Planes
• On a Matrix Model of Level Structure
• Supersymmetric vortex loops in 3D gauge theories
• The Kaluza-Klein Monopole in a Massive IIA Background
• Seiberg duality for Chern-Simons quivers and D-brane mutations
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• NC Effective Gauge Model for Multilayer FQH States
• Freed-Witten anomaly in general flux compactification
• Static Charges in the Low-Energy Theory of the S-Duality Twist
• On the Integrability of Four Dimensional N=2 Gauge Theories in the Omega Background
• Stepwise Projection: Toward Brane Setups for Generic Orbifold Singularities
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
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• Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory
• BPS states in the Omega-background and torus knots
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• The gravity duals of SO/USp superconformal quivers
• Ghost Number Cohomologies and M-theory Quantum States
• QCD String as Vortex String in Seiberg-Dual Theory
• D-branes in Unoriented Non-critical Strings and Duality in SO(N) and Sp(N) Gauge Theories
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• Transmogrifying Fuzzy Vortices
• Comments on $SO/Sp$ Gauge Theories from Brane Configurations with an O6 Plane
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• Supersymmetric webs of D3/D5-branes in supergravity
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• E_8 flavour multiplets
• Two-dimensional superconformal field theories from Riemann surfaces with boundary
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• Three-Dimensional Gauge Theories and ADE Monopoles
• Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality
• Superconformal hypermultiplets in superspace
• Five-Brane Configurations, Conformal Field Theories and the Strong-Coupling Problem
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• Evidence for an Algebra of ${\mathbf{G}}_2$ Instantons
• Localization on the D-brane, two-dimensional gauge theory and matrix models
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• Non-extremal fractional branes
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• Matrix Models, Monopoles and Modified Moduli
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• Branes and Vector-like Supersymmetry Breaking Theories with Gauged Global Symmetry
• A Torsion Correction to the RR 4-Form Fieldstrength
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• Little Theories in Six and Seven Dimensions
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry
• Four-dimensional SYM probes in wrapped M5-brane backgrounds
• Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory
• Quantized Coulomb Branches, Monopole Bubbling and Wall-Crossing Phenomena in 3d $\mathcal{N}=4$ Theories
• Membrane Scattering in Curved Space with M-Momentum Transfer
• D-branes and Creation of Strings
• One dimensional M5-brane intersections
• Orientifolds in N=2 Liouville Theory and its Mirror
• Three dimensional Seiberg-like duality and tropical cluster algebra
• M theory and the ``integrating in'' method with an antisymmetric tensor
• Five-dimensional gauge theories and the local B-model
• The D0$-$D8 system revisited
• Duality in Non-Supersymmetric MQCD
• On Matrix Models of M5-branes
• Supersymmetric Gauge Theories, Vortices and Equivariant Cohomology
• Membrane solitons in eight-dimensional hyper-Kaehler backgrounds
• Integrability As Duality: The Gauge/YBE Correspondence
• Matrix String Theory from Brane Configuration
• SO/Sp Monopoles and Branes with Orientifold 3 Plane
• Asymptotic Dynamics of Monopole Walls
• M-Theory Five-brane Wrapped on Curves for Exceptional Groups
• M-Theory and Two-Dimensional Effective Dynamics
• BPS Mass, Dirichlet Boundary Condition, and the Isotropic Coordinate System
• Central charges of wrapped M5-brane backgrounds
• Solving Four Dimensional Field Theories with the Dirichlet Fivebrane
• Aspects of Confinement and Screening in M theory
• String Creation, D-branes and Effective Field Theory
• Dualities and loops on squashed $S^3$
• Line Operators in 4d Chern-Simons Theory and Cherkis Bows
• Anomalous N=2 superconformal Ward identities
• On the non-existence of totally localised intersections of D3/D5 branes in type IIB SUGRA
• Supersymmetric and non-supersymmetric Seiberg-like dualities for gauged Wess-Zumino-Witten theories, realised on branes
• Affine connection representation of gauge fields
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• The Super-potential and Holomorphic properties of the MQCD
• $\mathcal{N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• The braneology of 3D dualities
• Type IIB 2-form Fields and Gauge Coupling Constant of 4D N=2 super QCD
• The Past, puzzles, and promise of 6-branes
• Reflexions on Mahler: Dessins, Modularity and Gauge Theories
• Wrapped D-Branes as BPS Monopoles: The Moduli Space Perspective
• NS Fivebrane and Tachyon Condensation
• 4D/3D reduction of dualities: mirrors on the circle