Branes, Superpotentials and Superconformal Fixed Points

Abstract

We analyze various brane configurations corresponding to field theories in three, four and five dimensions. We find brane configurations which correspond to three dimensional N=2 and four dimensional N=1 supersymmetric QCD theories with quartic superpotentials, in which what appear to be ``hidden parameters'' play an important role. We discuss the construction of five dimensional N=1 supersymmetric gauge theories and superconformal fixed points using branes, which leads to new five dimensional N=1 superconformal field theories. The same five dimensional theories are also used, in a surprising way, to describe new superconformal fixed points of three dimensional N=2 supersymmetric theories, which have both ``electric'' and ``magnetic'' Coulomb branches.

41 pages, 14 figures, harvmac big

References in corpus (5)

• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Branes and N=1 Duality in String Theory
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Rotated Branes and N=1 Duality

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• Brane Constructions, Conifolds and M-Theory
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• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
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• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• M5 brane and four dimensional N=1 theories I
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• Towards Classification of 5d SCFTs: Single Gauge Node
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• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• On Correspondences Between Toric Singularities and (p,q)-webs
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• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
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• ABJM Mirrors and a Duality of Dualities
• Dualities of 5d gauge theories from S-duality
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
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• Strings between branes
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• Discrete theta angle from an O5-plane
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• Effective Action of Domain Wall Networks
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• Hidden Exceptional Global Symmetries in 4d CFTs
• Local models of Gauge Mediated Supersymmetry Breaking in String Theory
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• 5d fixed points from brane webs and O7-planes
• Bipartite Field Theories from D-Branes
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
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• Wilson loops in 5d $\mathcal{N}=1$ theories and S-duality
• Surface defects in holographic 5d SCFTs
• Holographic line defects in F(4) gauged supergravity
• Hilbert Series for Theories with Aharony Duals
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part II: Brane Constructions and 3d N=2 Field Theories
• Instantons from Blow-up
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• Gauge Theories with Tensors from Branes and Orientifolds
• The moduli spaces of S-fold CFTs
• New quantum toroidal algebras from 5D $\mathcal{N}=1$ instantons on orbifolds
• Compactifications of 5d SCFTs with a twist
• Fractional Branes, Confinement, and Dynamically Generated Superpotentials
• A note on the algebraic engineering of 4D $\mathcal{N}=2$ super Yang-Mills theories
• Dualities of Corner Configurations and Supersymmetric Indices
• S-duality in $\mathcal{N}=1$ orientifold SCFTs
• 3d Mirror Symmetry from S-duality
• Decay and Fission of Magnetic Quivers
• AdS${}_6$/CFT${}_5$ with O7-planes
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• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
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• On the compactification of 5d theories to 4d
• Rigid limit for hypermultiplets and five-dimensional gauge theories
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• Evidence for a 5d F-theorem
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• Fiber-base duality from the algebraic perspective
• The Field Theory of Non-Supersymmetric Brane Configurations
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• Intersecting Defects and Supergroup Gauge Theory
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• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
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• Exploring the orthosymplectic zoo
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• On supersymmetric AdS6 solutions in 10 and 11 dimensions
• Twin Theories, Polytope Mutations and Quivers for GTPs
• Dilatonic states near holographic phase transitions
• M-theory curves from warped AdS${}_6$ in Type IIB
• Partition functions of web diagrams with an O7${}^{-}$-plane
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Brain Webs for Brane Webs
• Topological vertex for 6d SCFTs with ${\mathbb{Z}}_2$-twist
• D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories
• On non-supersymmetric fixed points in five dimensions
• 3d defects in 5d: RG flows and defect F-maximization
• Unsupervised Machine Learning Techniques for Exploring Tropical Coamoeba, Brane Tilings and Seiberg Duality
• Moduli Space for Conifolds as Intersection of Orthogonal D6 branes
• Gauge theories from D7-branes over vanishing 4-cycles
• Intersecting Branes, Domain Walls and Superpotentials in 3d Gauge Theories
• Trinion Conformal Blocks from Topological strings
• Fibre-base duality of 5d KK theories
• (p,q)-strings probing five-brane webs
• 6d/5d exceptional gauge theories from web diagrams
• Bootstrapping the $S^5$ partition function
• Comments on Global Symmetries and Anomalies of $5d$ SCFTs
• Unification in Intersecting Brane Models
• Surface operators in 5d gauge theories and duality relations
• Supersymmetric probes in warped $Ad{S}_6$
• Gauge Unification via Stable Brane Recombination
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
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• Bipartite field theories and D-brane instantons
• Comments on (Non-)Chiral Gauge Theories and Type IIB Branes
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• Dualities in Quantum Hall System and Noncommutative Chern-Simons Theory
• S-foldings of 5d SCFTs
• Equation of State and Joule-Thomson Expansion for the FRW Universe in the Brane World Scenario
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• 5D N=1 super QFT: symplectic quivers
• Supersymmetry Algebra in Super Yang-Mills Theories
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• Towards the Continuous Limit of Cluster Integrable Systems
• Backreacting D-brane instantons on branes at singularities
• $DE$-type little strings from glued brane webs
• Magnetic Domains
• Bound States of String Networks and D-branes
• U-duality and Network Configurations of Branes
• Engineering 3D $\mathcal{N}=2$ theories using the quantum affine $\mathfrak{sl}(2)$ algebra
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Five-dimensional gauge theories on spheres with negative couplings
• Seven-dimensional super Yang-Mills at negative coupling
• Compactifying 5d superconformal field theories to 3d
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• Seiberg's Duality from Monodromy of Conifold Singularity
• Quantum Deconstruction of 5D SQCD
• O-vertex, O7${}^{+}$-plane, and Topological Vertex
• Abelian dualities and line defect indices for 3d gauge theories
• Holographic MQCD
• Heterotic Ouroboros
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations
• Non-supersymmetric AdS${}_6$ and the swampland
• Magnetic charge quantization from SYM considerations
• Quarter-indices for basic ortho-symplectic corners
• Symmetry TFTs from String Theory
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Aspects of 4d supersymmetric dynamics and geometry
• Intertwining operator and integrable hierarchies from topological strings