Gauge Dynamics And Compactification To Three Dimensions

Abstract

We study four dimensional $N=2$ supersymmetric gauge theories on $R^3\times S^1$ with a circle of radius $R$. They interpolate between four dimensional gauge theories ($R=\infty$) and $N=4$ supersymmetric gauge theories in three dimensions ($R=0$). The vacuum structure can be determined quite precisely as a function of $R$, agreeing with three and four-dimensional results in the two limits.

37 pages, harvmac

Cited by in corpus (157)

• Supergravity description of field theories on curved manifolds and a no go theorem
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• Toward Realistic Intersecting D-Brane Models
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Reading between the lines of four-dimensional gauge theories
• Brane Dynamics and Gauge Theory
• Four-dimensional wall-crossing via three-dimensional field theory
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• The Omega Deformation, Branes, Integrability, and Liouville Theory
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Non-trivial Fixed Points of The Renormalization Group in Six Dimensions
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• Les Houches Lectures on Constructing String Vacua
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Mirrors of 3d Sicilian theories
• Darboux coordinates, Yang-Yang functional, and gauge theory
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• Notes on Theories with 16 Supercharges
• Progress in D-brane model building
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• From 4d superconformal indices to 3d partition functions
• M theory and Singularities of Exceptional Holonomy Manifolds
• TASI Lectures on Solitons
• Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
• Wall-Crossing in Coupled 2d-4d Systems
• Wild Quiver Gauge Theories
• Branes and Mirror Symmetry in N=2 Supersymmetric Gauge Theories in Three Dimensions
• Supersymmetry enhancement by monopole operators
• Duality in Integrable Systems and Gauge Theories
• Walls, Lines, and Spectral Dualities in 3d Gauge Theories
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• Gravitational Couplings and $Z_2$ Orientifolds
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge Theory
• Down the rabbit hole with theories of class S
• Three Dimensional Gauge Theories and Monopoles
• Instantons and Magnetic Monopoles on $R^3\times S^1$ with Arbitrary Simple Gauge Groups
• D_n Quivers From Branes
• Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
• Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory
• N=2 supersymmetric dynamics for pedestrians
• Orientifolds, Mirror Symmetry and Superpotentials
• Singular Monopoles and Supersymmetric Gauge Theories in Three Dimensions
• $R^4$ couplings and automorphic unipotent representations
• Mesons in gauge/gravity dual with large number of fundamental fields
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Gravitational Instantons of Type D_k
• Twistor Approach to String Compactifications: a Review
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• Hyperkahler Metrics from Periodic Monopoles
• A Non-Renormalization Theorem for the d=1, N=8 Vector Multiplet
• Scale-separated AdS${}_4$ vacua of IIA orientifolds and M-theory
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• Opers, surface defects, and Yang-Yang functional
• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• Special geometry in hypermultiplets
• Duality of Chiral N=1 Supersymmetric Gauge Theories via Branes
• 2d affine XY-spin model/ 4d gauge theory duality and deconfinement
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• Instantons in the Double-Tensor Multiplet
• Multi-Instantons, Three-Dimensional Gauge Theory, and the Gauss-Bonnet-Chern Theorem
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• More Three Dimensional Mirror Pairs
• Seiberg dualities and the 3d/4d connection
• Gravitational Instantons and Fluxes from M/F-theory on Calabi-Yau fourfolds
• Gauge theories from wrapped and fractional branes
• Gravitational instantons with faster than quadratic curvature decay (II)
• Parameter counting for singular monopoles on R^3
• Multi-monopoles and Magnetic Bags
• On O(N_c) d=3 N=2 supersymmetric QCD Theories
• Moduli of Monopole Walls and Amoebas
• Toda fields of SO(3) hyper-Kahler metrics and free field realizations
• Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations
• Semiclassical framed BPS states
• New N=2 superconformal field theories from M/F theory orbifolds
• Five-dimensional gauge theory and compactification on a torus
• Calabi-Yau Duals of Torus Orientifolds
• Beyond Twisted Tori
• Non-perturbative orientifold transitions at the conifold
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• On the Twisted (2,0) and Little-String Theories
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Instantons, Three Dimensional Gauge Theories and Monopole Moduli Spaces
• 3-manifold topology and the Donaldson-Witten partition function
• Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Basic hypergeometry of supersymmetric dualities
• The moduli space of vacua of N=2 class S theories
• Quantum Elliptic Calogero-Moser Systems from Gauge Origami
• The fate of the type I non-BPS D7-brane
• Chern-Simons-Matter Theory and Mirror Symmetry
• Wall Crossing and Instantons in Compactified Gauge Theory
• Nonperturbative Superpotentials and Compactification to Three Dimensions
• Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory I
• New S-dualities in N=2 supersymmetric SU(2) x SU(2) gauge theory
• ABCD of 3d $\mathcal{N}=8$ and 4 Superconformal Field Theories
• Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces
• Variations on S-fold CFTs
• Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory II
• Relations between supersymmetric structures in UV and IR for $\mathcal{N}=4$ bad theories
• Orthosymplectic Implosions
• Degeneration of ALF D_n Metrics
• Twisted Sisters: KK Monopoles and their Zero Modes
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• The M theory lift of two O6 planes and four D6 branes
• The Hamiltonian Analysis for Yang-Mills Theory on $R\times S^2$
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• Monopole operators, moduli spaces and dualities
• Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Quantum integrability from non-simply laced quiver gauge theory
• Coulomb Branches of Star-Shaped Quivers
• The Glueball Superpotential
• Deconstructing KK Monopoles
• Modularity, Quaternion-Kahler spaces and Mirror Symmetry
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Low--dimensional sisters of Seiberg-Witten effective theory
• Causality and dispersion relations and the role of the S-matrix in the ongoing research
• M-theory realization of a N=1 supersymmetric chiral gauge theory in four dimensions
• Gauging N=2 Supersymmetric Non-Linear $\sigma$-Models in the Atiyah-Ward Space-Time
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• On the Exact Evaluation of the Membrane Instanton Superpotential in M-Theory on G_2-Holonomy Manifold
• Orientiholes
• Classical Spin Chains and Exact Three-dimensional Superpotentials
• Masses, Sheets and Rigid SCFTs
• On the N=1* Gauge Theory on a Circle and Elliptic Integrable Systems
• Aspects of ABJM orbifolds
• Darboux Coordinates and Instanton Corrections in Projective Superspace
• Ground States of Duality-twisted Sigma-Models with K3 Target Space
• A Journey Between Two Curves
• Supermembrane limit of Yang-Mills theory
• Asymptotic Dynamics of Monopole Walls
• M-Theory Five-brane Wrapped on Curves for Exceptional Groups
• Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD
• 3d N=4 Super-Yang-Mills on a Lattice
• Solution of quantum integrable systems from quiver gauge theories
• Five-Branes in M-Theory and a Two-Dimensional Geometric Langlands Duality
• Deformations of the moduli space and superpotential flows in 3D SUSY QCD
• BPS Spectra, Barcodes and Walls
• Umbral Moonshine and String Duality
• Exact low-energy effective actions for hypermultiplets in four dimensions
• Deconfinement on ${\mathbb{R}}^2\times S_L^1\times S_{\beta }^1$ for all gauge groups and duality to double Coulomb Gas
• The braneology of 3D dualities
• Gravitational instantons of type $D_k$ and a generalization of the Gibbons-Hawking Ansatz
• Families of Hitchin systems and N=2 theories
• Chiral Gauge Theories on $R^3\times S^1$ and SUSY Breaking
• Omega-deformed SYM on a Gibbons-Hawking Space
• SUSY localization for Coulomb branch operators in omega-deformed 3d N=4 gauge theories