M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills

Abstract

We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2,0) theory on a circle is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite.

16 pages, Latex; v2: typos corrected and references added; v3: expanded discussion of photon states and revised Higgs mechanism, conclusions unchanged

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Cited by in corpus (168)

• 5-dim Superconformal Index with Enhanced En Global Symmetry
• On D=5 super Yang-Mills theory and (2,0) theory
• The $(2,0)$ superconformal bootstrap
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• M5-branes from gauge theories on the 5-sphere
• Supersymmetric Gauge Theories on the Five-Sphere
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• On instantons as Kaluza-Klein modes of M5-branes
• (1,0) superconformal models in six dimensions
• Generalized Global Symmetries of $T[M]$ Theories. I
• $N^3$-behavior from 5D Yang-Mills theory
• Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
• On S-duality of 5d super Yang-Mills on S^1
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Perturbative partition function for a squashed S^5
• Elliptic Genus of E-strings
• Brane webs and $O5$-planes
• Instanton Operators and the Higgs Branch at Infinite Coupling
• Multiple Membranes in M-theory
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Topologically twisted indices in five dimensions and holography
• Supersymmetric Casimir Energy and the Anomaly Polynomial
• D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• Brane Effective Actions, Kappa-Symmetry and Applications
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Classification of 5d N=1 gauge theories
• The Partition Function of ABJ Theory
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• 5D SYM and 2D q-Deformed YM
• The Superconformal Index of the (2,0) Theory with Defects
• (2,0) Supersymmetry and the Light-Cone Description of M5-branes
• Loops in exceptional field theory
• Superconformal symmetry and maximal supergravity in various dimensions
• 5D super Yang-Mills theory and the correspondence to AdS${}_7$/CFT${}_6$
• Deconstructing (2,0) Proposals
• The Conformal Anomaly of M5-Branes
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• $N^3$ entropy of M5 branes from dielectric effect
• Equivariant Cohomotopy implies orientifold tadpole cancellation
• Instanton Operators in Five-Dimensional Gauge Theories
• A Kaluza-Klein inspired action for chiral p-forms and their anomalies
• Spherical Branes
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT
• Exploring 6D origins of 5D supergravities with Chern-Simons terms
• (2,0) theory on circle fibrations
• Amplitudes for Multiple M5 Branes
• Wilson loops in Five-Dimensional Super-Yang-Mills
• AdS${}_7$ Black-Hole Entropy and 5D $\mathcal{N}=2$ Yang-Mills
• 6d (2,0) and M-theory at 1-loop
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Five-dimensional gauge theory and compactification on a torus
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Non-Lorentzian M5-brane Theories from Holography
• Instanton Partons in 5-dim SU(N) Gauge Theory
• The M5-brane action revisited
• Duality-symmetric actions for non-Abelian tensor fields
• Chern-Simons theory from M5-branes and calibrated M2-branes
• 1/4 BPS String Junctions and $N^3$ Problem in 6-dim (2,0) Superconformal Theories
• Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence
• Revisiting Soliton Contributions to Perturbative Amplitudes
• The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space
• The moduli space of vacua of N=2 class S theories
• Wilson surfaces in M5-branes
• Interpolating the Coulomb Phase of Little String Theory
• 5D Yang-Mills instantons from ABJM Monopoles
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Lattice Gerbe Theory
• Exact Deconstruction of the 6D (2,0) Theory
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5
• Supersymmetric backgrounds from 5d N=1 supergravity
• Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra
• Super-Yang-Mills and M5-branes
• Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
• Phases of planar 5-dimensional supersymmetric Chern-Simons theory
• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Emergent Time and the M5-Brane
• On Effective Action of Multiple M5-branes and ABJM Action
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Note on non-Abelian two-form gauge fields
• Non-Abelian Self-Dual String Solutions
• From strings in 6d to strings in 5d
• Bosonic Symmetries of $(2,0)$ DLCQ Field Theories
• M-Theory and Maximally Supersymmetric Gauge Theories
• From the planar limit to M-theory
• The 5d Superconformal Index at Large $N$ and Black Holes
• Indices for 6 dimensional superconformal field theories
• Lessons from M2's and Hopes for M5's
• The Forced Soliton Equation and Semiclassical Soliton Form Factors
• A preliminary test of Abelian D4-M5 duality
• On Large N Solution of N=3 Chern-Simons-adjoint Theories
• The low energy dynamics of charge two dyonic instantons
• Supersymmetry and BPS States on D4-brane in Large C-field Background
• M5/D4 brane partition function on a circle bundle
• BPS States on M5-brane in Large C-field Background
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• Thermodynamics of black M-branes from SCFTs
• M5 brane on $R^{1,2}\times S^3$
• Matrix models for 5d super Yang-Mills
• Maximal super Yang-Mills theories on curved background with off-shell supercharges
• Elliptic Quantum Curves of Class ${\mathcal{S}}_k$
• Fibre-base duality of 5d KK theories
• A nonabelian M5 brane Lagrangian in a supergravity background
• Deconstructing graviphoton from mass-deformed ABJM
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• M2-Branes And The (2,0) Superalgebra
• Non-Abelian tensor hierarchy in (1,0) D=6 superspace
• M5-branes, orientifolds, and S-duality
• Super-Yang-Mills theories on S4 x R
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Periodic Arrays of M2-Branes
• Five-dimensional super Yang-Mills theory from ABJM theory
• Supersymmetry Algebra in Super Yang-Mills Theories
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Learning knot invariants across dimensions
• Ambitwistor String Theory in the Operator Formalism
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• The non-Abelian tensor multiplet
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Modular properties of full 5D SYM partition function
• M2-M5 giant graviton expansions
• 5D Maximally Supersymmetric Yang-Mills in 4D Superspace: Applications
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• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Emergent Higgs from hidden dimensions
• The Yang-Mills and chiral fields in six dimensions
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Supersymmetric action for multiple D0-brane system
• Charged Chiral Fermions from M5-Branes
• Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix models
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Elliptic genera of monopole strings
• The NS limit of the 5D Superconformal Index
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• A Nonabelian $(1,0)$ Tensor Multiplet Theory in 6D
• Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
• Twistors, Harmonics and Holomorphic Chern-Simons
• A Euclidean Lattice Formulation of D=5 Maximally Supersymmetric Yang-Mills Theory
• Four-Dimensional N=2 Supersymmetric Theory with Boundary as a Two-Dimensional Complex Toda Theory
• Dimensional reduction of M5 branes
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Towards a tensionless string field theory for the N=(2,0) CFT in d=6
• Yangian Symmetry in Five Dimensions
• Five-dimensional Super-Yang-Mills and its Kaluza-Klein tower
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• Hamiltonian approach and quantization of $D=3,\mathcal{N}=1$ supersymmetric non-Abelian multiwave system
• Five-dimensional fermionic Chern-Simons theory
• A 6D nonabelian $(1,0)$ Theory
• M2- and M5-branes in E11 Current Algebra Formulation of M-theory
• M5-brane prongs, string soliton bound states and wall-crossing
• Notes on the Dynamics of Noncommutative U(2) and Commutative SU(3) Instantons
• Aspects of 4d supersymmetric dynamics and geometry
• Entanglement Entropy of Compactified Branes and Phase Transition
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy
• A toy model for $p$-form gauge symmetry
• Momentum modes of M5-branes in a 2d space