Exact T-duality between Calorons and Taub-NUT spaces

Abstract

We determine all SU(2) caloron solutions with topological charge one and arbitrary Polyakov loop at spatial infinity (with trace 2.cos(2.pi.omega)), using the Nahm duality transformation and ADHM. By explicit computations we show that the moduli space is given by a product of the base manifold R^3 X S^1 and a Taub-NUT space with mass M=1/sqrt{8.omega(1-2.omega)}, for omega in [0, 1/2], in units where S^1=R/Z. Implications for finite temperature field theory and string duality between Kaluza-Klein and H-monopoles are briefly discussed

12 pages, including 1 figure (in three parts), latex

References in corpus (2)

• Monopoles and Instantons on Partially Compactified D-Branes
• Duality symmetry of N=4 Yang-Mills theory on T^3

Cited by in corpus (133)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Instantons at work
• Monopole Constituents inside SU(n) Calorons
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• NS5-Branes, T-Duality and Worldsheet Instantons
• Strongly coupled plasma with electric and magnetic charges
• Instantons in the Higgs Phase
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Quantum weights of dyons and of instantons with non-trivial holonomy
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• Polyakov loop modeling for hot QCD
• Monopoles, affine algebras and the gluino condensate
• On S-duality of 5d super Yang-Mills on S^1
• Linking confinement to spectral properties of the Dirac operator
• Modified instanton sum in QCD and higher-groups
• Instantons, the QCD Vacuum, and Hadronic Physics
• Confining ensemble of dyons
• Topology and confinement
• New findings for topological excitations in SU(3) lattice gauge theory
• Counting Yang-Mills Dyons with Index Theorems
• Weyl-Dirac zero-mode for calorons
• Self-dual vortex-like configurations in SU(2) Yang-Mills Theory
• An SU(2) KvBLL caloron gas model and confinement
• Instantons on Gravitons
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Multi-Caloron solutions
• Calorons, instantons and constituent monopoles in SU(3) lattice gauge theory
• Constituent monopoles through the eyes of fermion zero-modes
• Higher charge calorons with non-trivial holonomy
• Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass
• Moduli Spaces of Instantons on the Taub-NUT Space
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• Center Vortices, Nexuses, and Fractional Topological Charge
• Quantum Spectrum of Instanton Solitons in Five Dimensional Noncommutative U(N) Theories
• The moduli space of two U(1) instantons on noncommutative $R^4$ and $R^3\times S^1$
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Chiral Symmetry Breaking on the Lattice
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• On Classification of QCD defects via holography
• Calorons and localization of quark eigenvectors in lattice QCD
• Probing for Instanton Quarks with epsilon-Cooling
• SU(N) caloron measure and its relation to instantons
• Constructing SU(N) fractional instantons
• String Tension Scaling in High-Temperature Confined SU(N) Gauge Theories
• Anderson Localization in high temperature QCD: background configuration properties and Dirac eigenmodes
• Instanton Partons in 5-dim SU(N) Gauge Theory
• Topological lumps and Dirac zero modes in SU(3) lattice gauge theory on the torus
• Fractional instanton of the SU($3$) gauge theory in weak coupling regime
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Searching for KvBLL calorons in SU(3) lattice gauge field ensembles
• Phases of Gauge Theories
• Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism
• Exact fermion zero-mode for the new calorons
• Deconfinement and CP-breaking at $\theta =\pi$ in Yang-Mills theories and a novel phase for SU(2)
• Adjoint fermion zero-modes for SU(N) calorons
• On topological charge carried by nexuses and center vortices
• Covariant derivative expansion of Yang-Mills effective action at high temperatures
• Instantons and Monopoles
• Nahm dualities on the torus - a synthesis
• The Vortex Structure of SU(2) Calorons
• A model for gauged skyrmions with low binding energies
• On Nahm's transformation with twisted boundary conditions
• The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Different faces of confinement
• Nahm gauge fields for the torus
• Spontaneous breaking of color in N=1 Super Yang-Mills theory without matter
• Application of the Large-N_c limit to a Chiral Lagrangian with Resonances
• QCD vacuum structure
• Calorons, Nahm's equations on S^1 and bundles over P^1xP^1
• Calorons with non-trivial holonomy on and off the lattice
• Are there monopoles in the quark-gluon plasma?
• Multi-Calorons Revisited
• Confinement-Deconfinement Phase Transition at Nonzero Chemical Potential
• Loop expansion in Yang-Mills thermodynamics
• Constituent monopoles without gauge fixing
• Covariant derivative expansion of fermionic effective action at high temperatures
• Relic photon temperature versus redshift and the cosmic neutrino background
• SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics
• Improved superposition schemes for approximate multi-caloron configurations
• New Instanton Solutions at Finite Temperature
• Two-Monopole Systems and the Formation of Non-Abelian Clouds
• 1/4 BPS Dyonic Calorons
• Branes, partition functions and quadratic monopole superpotentials
• Strongly coupled QFT dynamics via TQFT coupling
• Gluino zero-modes for non-trivial holonomy calorons
• Deconstructing KK Monopoles
• Confinement in a Higgs Model on $R^3\times S^1$
• Calorons in Weyl Gauge
• Fermionic determinant for SU(N) caloron with nontrivial holonomy
• Sphalerons, knots, and dynamical compactification in Yang-Mills-Chern-Simon theories
• Nahm Data and the Mass of 1/4-BPS States
• Confinement, Chiral Symmetry Breaking and Faddeev-Niemi Decomposition in QCD
• On Dirac sheet configurations of SU(2) lattice fields
• Determinant of the SU(N) caloron with nontrivial holonomy
• The isolated electron: De Broglie's "hidden" thermodynamics, SU(2) Quantum Yang-Mills theory, and a strongly perturbed BPS monopole
• Heavy quark correlators in Instanton Liquid Model with perturbative corrections
• Skyrmions from calorons
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Fermionic determinant for dyons and instantons with nontrivial holonomy
• On the stability of Dirac sheet configurations
• Heavy-heavy and heavy-light quarks interactions generated by QCD vacuum
• Quark Confinement and the Renormalization Group
• One-loop photon-photon scattering in a thermal, deconfining SU(2) Yang-Mills plasma
• Gluons, Light and Heavy Quarks in the Instanton Vacuum
• Monopole-vortex continuity of $\mathcal{N}=1$ super Yang-Mills theory on ${\mathbb{R}}^2\times S^1\times S^1$ with 't Hooft twist
• Sphaleron solutions of the Skyrme model from Yang-Mills holonomy
• Supersymmetric QCD: Exact Results and Strong Coupling
• Gluino zero-modes for calorons at finite temperature
• Cyclic Calorons
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: zero temperature calibrations and numerical framework
• From Branes to Branes
• Sigma Model BPS Lumps on Torus
• Electric charge catalysis by magnetic fields and a nontrivial holonomy
• The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie's hidden thermodynamics
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$
• Instantons in rotating finite-temperature Yang-Mills gas
• Aspects of $C_3$-symmetric calorons from numerical Nahm transform
• Gluons, Heavy and Light Quarks in the QCD Vacuum
• Instantons in Lifshitz Field Theories
• Correlation of energy density in deconfining SU(2) Yang-Mills thermodynamics
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: strongly associating fluids and biased Monte Carlo
• Implementation of an iterative map in the construction of (quasi)periodic instantons: chaotic aspects and discontinuous rotation numbers
• Confinement on $R^3\times S^1$: continuum and lattice
• SU(2) Yang-Mills thermodynamics: a priori estimate and radiative corrections
• Thermodynamics of SU(2) quantum Yang-Mills theory and CMB anomalies
• The variant of ADHMN construction associated with q-analysis
• SU(2) Quantum Yang-Mills Thermodynamics: Some Theory and Some Applications
• A Compact Expression for Periodic Instantons
• Raymond and instantons: some recollections and the use of ADHM