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Anomalies: New Results and Applications

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Anomalies: New Results and Applications
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Anomalies: New Structures and Applications
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23
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will review the concept of anomalies and its relationship with Symmetry Protected Topological Phases. I will also review various extensions of the concept of ‘’symmetry.’’ I will present applications to Yang-Mills theories in 2, 3 and 4 dimensions. These applications feature two extensions of the concept of symmetry: one is higher-symmetry and the other is "non-symmetry" topological defects.
Algebraic structureKörper <Algebra>PhysicalismMusical ensembleResultantLecture/Conference
Presentation of a groupAlgebraic structureTheoryLocal GroupSymmetry (physics)Hausdorff dimensionTopologyElement (mathematics)SurfaceStudent's t-testKodimensionTheoremMathematicsAlgebraOperator (mathematics)Presentation of a groupSurfaceLocal ringIndependence (probability theory)Alpha (investment)Noether's theoremPositional notationAlgebraic structureTheoryDimensional analysisDifferential formSinc functionOcean currentNetwork topologyDynamical systemSymmetry (physics)Cartesian coordinate systemObject (grammar)Connected spaceConservation lawResultantHilbert spaceGauge theoryAnalytic continuationRight angleSpacetimeGamma functionComputer animation
Annulus (mathematics)Algebraic structureSymmetry (physics)Group actionNetwork topologySurfaceAlgebraic structureGroup representationOperator (mathematics)Prime idealKodimensionCorrespondence (mathematics)Sigma-algebraFiber bundleComputer animation
Group actionObject (grammar)Observational studyCross-correlationFunction (mathematics)Ocean currentAlgebraic structureAnnulus (mathematics)Object (grammar)KodimensionRule of inferenceSurfaceOcean currentCross-correlationFunctional (mathematics)Analytic continuationNetwork topologySymmetry (physics)Junction (traffic)Computer animationLecture/Conference
Symmetry (physics)Heegaard splittingTerm (mathematics)Cross-correlationFunction (mathematics)Algebraic structureSymmetry (physics)SurfaceDivergenceOcean currentTheoryFunctional (mathematics)Cross-correlationNetwork topologyAlgebraState of matterComputer animation
Algebraic structureSigma-algebraMaß <Mathematik>Theory of relativitySurfaceCondition numberLocal ringBraidSign (mathematics)Heegaard splittingGauge theoryLine (geometry)Operator (mathematics)Network topologyDimensional analysisSymmetry (physics)TheoryRiemann surfaceFiber bundleMathematical objectSpacetimeLogicMathematicsComputer animationDiagram
Symmetry (physics)Algebraic structureGauge theorySymmetry (physics)Correspondence (mathematics)Sign (mathematics)Sinc functionSurfaceArithmetic meanDimensional analysisConsistencyMultiplication signGauge theoryFiber bundleKodimensionComputer animationDiagram
Dimensional analysisGroup actionPhase transitionSymmetry (physics)Operator (mathematics)Algebraic structureTheoryContinuous functionSpacetimeLocal Group10 (number)SurfaceTerm (mathematics)MathematicsDimensional analysisCartesian coordinate systemVacuumState of matterGroup actionCycle (graph theory)ResultantSpectrum (functional analysis)Wave functionNumerical analysisSet theoryGoodness of fitNetwork topologySpacetimeComputer animation
Dimensional analysisSpacetimeSymmetric matrixVacuumSymmetry (physics)Algebraic structureDirection (geometry)Inverse elementAdditionTopologyOperator (mathematics)Hausdorff dimensionDifferent (Kate Ryan album)ConsistencySymmetry (physics)Direction (geometry)Right angleFlow separationCondition numberCartesian coordinate systemClassical physicsComputer animation
TheoryContinuous functionDimensional analysisSpacetimeLocal GroupGroup actionAlgebraic structureDirection (geometry)AdditionTopologyInverse elementOperator (mathematics)Hausdorff dimensionSymmetry (physics)AerodynamicsTheoremGauge theoryTensorModule (mathematics)AxiomMonoidal categoryCategory of beingDimensional analysisJunction (traffic)Network topologySymmetry (physics)Extension (kinesiology)Element (mathematics)Physical systemOperator (mathematics)Point reflectionPoint (geometry)Formal power seriesMass flow rateCartesian coordinate systemAlgebraSet theoryGroup actionSurfaceGradient descentNichtlineares GleichungssystemResultantGauge theoryQuantum field theoryKörper <Algebra>Heegaard splittingObject (grammar)Prime idealSigma-algebraKodimensionFilter <Stochastik>QuantumLattice (group)Computer animation
Direction (geometry)Inverse elementAdditionTopologyOperator (mathematics)Hausdorff dimensionSymmetry (physics)Algebraic structureAbelsche GruppeCartesian coordinate systemOperator (mathematics)TheoryResultantPresentation of a group2 (number)Dimensional analysisNetwork topologyObject (grammar)KodimensionLemma (mathematics)Symmetry (physics)SurfacePhysical systemModulformObservational studyComputer animation
Gauge theoryTheorySymmetry (physics)Operator (mathematics)TopologyLocal GroupHausdorff dimensionKörper <Algebra>SubgroupOcean currentAlgebraic structureOperator (mathematics)Line (geometry)KodimensionSurfaceSymmetry (physics)Körper <Algebra>Gauge theoryHiggs mechanismAnalytic continuationNumerical analysisLemma (mathematics)Object (grammar)Local ringMechanism designArithmetic meanDimensional analysisModulformAlgebraNetwork topologyTheoryComputer animation
TheoryDimensional analysisAdditionSymmetry (physics)Algebraic structureCartesian coordinate systemColor confinementSpectrum (functional analysis)Moment (mathematics)Inequality (mathematics)Group actionPhase diagramT-symmetryNetwork topologyPhase transitionManifoldSymmetry (physics)Gauge theorySurfaceLine (geometry)Object (grammar)Slide ruleSpecial unitary groupTheoryInstantonStandard deviationNumerical analysisOrder (biology)Körper <Algebra>Focus (optics)Parameter (computer programming)Dimensional analysisKodimensionColor confinementArithmetic meanThetafunktionTime domainFirst-order logicPiAngleTessellationFiber bundleDiagramForcing (mathematics)AreaComputer animation
Time domainPhysicsConstraint (mathematics)Algebraic structureSymmetry (physics)QuarkSymmetry (physics)Arithmetic meanT-symmetryVacuumWater vaporDirection (geometry)Universe (mathematics)AnalogyTime domainFluxConfiguration spaceThetafunktionReal numberPredictabilityQuarkObject (grammar)Energy levelCartesian coordinate systemState of matterInfinityConcentricTheoryPoint (geometry)Ring (mathematics)Color confinementExponentiationFood energyGroup actionNumerical analysisFraction (mathematics)Phase transitionMultiplication signTopologischer KörperString theoryGauge theoryComputer animationLecture/ConferenceDiagram
Expected valueTheoryT-symmetryPhase transitionQuarkCondensationVacuumRhombusMultiplicationPole (complex analysis)Lecture/Conference
Symmetry (physics)AerodynamicsGauge theoryLocal GroupMultiplicationTheoryAlgebraic structureDimensional analysisAdditionOperator (mathematics)TopologyInverse elementHausdorff dimensionAbelsche GruppeDirection (geometry)Mortality rateColor confinementSpectrum (functional analysis)Dimensional analysisThree-dimensional spaceTheoryCartesian coordinate systemSurfaceKodimensionSymmetry (physics)Operator (mathematics)SupersymmetryAngleGauge theoryMaxima and minimaKörper <Algebra>ModulformLine (geometry)Network topologySymmetric matrixMassComputer animationDiagram
Price indexExpected valueTheoryAlgebraic structureGauge theoryPrice indexTheoryDistancePhase transitionSupersymmetryMass flow rateComputer animationLecture/Conference
Symmetry (physics)AerodynamicsGauge theoryLocal GroupMultiplicationTheoryAlgebraic structureVacuumMortality rateParameter (computer programming)Price indexHeegaard splittingNetwork topologyModel theoryMatching (graph theory)T-symmetryWell-formed formulaLoop (music)TheorySymmetry (physics)Kodimension2 (number)ModulformSurfaceDimensional analysisComputer animation
TheoryAerodynamicsTheoremSymmetry (physics)Gauge theoryContinuous functionSpacetimeDimensional analysisLocal GroupGroup actionAlgebraic structureMortality rateDirection (geometry)Inverse elementAdditionTopologyOperator (mathematics)Hausdorff dimensionTime domainPhysicsConstraint (mathematics)VacuumRootT-symmetryEinheitswurzelSymmetry (physics)ModulformParameter (computer programming)WeightComputer animationDiagramLecture/Conference
Direction (geometry)TopologyInverse elementAdditionSymmetry (physics)Hausdorff dimensionOperator (mathematics)Algebraic structureOrientation (vector space)Dimensional analysisHeegaard splittingLine (geometry)Phase transitionT-symmetryGauge theoryThree-dimensional spaceComputer animationDiagram
SpacetimeDimensional analysisSymmetric matrixVacuumSymmetry (physics)TheoryAerodynamicsTheoremGauge theoryOperator (mathematics)TopologyLocal GroupSubgroupKörper <Algebra>Ocean currentMultiplicationAlgebraic structureMortality rateRootCross-correlationFunctional (mathematics)Mass flow rateParameter (computer programming)Maß <Mathematik>Invariant (mathematics)Gauge theoryThermodynamisches SystemDimensional analysisComputer animation
AerodynamicsTheoryGauge theoryIsomorphieklasseAlgebraic structureOrder (biology)Physical systemInvariant (mathematics)IsomorphieklasseLimit of a functionMultiplication signQuantum mechanicsClassical physicsFilter <Stochastik>SequenceSet theoryTheoryT-symmetryQuantumPhase transitionLimit (category theory)Gauge theorySymmetry (physics)Model theoryTheoremTopologischer KörperTensorPhase spaceAbelsche GruppePhysicalismLecture/Conference
AerodynamicsGauge theoryTheoryIsomorphieklasseMortality rateTime domainGroup actionContent (media)PhysicsDimensional analysisKörper <Algebra>TopologyInverse elementOperator (mathematics)Observational studyModel theorySymmetry (physics)Multiplication signEnergy levelRankingModel theoryQuantumT-symmetryDimensional analysisSymmetry (physics)ModulformTopologischer KörperTheoryComputer animation
Color confinementTime domainGroup actionContent (media)PhysicsDimensional analysisGauge theoryAlgebraic structureAerodynamicsTheoryIsomorphieklasseKörper <Algebra>Operator (mathematics)Inverse elementTopologyGauge theoryDimensional analysisParameter (computer programming)Line (geometry)MereologySurfaceSymmetry (physics)KodimensionMultiplication signCartesian coordinate systemComputer animation
Observational studyModel theorySymmetry (physics)Operator (mathematics)Cartesian coordinate systemOperator (mathematics)Symmetry (physics)Dimensional analysisLocal ringNetwork topologyWell-formed formulaModel theoryChirale SymmetrieModulformPoint (geometry)Generating set of a groupGauge theoryArithmetic meanKodimensionComputer animation
Model theoryGauge theoryTheoryAngleLoop (music)RotationParameter (computer programming)Algebraic structureLine (geometry)AnalogySymmetry (physics)TheoryModel theoryAngleComputer animation
Color confinementFundamental theorem of algebraSymmetry (physics)AdditionAlgebraic structureMortality rateConstraint (mathematics)Line (geometry)TheoryTopologyInverse elementOperator (mathematics)Fraction (mathematics)Rule of inferenceAbelian categoryModel theoryGroup actionPower (physics)Line (geometry)Network topologyComputer animation
Constraint (mathematics)Inverse elementTopologyLine (geometry)TheoryOperator (mathematics)Fraction (mathematics)Rule of inferenceAbelian categoryAlgebraic structureVacuumHeegaard splittingCircleRadiusQuotientQuantumLine (geometry)AxiomGreatest elementPentagonTheoryConstraint (mathematics)Identical particlesPotenz <Mathematik>Category of beingAlgebraNetwork topologyFrobenius method9 (number)Topologischer KörperComputabilityDynamical systemTwo-dimensional spaceModel theoryModule (mathematics)InfinityFood energyObject (grammar)Set theoryMathematical objectMonoidal categoryMonster groupBraidMultiplication signSinc functionRule of inferenceVacuumGauge theoryComputer animation
Constraint (mathematics)Line (geometry)Inverse elementPhysicsColor confinementVacuumInfinityAlgebraic structureCategory of beingParameter (computer programming)Continuous functionTopologyAbelian categoryTheoremSymmetry (physics)SurfaceDimensional analysisMathematicsAxiomConstraint (mathematics)Dynamical systemSymmetry (physics)Model theoryGroup actionMassAxiomCategory of beingGeneral relativityKodimensionLine (geometry)Dimensional analysisMathematicianTheoryBootstrap aggregatingAlgebraCycle (graph theory)Computer animation
Local GroupGeometric quantizationCoefficientAlgebraic structureInverse elementLine (geometry)AnalogyTheorySupersymmetryFrobenius methodAlgebraMass flow rateMassModel theoryGroup actionLimit (category theory)Dimensional analysisComputer animation
Social classEnergy levelFraction (mathematics)Term (mathematics)Numerical analysisGroup actionModel theoryAdditionEvent horizonRule of inferenceTheoryAlgebraQuantumTopologischer KörperFilter <Stochastik>Formal power seriesNetwork topologyLine (geometry)SupersymmetryLecture/Conference
PhysicsConstraint (mathematics)Time domainAlgebraic structureSymmetry (physics)Operator (mathematics)TopologyInverse elementAbelsche GruppeCartesian coordinate systemDimensional analysisSpacetimeSymmetric matrixVacuumTheoryContinuous functionLocal GroupGroup actionHeegaard splittingTerm (mathematics)Cross-correlationFunction (mathematics)2 (number)Rule of inferenceDimensional analysisTheoremPentagonParameter (computer programming)Object (grammar)ExistenceKodimensionSet theorySpacetimeAxiomJunction (traffic)TheoryDifferent (Kate Ryan album)T-symmetryCategory of beingSpontaneous symmetry breakingBoundary value problemIdentical particlesModel theorySeries (mathematics)FeldtheorieRight angleManifoldPower (physics)Symmetry (physics)Point (geometry)Computer animationDiagramLecture/Conference
Heegaard splittingSymmetry (physics)Term (mathematics)Cross-correlationFunction (mathematics)Algebraic structureContinuous functionTheoryDimensional analysisSpacetimeLocal GroupGroup actionDirection (geometry)Inverse elementAdditionTopologyOperator (mathematics)Hausdorff dimensionAerodynamicsGauge theoryMultiplicationOperator (mathematics)KodimensionModel theorySet theoryLine (geometry)Ising-ModellSymmetry (physics)Maxima and minimaKontraktion <Mathematik>Duality (mathematics)Identical particlesMany-sorted logicAlgebraGenerating set of a groupSequenceModulformProduct (business)Group actionDimensional analysisTerm (mathematics)Different (Kate Ryan album)Point (geometry)Computer animationDiagramLecture/Conference
ForceTheoryVacuumHeegaard splittingCircleRadiusLine (geometry)QuantumQuotientParameter (computer programming)Category of beingContinuous functionTopologyAbelian categoryTheoremLine (geometry)Maxima and minimaModel theorySet theoryTwo-dimensional spaceIsing-ModellRational numberGroup actionLattice (group)Right angleConformal field theoryComputer animation
TheorySymmetry (physics)Gauge theoryOperator (mathematics)Local GroupKörper <Algebra>SubgroupOcean currentContinuous functionSpacetimeDimensional analysisGroup actionDirection (geometry)Inverse elementAdditionTopologyHausdorff dimensionParameter (computer programming)Category of beingLine (geometry)Abelian categoryTheoremGeometric quantizationCoefficientAlgebraic structureAnalogyGroup actionGauge theoryModulformMass flow rateKeilförmige AnordnungLine (geometry)Arithmetic meanDimensional analysisMathematicianPhysicistMusical ensembleComputer animationLecture/Conference
Transcript: English(auto-generated)