Modular structure and duality in conformal quantum field theory

From MaRDI portal
Publication:1308735

DOI10.1007/BF02096738zbMath0809.46086arXivfunct-an/9302008MaRDI QIDQ1308735

V. Pereyra

Publication date: 3 April 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9302008




Related Items (99)

ON SOLITON AUTOMORPHISMS IN MASSIVE AND CONFORMAL THEORIESQUANTUM NOETHER'S THEOREM AND CONFORMAL FIELD THEORY: A STUDY OF SOME MODELSLOOKING BEYOND THE THERMAL HORIZON: HIDDEN SYMMETRIES IN CHIRAL MODELSGEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPSEXTENSION OF ANTI-AUTOMORPHISMS AND PCT-SYMMETRYA note on essential dualityConformal nets. II: Conformal blocksTwo-dimensional models as testing ground for principles and concepts of local quantum physicsRepresentations of conformal nets, universal \(C^*\)-algebras and \(K\)-theoryConstruction of field algebras with quantum symmetry from local observablesA note on Haag dualityLocal conformal nets arising from framed vertex operator algebrasTopological sectors and a dichotomy in conformal field theoryWhen does Lorentz invariance imply wedge duality?An algebraic spin and statistics theoremThe quantum symmetry of rational field theoriesToward entanglement entropy with UV-cutoff in conformal netsA new approach to spin \& statisticsLOCAL NATURE OF COSET MODELSHow to add a boundary conditionCharacterizing invariants for local extensions of current algebrasModular inclusion, the Hawking temperature, and quantum field theory in curved spacetimeConformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansionsLocalized endomorphisms of the chiral Ising modelAsymptotic completeness for infraparticles in two-dimensional conformal field theoryA skeletal model for \(2\mathrm{d}\) conformal AQFTsThe conformal spin and statistics theoremSpin, statistics, and reflections. II: Lorentz invarianceNuclearity and thermal states in conformal field theoryBraided categories of endomorphisms as invariants for local quantum field theoriesNon-equilibrium thermodynamics and conformal field theoryConformal covariance and the split propertyUnnamed ItemThe massless modular HamiltonianTowards integrable perturbation of \(2d\) CFT on de Sitter spaceGlobal aspects of conformal symmetry and the ANEC in dS and AdSQuantum operations on conformal netsOn the mass dependence of the modular operator for a double coneLocal Poincaré algebra from quantum chaosTopological features of massive bosons on two-dimensional Einstein space-timeGeneralized orbifold construction for conformal netsThe CPT and Bisognano-Wichmann theorems for anyons and plektons in \(d=2+1\)Conformal field theory from lattice fermionsModular Hamiltonian of the scalar in the semi infinite line: dimensional reduction for spherically symmetric regionsMultilocal fermionizationWightman fields for two-dimensional conformal field theories with pointed representation categoryLocalization in quantum field theoryInfinite index extensions of local nets and defectsAn algebraic version of Haag's theoremModular conjugations in 2D conformal field theory and holographic bit threadsOn induction for twisted representations of conformal netsConformal quantum field theory and subfactorsNoninteraction of waves in two-dimensional conformal field theoryConstruction of wedge-local nets of observables through Longo-Witten endomorphismsThe Bisognano-Wichmann property for asymptotically complete massless QFTOn the quantum symmetry of the chiral Ising modelRestricting positive energy representations of \(\text{Diff}^{+}(S^{1})\) to the stabilizer of \(n\) pointsThermal states in conformal QFT. ICPT invariance, the spin-statistics connection, and the ontology of relativistic quantum field theoriesAntiunitary representations and modular theoryNets of standard subspaces on Lie groupsOn revolutionizing quantum field theory with Tomita’s modular theoryConformal nets. IV: The 3-categoryFrom Vertex Operator Algebras to Conformal Nets and BackGEOMETRIC MODULAR ACTION FOR DISJOINT INTERVALS AND BOUNDARY CONFORMAL FIELD THEORYModels in boundary quantum field theory associated with lattices and loop group modelsSplit property for free massless finite helicity fieldsSolitonic sectors, \(\alpha\)-induction and symmetry breaking boundariesFrom operator algebras to superconformal field theoryUnitarity of the modular tensor categories associated to unitary vertex operator algebras. II.Deciphering the algebraic CPT theoremSolitons in affine and permutation orbifoldsConformal orbifold theories and braided crossed \(G\)-categoriesCompact hypergroups from discrete subfactorsCHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMESCONFORMAL COVARIANCE OF MASSLESS FREE NETSGeneralized natural boundary conditions for fractional variational problems in terms of the Caputo derivativeMODULAR LOCALIZATION AND WIGNER PARTICLESModular Hamiltonians for the massless Dirac field in the presence of a boundaryModular Hamiltonians for the massless Dirac field in the presence of a defectOn the modular operator of mutli-component regions in chiral CFTEntropic order parameters for the phases of QFTAlgebraic Conformal Quantum Field Theory in PerspectiveEntropy distribution of localised statesUnnamed ItemUnnamed ItemThe construction of pointlike localized charged fields from conformal Haag-Kastler netsMASSLESS SCALAR FREE FIELD IN 1+1 DIMENSIONS I: WEYL ALGEBRAS PRODUCTS AND SUPERSELECTION SECTORSBisognano-Wichmann property for rigid categorical extensions and non-local extensions of conformal netsFinite dimensional semigroups of unitary endomorphisms of standard subspacesA family of non-modular covariant AQFTsScale and Möbius covariance in two-dimensional Haag-Kastler netFractional calculus of variations for a combined Caputo derivativeSemigroups in \(3\)-graded Lie groups and endomorphisms of standard subspacesNoncommutative spectral invariants and black hole entropyModular origin of chiral diffeomorphisms and their fuzzy analogs in higher-dimensional quantum field theoriesSuperconformal nets and noncommutative geometryCONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMSMassless Wigner particles in conformal field theory are free



Cites Work


This page was built for publication: Modular structure and duality in conformal quantum field theory