Conformal field theory from lattice fermions (Q2684494)

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scientific article; zbMATH DE number 7654503

Language	Label	Description	Also known as
English	Conformal field theory from lattice fermions	scientific article; zbMATH DE number 7654503

Statements

scholarly article

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Conformal field theory from lattice fermions (English)

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Tobias J. Osborne

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A. Stottmeister

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Communications in Mathematical Physics

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publication date

16 February 2023

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full work available at URL

https://arxiv.org/abs/2107.13834

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MaRDI profile type

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Non-perturbative methods in two-dimensional quantum field theory.

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On quasifree states of CAR and Bogoliubov automorphisms

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Local nets of von Neumann algebras in the sine-Gordon model

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Infinite conformal symmetry in two-dimensional quantum field theory

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Generalized inductive limits of finite-dimensional \(C^*\)-algebras

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Vertex algebras, Kac-Moody algebras, and the Monster

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Characterization of local observables in integrable quantum field theories

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Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups

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Modular structure and duality in conformal quantum field theory

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The current algebra on the circle as a germ of local field theories

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On fermionic gauge groups, current algebras and Kac-Moody algebras

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On the uniqueness of diffeomorphism symmetry in conformal field theory

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From Vertex Operator Algebras to Conformal Nets and Back

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Universality in the 2D Ising model and conformal invariance of fermionic observables

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Conformal invariance of spin correlations in the planar Ising model

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Ten Lectures on Wavelets

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Conformal field theory

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MEAN-FIELD DYNAMICAL SEMIGROUPS ON C*-ALGEBRAS

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A short course on operator semigroups

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Completely positive quasi-free maps on the CAR algebra

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Integrability and braided tensor categories

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Implementation of automorphisms and derivations of the CAR-algebra

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Basic representations of affine Lie algebras and dual resonance models

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Operator algebras and conformal field theory

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A local logarithmic conformal field theory

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A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I

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The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum

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Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.

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Unitary representations of the Virasoro and super-Virasoro algebras

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Projective unitary positive-energy representations of \(Diff(S^ 1)\)

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The action of the Virasoro algebra in quantum spin chains. I: The non-rational case

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The spin-\(1/2\) \(XXZ\) Heisenberg chain, the quantum algebra \(U_q[sl(2)]\), and duality transformations for minimal models

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Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space

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A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory

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An Algebraic Approach to Quantum Field Theory

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A theory of regularity structures

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Wavelets, approximation, and statistical applications

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Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure

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Some unitary representations of Thompson's groups \(F\) and \(T\)

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A no-go theorem for the continuum limit of a periodic quantum spin chain

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Scale invariant transfer matrices and Hamiltionians

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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)

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Symplectic fermions

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Classification of local conformal nets. Case \(c < 1\)

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Representations of the Virasoro algebra from lattice models.

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Matrix product approximations to conformal field theories

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Construction of quantum field theories with factorizing S-matrices

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Two soluble models of an antiferromagnetic chain

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Quasi-free 'second quantization'

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Scaling limits of lattice quantum fields by wavelets

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Analytic vectors

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Holonomic quantum fields. IV

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'Duality twisted' boundary conditions in n-state Potts models

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Towards conformal invariance of 2D lattice models

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Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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Geometric realization of algebraic conformal field theories

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Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators

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Quantum circuit approximations and entanglement renormalization for the Dirac field in \(1+1\) dimensions

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Some results on relative entropy in quantum field theory

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of anyonic chains

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00220-022-04521-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:2684494

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