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Duality defects in \(E_8\) (Q2683997)

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scientific article; zbMATH DE number 7653940

Language	Label	Description	Also known as
English	Duality defects in \(E_8\)	scientific article; zbMATH DE number 7653940

Statements

scholarly article

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Duality defects in \(E_8\) (English)

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Ivan M. Burbano

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Journal of High Energy Physics

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publication date

15 February 2023

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full work available at URL

https://arxiv.org/abs/2112.14323

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zbMATH Keywords

discrete symmetries

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global symmetries

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anomalies in field and string theories

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describes a project that uses

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MaRDI profile type

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Defect Lines in the Ising Model and Boundary States on Orbifolds

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Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line

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Generalised twisted partition functions

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TFT construction of RCFT correlators. I: Partition functions

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TFT construction of RCFT correlators. II: Unoriented world sheets

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TFT construction of RCFT correlators. III: Simple currents

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TFT construction of RCFT correlators. IV: Structure constants and correlation functions

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The moonshine anomaly

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The quantum double model with boundary: condensations and symmetries

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Anyon condensation and tensor categories

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Topological defects on the lattice. I: The Ising model.

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Topological defect lines and renormalization group flows in two dimensions

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Orbifold groupoids

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Symmetries and strings of adjoint \(\mathrm{QCD}_2\)

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Topological operators and completeness of spectrum in discrete gauge theories

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Generalized global symmetries

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On finite symmetries and their gauging in two dimensions

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Statistics of the Two-Dimensional Ferromagnet. Part I

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Duality and defects in rational conformal field theory

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Non-invertible topological defects in 4-dimensional $\mathbb {Z}_2$ pure lattice gauge theory

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A natural representation of the Fischer-Griess Monster with the modular function <i>J</i> as character

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Beauty and the beast: Superconformal symmetry in a monster module

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Duality defect of the monster CFT

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Universal correlators and novel cosets in 2d RCFT

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Anomalies and bosonization

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Fusion rules and modular transformations in 2D conformal field theory

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On fusion categories.

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Symmetries and anomalies of \((1+1)d\) theories: 2-groups and symmetry fractionalization

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Orbifold completion of defect bicategories

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Modular invariance and discrete torsion on orbifolds

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On orbifolds with discrete torsion

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Discrete torsion and shift orbifolds

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Infinite conformal symmetry in two-dimensional quantum field theory

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Topological gauge theories and group cohomology

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Tensor categories with fusion rules of self-duality for finite abelian groups

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Representations of tensor categories with fusion rules of self-duality for abelian groups

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Tensor Categories

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Generalized vertex algebras and relative vertex operators

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Introduction to vertex operator algebras and their representations

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Conformal field theories with sporadic group symmetry

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Conformal field theories, representations and lattice constructions

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Construction and classification of holomorphic vertex operator algebras

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A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications

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Conformal field theory

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Vertex algebras associated with even lattices

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Quantum field theory and the Jones polynomial

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Calculus of twisted vertex operators

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The algebraic structure of relative twisted vertex operators

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TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS

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On axiomatic approaches to vertex operator algebras and modules

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Automorphisms of finite order of semisimple Lie algebras

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Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra.

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\(C_2\)-cofiniteness of cyclic-orbifold models

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Symmetries of abelian Chern-Simons theories and arithmetic

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On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories

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Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories

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Spin Structures and Quadratic forms on Surfaces

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Riemann surfaces and spin structures

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Fermionic symmetry protected topological phases and cobordisms

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\(U(1)\) spin Chern-Simons theory and Arf invariants in two dimensions

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The Magma algebra system. I: The user language

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Bicategories for boundary conditions and for surface defects in 3-d TFT

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Gapped boundary theories in three dimensions

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On braided fusion categories. I

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On the classification of topological orders

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On the structure of the Witt group of braided fusion categories

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Weakly group-theoretical and solvable fusion categories

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From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories

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The Witt group of non-degenerate braided fusion categories

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State sum invariants of 3-manifolds and quantum \(6j\)-symbols

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Fault-tolerant quantum computation by anyons

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Universal quantum computation with ideal Clifford gates and noisy ancillas

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Models for gapped boundaries and domain walls

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State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter

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Centers of graded fusion categories

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RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

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Braided tensor categories and extensions of vertex operator algebras

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A remark on gapped domain walls between topological phases

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Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case

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Generalized orbifold construction for conformal nets

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Modular categories and orbifold models

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Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory

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Identifiers

10.1007/JHEP10(2022)187

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2683997

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