Orbifold defect

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August undefined, 2024

WebCritical phenomena in the two-dimensional Ising model with a defect line are studied using boundary conformal field theory on the c = 1 orbifold. Novel features of the boundary … WebFeb 18, 2015 · Orbifolding two-dimensional quantum field theories by a symmetry group can involve a choice of discrete torsion. We apply the general formalism of ‘orbifolding defects’ to study and elucidate discrete torsion for topological field theories.

NestedcoordinateBethewavefunctionsfromthe …

WebMar 3, 2024 · Defects are impurities, discontinuities, boundary conditions, or other ways of modifying a quantum field theory which are localised on submanifolds of various … WebMar 5, 2010 · It should be mentioned in that most uses of the word "orbifold" in string theory refer to global orbifolds, so riemannian manifolds of the form M / G where M is a riemannian manifold and G a finite subgroup of isometries. In most applications, M is actually a euclidean space or a torus. truworths greenacres port elizabeth

Defect lines, dualities, and generalised orbifolds - uni …

WebThis disadvantage is removed by substituting a two-stage electrostatic field for the usual single one. General formulae for determining the distances between the elements of the optical system are... WebA generalised orbifold of a defect TQFT $\mathcal{Z}$ is another TQFT $\mathcal{Z}_{\mathcal{A}}$ obtained by performing a state sum construction internal to $\mathcal{Z}$. As an input it needs a so-called orbifold datum $\mathcal{A}$ which is used to label stratifications coming from duals of triangulations and is subject to conditions … WebDefects are geometrically realised as a system of submanifolds of a bordism. To specify the types of allowed neighbourhoods for the submanifolds in a defect TQFT, we rely on the concept of stratiﬁcations, as discussed in [CMS] or in [Pf] (where the term “decomposed space” is used). philips norelco bg2040 bodygroom

Symmetry defects and orbifolds of two-dimensional Yang …

WebFeb 8, 2016 · Orbifolds of two-dimensional quantum field theories have a natural formulation in terms of defects or domain walls. This perspective allows for a rich generalisation of the orbifolding procedure, which we study in detail for the case of topological field theories. Namely, a TFT with defects gives rise to a pivotal bicategory of "world sheet phases" and … WebOrbifolds have tangent bundles and we can talk about differential forms on orbifolds, de Rham complex, connnections on vector bundles and the Levi-Civitta connection in the same way as for manifolds. The cleanest way to define connections might be the framework of connections on principal bundles. truworths head office addressWeb3.5 Orbifold equivalence and the backwards orbifold References 1Introduction Defects are impurities, discontinuities, boundary conditions, or other ways of mod-ifying a quantum … philips norelco bodygroom 3000

"Web4 Nested coordinate Bethe wavefunctions from orbifold defects 9 4.1 Orbifold defect for A1 quiver 10 4.2 Orbifold defect for a simple AM quiver 13 5 Generalizations by Higgsing 15 5.1 Higgsing 16 5.1.1 Higgsing the AM quiver on the left hand side of ﬁgure 5 17 5.1.2 Higgsing the equivariant characters (3.1) 17 5.2 Orbifold defect for A2 quiver 19 " - Orbifold defect

Orbifold defect

Orbifold completion of defect bicategories - arXiv

WebApr 29, 2014 · We study orbifolds of two-dimensional topological field theories using defects. If the TFT arises as the twist of a superconformal field theory, we recover results on the Neveu–Schwarz and Ramond sectors of the orbifold theory, as well as bulk-boundary correlators from a novel, universal perspective. WebSep 5, 2024 · These orbifolds have a global two-form symmetry, and so one expects that they decompose into (are equivalent to) a disjoint union of other three-dimensional theories, which we demonstrate. These theories can be interpreted as sigma models on 2-gerbes, whose formal structures reflect properties of the orbifold construction.

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WebNov 9, 2024 · bstract. We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d \mathcal {N} = (2, 2) supersymmetric gauge theories to include aspects of the algebraic Bethe ansatz. We construct the wave functions of off-shell Bethe states as orbifold defects in the A-twisted supersymmetric gauge theory and study their correlation ... WebGoal. Unify and generalise orbifold and state sum constructions Method. defects and higher algebra Slogans. \State sum models = orbifolds of the trivial theory" \General orbifolds = …

WebAug 24, 2024 · The Bogomol’nyi-Prasad-Sommerfield (BPS) states of the theory are encoded in a 1D quiver quantum mechanics gauge theory which determines the possible 1-form and 2-form symmetries. We also show that this same data can also be extracted by a direct computation of the corresponding defect group associated with the orbifold singularity. WebJul 11, 2013 · The generalized orbifold procedure [8,17, 18, 19,9,20] is a method to produce a new theory out of a given 2d TQFT T by inserting networks of an endo-defect A : T → T into its correlation...

WebJul 11, 2013 · The generalized orbifold procedure [8,17, 18, 19,9,20] is a method to produce a new theory out of a given 2d TQFT T by inserting networks of an endo-defect A : T → T … WebFeb 16, 2024 · We review the properties of orbifold operations on two-dimensional quantum field theories, either bosonic or fermionic, and describe the “Orbifold groupoids” which control the composition of orbifold operations. Three-dimensional TQFT’s of Dijkgraaf-Witten type will play an important role in the analysis.

WebCritical phenomena in the two-dimensional Ising model with a defect line are studied using boundary conformal field theory on the c = 1 orbifold. Novel features of the boundary states arising from the orbifold structure, including continuously varying boundary critical exponents, are elucidated. New features of the Ising defect problem are obtained …

WebThis captures the algebraic essence of defect TQFTs, and it gives precise meaning to the fusion of line and surface defects as well as their duality operations. As examples, we discuss how Reshetikhin-Turaev and Turaev-Viro theories embed into our framework, and how they can be extended to defect TQFTs. philips norelco bodygroom series 3100 reviewWebDefects are a useful tool in the study of quantum eld theories. This is illustrated in ... dualities, as well as in the orbifold construction and a generalisation thereof that covers … truworths head office cape townWebOct 23, 2012 · Orbifolds of two-dimensional quantum field theories have a natural formulation in terms of defects or domain walls. This perspective allows for a rich … philips norelco bodygroom series 1100 reviewWebOrbifold completion of defect bicategories - Universität Hamburg. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian česk ... philips norelco bodygroom series 7000 manualWebDefects are a useful tool in the study of quantum eld theories. This is illustrated in ... dualities, as well as in the orbifold construction and a generalisation thereof that covers exceptional modular invariants. 1 Introduction Defects in a quantum eld theory or in a model of statistical mechanics correspond to ‘inho- truworths head office contactWebOrbifolds of two-dimensional quantum field theories have a natural formulation in terms of defects or domain walls. This perspective allows for a rich generalisation of the orbifolding procedure, which we study in detail for the case of topological field theories. Namely, a TFT with defects gives rise to a pivotal bicategory of "worldsheet phases" and defects … philips norelco bodygroom series 7000 targetWebMay 17, 2024 · Orbifolds of two-dimensional quantum field theories have a natural formulation in terms of defects or domain walls. This perspective allows for a rich … philips norelco bodygroom video