Orbifold defect

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August undefined, 2024

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... WebOrbifolds 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 …

Orbifolds and Topological Defects SpringerLink

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. biting a fluorescent bulbs

Orbifolds and Topological Defects - ResearchGate

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... 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 … Web3.5 Orbifold equivalence and the backwards orbifold References 1Introduction Defects are impurities, discontinuities, boundary conditions, or other ways of mod-ifying a quantum … data analytics in different industries

Symmetry defects and orbifolds of two-dimensional Yang …

[0909.5013] Defect lines, dualities, and generalised orbifolds - arXiv.org

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. Webventional orbifold theory we recover from the universal defect perspective, leading to new and eﬃcient techniques to compute orbifold bulk/boundary correlators and hence RR brane charges and superpotential terms. Furthermore, we ex-plain how to compute defect actions on twisted bulk ﬁelds. On the other hand, 2 biting advice to parentsWebTo summarise: the study of topological defects and defect junctions leads to a generalisation of the concept of an orbifold which provides a uniform description of … data analytics industry

"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. " - Orbifold defect

Orbifold defect

Defect lines, dualities, and generalised orbifolds - uni …

WebSep 30, 2013 · [1310.0062] A quick guide to defect orbifolds We provide a lightning review of the construction of (generalised) orbifolds [arXiv:0909.5013, arXiv:1210.6363] of two … 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 …

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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. 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.

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 … 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 …

WebApr 2, 2024 · For , this is the codimension-two defect of Kanno and Tachikawa which may be realised as a orbifold in M-theory, see table 5. Finally, KK reducing along the circle on which we performed the final T-duality (from tables 3 to 4 ) leads to the 5d circular/necklace quiver gauge theory on in the presence of the defect along the circle (see figure 2 ). 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 …

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 = …

WebOrbifold 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 ... data analytics incWeb基本构造Orbifold是弦论和CFT中常用的构造，一些基本的计算可以参考史诗生物：共形场论杂记：紧致化标量，Z2-orbifold一般而言，考虑如下玻色弦的orbifold f:\\Sigma\\to … data analytics in ehrsWebDefects 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 … data analytics in energy managementWebOct 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 … data analytics in ecommerceWebSep 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. biting a gold coinWebA 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 … data analytics in electric vehiclesWebDefects 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- biting a finger