Orbifold defect

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August undefined, 2024

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 ). 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 …

Defect lines, dualities, and generalised orbifolds - uni …

Webdefect Atogether with two junctions, subject to certain properties detailed in Section 3.3, and deﬁne the correlator on the left of (1.4) by the correlator on the right. The collection of correlators obtained in this way will be called the generalised orbifold of theory aby the defect A(with junctions). 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. how many definition

Orbifolds and Topological Defects - ResearchGate

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 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 … high tech smartwatch

Symmetry defects and orbifolds of two-dimensional …

Orbifolds and topological defects - arXiv

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 … 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 ... high tech small scale mushroom farmingWeb4 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 high tech smart glasses

"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). " - Orbifold defect

Orbifold defect

Orbifold completion of defect bicategories - arXiv

Web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 … WebTo 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 …

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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. 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 …

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 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.

WebDefects 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-

WebDefects 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 … high tech socksWebThis 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... how many definitions are there for bankWebFeb 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 … high tech sofasWebJul 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 … high tech smart furnitureWebOct 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 … how many degenerate orbitals in d subshellWebSep 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 … high tech soccer equipmentWebJul 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... how many degree in a circle