Orbifold defect

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August undefined, 2024

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. 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 ).

Defect lines, dualities, and generalised orbifolds – arXiv Vanity

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 … 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 … c \\u0026 f finance company henrico va

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

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 … 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 … 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. c \u0026 f finance company payoff address

[1310.0062] A quick guide to defect orbifolds - arXiv.org

Orbifolds of n–dimensional defect TQFTs - Semantic …

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. 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 … c \u0026 f finance company complaints ea sports its in the game me

"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. " - Orbifold defect

Orbifold defect

Orbifold completion of defect bicategories - ResearchGate

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 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.

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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- 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 = …

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. 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 …

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). 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 ...

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 ...

WebWe construct the wave functions of o -shell Bethe states as orbifold defects in the A- twisted supersymmetric gauge theory and study their correlation functions. We also present an alternative description of o -shell Bethe states as boundary conditions in an e ective N= 4 supersymmetric quantum mechanics. c \u0026 f finance company henrico vaWebOrbifolds 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 … ea sports it\u0027s to the gameWebJul 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... ea sports it\\u0027s in the game voice actorWebThis 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. ea sports job boardWeb3.5 Orbifold equivalence and the backwards orbifold References 1Introduction Defects are impurities, discontinuities, boundary conditions, or other ways of mod-ifying a quantum … c \\u0026 f finance company richmond vaWebventional 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 ea sports it\\u0027s to the gameWebDefects 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). ea sports its only game