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 … 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...

Orbifolds of n-dimensional defect TQFTs - arxiv.org

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. 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). sharc wave glider

Defect lines, dualities, and generalised orbifolds - uni …

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. Web3.5 Orbifold equivalence and the backwards orbifold References 1Introduction Defects are impurities, discontinuities, boundary conditions, or other ways of mod-ifying a quantum … 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 … shard 0

Orbifold completion of defect bicategories EMS Press

Expanding the Bethe/Gauge dictionary SpringerLink

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. 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). pool crystalsWebDefects 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 … pool cue brands best

"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. " - Orbifold defect

Orbifold defect

Orbifolds of n-dimensional defect TQFTs - arxiv.org

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 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...

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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 ... 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.

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 exceptional modular invariants. 1 Introduction Defects in a quantum eld theory or in a model of statistical mechanics correspond to ‘inho-

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 ). 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.

WebOct 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 …

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 ... sharc wastewater heat recoveryWebCritical 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 … pool cue bridge stickWebApr 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. pool cue butt bumperWebJul 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 … shard 1 got selected for forest data not usWebGoal. Unify and generalise orbifold and state sum constructions Method. defects and higher algebra Slogans. \State sum models = orbifolds of the trivial theory" \General orbifolds = … pool cue break stickWebOrbifolds 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 … shard 1 osrsWebThis 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. sharc waste water heat recovery system