Orbifold defect
Web3.5 Orbifold equivalence and the backwards orbifold References 1Introduction Defects are impurities, discontinuities, boundary conditions, or other ways of mod-ifying a quantum … 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 …
Orbifold defect
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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 ). 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.
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 = … 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.
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 …
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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 … higgledy house pie magic showWebFeb 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 … higgledy house tv plotWebJul 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... higgledy house tv seriesWebDefects 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- higgledy garden twitterWebFeb 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. how far is daytona florida from miamiWebSep 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. higgledy house tv show episodesWebA 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 … higgledy house sick