Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundle bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2020

    starting something – not done yet, but need to save

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 19th 2020
    • (edited Feb 19th 2020)

    Prompted by a new article on the arXiv today, I added pointers to “holographic duality”, though these may eventually need to go to their own entry:

    • Kevin Costello, Davide Gaiotto, Twisted Holography (arXiv:1812.09257)

    • Jihwan Oh, Yehao Zhou, Feynman diagrams and Ω\Omega-deformed M-theory (arXiv:2002.07343)

    Is Koszul duality still considered a thing here? It’s not being mentioned anymore…

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 19th 2020

    Not being mentioned where? It appears in the second article you just added.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 19th 2020

    Ah, right, thanks. I was being stupid.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 22nd 2021

    added pointer to today’s

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 22nd 2021
    • (edited Oct 22nd 2021)

    Looking at this entry there should be an indication explaining the ’holography’ of the title. It’s doing this indirectly via the link to AdS/CFT duality.

    But then even there at AdS/CFT duality we don’t reach the term ’holography’ until a way down the page, and even then there’s not a link to holographic principle.

    I’d add something myself, but I don’t know quite the extent of these terms.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 22nd 2021
    • (edited Oct 22nd 2021)

    Okay, I have added a paragraph mentioning the “holographic principle” to the beginning of the Idea-section at AdS/CFT correspondence (as just announced in its discussion thread here).

    Regarding the present entry here on Koszul duality and holography, I should admit that, for the time being, I am using it just to record references so that I know where to find them once I want to go and read them, which by and large I have not yet. So I am not going to defend anything here for the time being, starting with the title of the entry.

    Scanning over the lastest article arXiv:2110.10257 I find it curious that the identification of MC-elements with dgca-morphisms out of the Koszul dual is highlighted, a basic point which I had once tried to highlight here and which underlies most articles related to L L_\infty-algebras which I ever co-authored. Maybe that signals a point of contact. Or… scanning further through the article… maybe not :-)