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 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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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.
    • CommentAuthorzskoda
    • CommentTimeMar 20th 2013

    Many more references and a couple of new sentences in Idea section of logarithmic CFT stub.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 20th 2013

    Thanks, that’s good.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 28th 2021

    added pointer to today’s:

    • Thomas Creutzig, Simon Lentner, Matthew Rupert, Characterizing braided tensor categories associated to logarithmic vertex operator algebras (arXiv:2104.13262)

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2022
    • (edited Feb 10th 2022)

    For when the editing functionality is back, to add pointer to fractional-level WZW models understood as logarithmic CFTs:

    with review in:

    • David Ridout, Fractional Level WZW Models as Logarithmic CFTs, 2010 (pdf)

    • Thomas Creutzig, David Ridout, Logarithmic conformal field theory: beyond an introduction, J. Phys. A: Math. Theor. 46 (2013) 494006 (doi:10.1088/1751-8113/46/49/494006, arXiv:1303.0847)

    and of more recent developments:

    • David Ridout, Fractional-level WZW models, 2020 (pdf)
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2022

    added (here) a References-section of fractional-level WZW models as logarithmic CFTs

    will split this off as a bare list of references to be re-!include-ed here, so that it can easily be included also elsewhere (notably at WZW model)

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2022
    • (edited Jun 9th 2022)

    Here is what I am after:

    logarithmic CFT for describing topologically ordered Laughlin-type wavefunctions

    (review in Flohr 2003, §5.4)

    But i need to call it quits for tonight.

    diff, v6, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJun 10th 2022

    added pointer to:

    diff, v7, current

    • CommentRowNumber8.
    • CommentAuthorNikolajK
    • CommentTimeJun 12th 2022

    “…in the class of irrational” doesn’t sound like it’s supposed to be the end of the sentence.

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJun 12th 2022

    Thanks for the alert. I had not even looked at the Idea-sentences in a long while. They were written by Zoran back in rev 2.

    I have now deleted the first sentence and replaced it by:

    A 2d CFT is called logarithmic (LCFT) if it looks like a rational conformal field theory except that some of the 2-point functions may have a logarithmic dependence on the field insertion, in addition to the usual power law (see, e.g. Fuchs & Schweigert 2019, (8) for a clear account).

    diff, v12, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJun 12th 2022

    I have now also removed the remaining old sentences from the Idea-section (they seemed a little dubious and in any case not too helpful) and instead added explicit mentioning of the main examples (now here.)

    diff, v13, current