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 comma 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 finite 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-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
    • CommentTimeMay 16th 2011

    I have considerably expanded the entry sigma-model and will probably continue to do so in small steps in the nearer future (with interruptions). This goes in parallel with a discussion we are having on the nnCafé here.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 26th 2011

    I have now filled content into the section Chern-Simons theory as a σ\sigma-model at sigma-model . As with the previous sections, I am posting this to the nnCafé here.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 28th 2011
    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 6th 2011
    • (edited Jun 6th 2011)

    wrote a section string topology as a sigma-model – also posted this to the Café here

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2011

    Since the entry sigma-model would not save any more (too long) I have splitt off the Exposition-subsections as separate entries

    Then I expanded a little the second one of these, adding remarks on AKSZ theory.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 1st 2014
    • (edited Jul 1st 2014)

    added a pointer to Witten 08 here, where in section 6 is something that is meant as an explanation of the stack of G-connections for physicists.

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 22nd 2022

    Corrected the redirect “∞-model” to “σ-model”.

    diff, v74, current

    • CommentRowNumber8.
    • CommentAuthorperezl.alonso
    • CommentTimeOct 30th 2023

    pointers to Friedan’s original 2d renormalization articles.

    diff, v76, current

    • CommentRowNumber9.
    • CommentAuthorperezl.alonso
    • CommentTimeOct 30th 2023

    General exposition of nn-dimensional σ\sigma-models, including the fact that these are non-renormalizable for n3n\geq 3:

    • Christopher Hull. “Lectures on Non-Linear Sigma-Models and Strings”. In Super field theories, pp. 77-168. Boston, MA: Springer US, 1987.

    diff, v76, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeOct 30th 2023
    • CommentRowNumber11.
    • CommentAuthorperezl.alonso
    • CommentTimeNov 10th 2023

    Added reference:

    • Rafał R. Suszek. Towards higher super-σ\sigma-model categories. (2023). (arXiv:2311.01768).

    (as a sidenote, since this is a paper about super-σ\sigma-models on gerbes, WZW models, and mentions prequantization a couple of times, it’s missing some obvious references…)

    diff, v78, current