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
    • CommentTimeAug 26th 2011

    added to Yang-Mills instanton a discussion of instantons as tunnelings between Chern-Simons vacua.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 27th 2011

    I have further expanded at Yang-Mills instanton the discussion, adding full detail to the statement about gradient flow (making the Hodge metric on forms and the respective gradient of the Chern-Simons functional fully manifest)

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 7th 2019

    added cross-link (here) with Dp-D(p+4)-brane bound state

    diff, v25, current

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 18th 2019

    My eyes lighted on this. I don’t have a vested interest, but the theory of Yang-Mills instantons as set out in the nLab reads as if a correction to, in fact a complete reworking of, the usual story as told in textbooks, and I’m just wondering whether all this is original research of Urs with some contributions by a few others like Igor Khavkine and David Roberts (looking at the history of the article). It’s a little hard to tell from the article what is due to whom.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2019
    • (edited Nov 18th 2019)

    Thanks, Todd.

    Just to say that this is all written by me. Checking the history, David R. And Igor K. made trivial edits in this case (adding a cross-link and a doi-link to the references). Also, the bulk of the entry is actually !include-ed from SU2-instantons from the correct maths to the traditional physics story. (I had split that off as an include-file in order to be able to use it also in other entries related to instantons.)

    I would want to believe that most mathematical physicists, when pressed would produce this explanation of instanton sectors. But when I was digging into the literature to find good citations, I didn’t find any. Which is why I ended up writing down this account.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2019

    (In retrospect, this discussion of instantons via the one-point compactification eventually led to the discussion in Equivariant Cohomotopy implies orientifold tadpole cancellation.)

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 19th 2020

    added pointer to

    diff, v32, current

  1. Sign typo corrected in the definition of self-duality. The correction matches the choice of sign used later in the text.

    Jonathan Esole

    diff, v36, current