Not signed in

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

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 7th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting something -- remains a stub for the moment, to be continued <a href="https://ncatlab.org/nlab/revision/Laughlin+wavefunction/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Laughlin+wavefunction">current</a>

   starting something – remains a stub for the moment, to be continued

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 7th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexWhat I am really after, for the moment, is whether the idea that is visible in equation (3) of * [[Tian Lan]], *Matrix formulation for non-Abelian families*, Phys. Rev. B **100** 241102 (2019) $[$[arXiv:1908.02599](https://arxiv.org/abs/1908.02599), [doi:10.1103/PhysRevB.100.241102](https://doi.org/10.1103/PhysRevB.100.241102)$]$ has been picked up and developed elsewhere: Essentially two types of anyons, the first type with a fixed pairwise braiding phase, and then another braiding phase when the first type braids around the second. <a href="https://ncatlab.org/nlab/revision/diff/Laughlin+wavefunction/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/Laughlin+wavefunction/3">v3</a>, <a href="https://ncatlab.org/nlab/show/Laughlin+wavefunction">current</a>

   What I am really after, for the moment, is whether the idea that is visible in equation (3) of

   • Tian Lan, Matrix formulation for non-Abelian families, Phys. Rev. B 100 241102 (2019) $[$arXiv:1908.02599, doi:10.1103/PhysRevB.100.241102$]$

   has been picked up and developed elsewhere: Essentially two types of anyons, the first type with a fixed pairwise braiding phase, and then another braiding phase when the first type braids around the second.

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Janusz E. Jacak]], *Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE*, Sci Rep **12** 616 (2022) &lbrack;[doi:10.1038/s41598-021-04672-z](https://doi.org/10.1038/s41598-021-04672-z)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Laughlin+wavefunction/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/Laughlin+wavefunction/9">v9</a>, <a href="https://ncatlab.org/nlab/show/Laughlin+wavefunction">current</a>

   added pointer to:

   • Janusz E. Jacak, Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE, Sci Rep 12 616 (2022) [doi:10.1038/s41598-021-04672-z]

   diff, v9, current