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 definitions 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-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 nforum 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 9th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexa bare list of references, to be `!include`-ed into the list of References at relevant entries (notably at *[[logarithmic CFT]]* and at *[[WZW model]]*) <a href="https://ncatlab.org/nlab/revision/fractional-level+WZW+model+--+references/1">v1</a>, <a href="https://ncatlab.org/nlab/show/fractional-level+WZW+model+--+references">current</a>

   a bare list of references, to be !include-ed into the list of References at relevant entries (notably at logarithmic CFT and at WZW model)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 22nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * [[Sachin Grover]], *Quasi-Characters in $\widehat{\mathfrak{su}}(2)$ Current Algebra at Fractional Levels* $[$[arXiv:2208.09037](https://arxiv.org/abs/2208.09037)$]$ <a href="https://ncatlab.org/nlab/revision/diff/fractional-level+WZW+model+--+references/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/fractional-level+WZW+model+--+references/8">v8</a>, <a href="https://ncatlab.org/nlab/show/fractional-level+WZW+model+--+references">current</a>

   added pointer to today’s

   • Sachin Grover, Quasi-Characters in Current Algebra at Fractional Levels arXiv:2208.09037

   diff, v8, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 3rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Hidetoshi Awata]], [[Yasuhiko Yamada]], *Fusion rules for the fractional level $\widehat{\mathfrak{sl}(2)}$ algebra*, Mod. Phys. Lett. A **7** (1992) 1185-1196 $[$[spire:332974](https://inspirehep.net/literature/332974), [doi:10.1142/S0217732392003645](https://doi.org/10.1142/S0217732392003645)$]$ <a href="https://ncatlab.org/nlab/revision/diff/fractional-level+WZW+model+--+references/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/fractional-level+WZW+model+--+references/9">v9</a>, <a href="https://ncatlab.org/nlab/show/fractional-level+WZW+model+--+references">current</a>

   added pointer to:

   • Hidetoshi Awata, Yasuhiko Yamada, Fusion rules for the fractional level algebra, Mod. Phys. Lett. A 7 (1992) 1185-1196 spire:332974, doi:10.1142/S0217732392003645

   diff, v9, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeFeb 17th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Sunil Mukhi]], Sudhakar Panda, *Fractional-level current algebras and the classification of characters*, Nuclear Physics B **338** 1 (1990) 263-282 $[$<a href="https://doi.org/10.1016/0550-3213(90)90632-N">doi:10.1016/0550-3213(90)90632-N</a>$]$ <a href="https://ncatlab.org/nlab/revision/diff/fractional-level+WZW+model+--+references/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/fractional-level+WZW+model+--+references/11">v11</a>, <a href="https://ncatlab.org/nlab/show/fractional-level+WZW+model+--+references">current</a>

   added pointer to:

   • Sunil Mukhi, Sudhakar Panda, Fractional-level current algebras and the classification of characters, Nuclear Physics B 338 1 (1990) 263-282 doi:10.1016/0550-3213(90)90632-N

   diff, v11, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave added this item, on [[braided fusion categories]] formed by [[affine Lie algebra]]-[[representations]] at admissible fractional [[level (Chern-Simons theory)|level]]: * [[Thomas Creutzig]], [[Yi-Zhi Huang]], [[Jinwei Yang]], *Braided tensor categories of admissible modules for affine Lie algebras*, Commun. Math. Phys. **362** (2018) 827–854 &lbrack;[arXiv:1709.01865](https://arxiv.org/abs/1709.01865)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/fractional-level+WZW+model+--+references/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/fractional-level+WZW+model+--+references/14">v14</a>, <a href="https://ncatlab.org/nlab/show/fractional-level+WZW+model+--+references">current</a>

   have added this item, on braided fusion categories formed by affine Lie algebra-representations at admissible fractional level:

   • Thomas Creutzig, Yi-Zhi Huang, Jinwei Yang, Braided tensor categories of admissible modules for affine Lie algebras, Commun. Math. Phys. 362 (2018) 827–854 [arXiv:1709.01865]

   diff, v14, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeOct 27th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Gregory Moore]], [[Nicholas Read]], p. 389 of: *Nonabelions in the fractional quantum hall effect*, Nuclear Physics B **360** 2–3 (1991) 362-396 $[$<a href="https://doi.org/10.1016/0550-3213(91)90407-O">doi:10.1016/0550-3213(91)90407-O</a>, [pdf](https://www.physics.rutgers.edu/~gmoore/MooreReadNonabelions.pdf)$]$ <a href="https://ncatlab.org/nlab/revision/diff/fractional-level+WZW+model+--+references/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/fractional-level+WZW+model+--+references/16">v16</a>, <a href="https://ncatlab.org/nlab/show/fractional-level+WZW+model+--+references">current</a>

   added pointer to:

   • Gregory Moore, Nicholas Read, p. 389 of: Nonabelions in the fractional quantum hall effect, Nuclear Physics B 360 2–3 (1991) 362-396 doi:10.1016/0550-3213(91)90407-O, pdf

   diff, v16, current