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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 12th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting something. Not done yet, but need to save <a href="https://ncatlab.org/nlab/revision/defect+brane/1">v1</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   starting something. Not done yet, but need to save

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 24th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI was looking for texts that would talk about the evident (!?) idea that codim=2 defect branes are candidate models for anyon statistics. After a fair bit of searching, I have now found a single reference: In * [[Jan de Boer]], [[Masaki Shigemori]], _Exotic Branes in String Theory_, Physics Reports **532** (2013) 65-118 ([arXiv:1209.6056](https://arxiv.org/abs/1209.6056), [doi:j.physrep.2013.07.003](https://doi.org/10.1016/j.physrep.2013.07.003)) the idea is mentioned, very briefly and explicitly tentatively, on p. 65. If anyone knows of further discussion in this direction, please let me know. <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/4">v4</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   I was looking for texts that would talk about the evident (!?) idea that codim=2 defect branes are candidate models for anyon statistics. After a fair bit of searching, I have now found a single reference:

   In

   • Jan de Boer, Masaki Shigemori, Exotic Branes in String Theory, Physics Reports 532 (2013) 65-118 (arXiv:1209.6056, doi:j.physrep.2013.07.003)

   the idea is mentioned, very briefly and explicitly tentatively, on p. 65.

   If anyone knows of further discussion in this direction, please let me know.

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 24th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexah, here is a concrete implementation of anyonic defect strings in 4d TQFT: * [[Liang Kong]], Yin Tian, Zhi-Hao Zhang, Section 2.2 of: *Defects in the 3-dimensional toric code model form a braided fusion 2-category*, J. High Energ. Phys. 2020, 78 (2020) ([arXiv:2009.06564](https://arxiv.org/abs/2009.06564), <a href="https://doi.org/10.1007/JHEP12(2020)078">doi:10.1007/JHEP12(2020)078</a>) Now I remember that I used to have more references on anyonic strings in 3d toic code models. Will dig them out. But holiday duties first now :-) <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/5">v5</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   ah, here is a concrete implementation of anyonic defect strings in 4d TQFT:

   • Liang Kong, Yin Tian, Zhi-Hao Zhang, Section 2.2 of: Defects in the 3-dimensional toric code model form a braided fusion 2-category, J. High Energ. Phys. 2020, 78 (2020) (arXiv:2009.06564, doi:10.1007/JHEP12(2020)078)

   Now I remember that I used to have more references on anyonic strings in 3d toic code models. Will dig them out. But holiday duties first now :-)

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 24th 2021
   • (edited Dec 24th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexRight, now I remember that a while back I had started to collect references on anyonic defect strings at *[[loop braid group]]*. Have cross-linked now and copied references over. <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/6">v6</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   Right, now I remember that a while back I had started to collect references on anyonic defect strings at loop braid group. Have cross-linked now and copied references over.

   diff, v6, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJul 1st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Claudia de Rham]], *The Effective Field Theory of Codimension-two Branes*, JHEP 0801:060 (2008) &lbrack;[arXiv:0707.0884](https://arxiv.org/abs/0707.0884), [doi:10.1088/1126-6708/2008/01/060](https://doi.org/10.1088/1126-6708/2008/01/060)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/10">v10</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   added pointer to:

   • Claudia de Rham, The Effective Field Theory of Codimension-two Branes, JHEP 0801:060 (2008) [arXiv:0707.0884, doi:10.1088/1126-6708/2008/01/060]

   diff, v10, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeDec 7th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * [[Tetsuji Kimura]], Shin Sasaki, Kenta Shiozawa, *On Geometries and Monodromies for Branes of Codimension Two* &lbrack;[arXiv:2312.03358](https://arxiv.org/abs/2312.03358)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/12">v12</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   added pointer to today’s

   • Tetsuji Kimura, Shin Sasaki, Kenta Shiozawa, On Geometries and Monodromies for Branes of Codimension Two [arXiv:2312.03358]

   diff, v12, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeDec 8th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to the recent * Pietro Capuozzo, John Estes, Brandon Robinson, Benjamin Suzzoni, *Holographic Weyl Anomalies for 4d Defects in 6d SCFTs* &lbrack;[arXiv:2310.17447](https://arxiv.org/abs/2310.17447)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/13">v13</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   added pointer to the recent

   • Pietro Capuozzo, John Estes, Brandon Robinson, Benjamin Suzzoni, Holographic Weyl Anomalies for 4d Defects in 6d SCFTs [arXiv:2310.17447]

   diff, v13, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeFeb 13th 2024
   • (edited Feb 13th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Hongliang Jiang, [[Arkady A. Tseytlin]], *On co-dimension 2 defect anomalies in $\mathcal{N}=4$ SYM and $(2,0)$ theory via brane probes in AdS/CFT* &lbrack;[arXiv:2402.07881](https://arxiv.org/abs/2402.07881)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/defect+brane/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/defect+brane/16">v16</a>, <a href="https://ncatlab.org/nlab/show/defect+brane">current</a>

   added pointer to today’s

   • Hongliang Jiang, Arkady A. Tseytlin, On co-dimension 2 defect anomalies in $\mathcal{N}=4$ SYM and $(2,0)$ theory via brane probes in AdS/CFT [arXiv:2402.07881]

   diff, v16, current