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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeSep 28th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexam starting some minimum <a href="https://ncatlab.org/nlab/revision/permutation+brane/1">v1</a>, <a href="https://ncatlab.org/nlab/show/permutation+brane">current</a>

   am starting some minimum

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 28th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexrenamed from "permutation brane" to "permutation D-brane", for definiteness <a href="https://ncatlab.org/nlab/revision/permutation+D-brane/1">v1</a>, <a href="https://ncatlab.org/nlab/show/permutation+D-brane">current</a>

   renamed from “permutation brane” to “permutation D-brane”, for definiteness

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 29th 2018
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexDid the physicists involved arrive at such a notion independently of the mathematicians' interest in relating the Burnside ring to the representation ring?

   Did the physicists involved arrive at such a notion independently of the mathematicians’ interest in relating the Burnside ring to the representation ring?

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 29th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexAbsolutely.

   Absolutely.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 29th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexAnd actually, I was wrong in suggesting that the "permutation branes" per se are fractional branes corresponding to permutation representations. That's at least not how they are actually introduced. But there may still be a connection. From [arXiv:hep-th/0504164](https://arxiv.org/abs/hep-th/0504164): > We study fractional 2p-branes and their intersection numbers in non-compact orbifolds [...] we also provide evidence that the boundary states associated to these branes in a conformal field theory description corresponds to a sub-class of the boundary states associated to the permutation branes in the Gepner model

   And actually, I was wrong in suggesting that the “permutation branes” per se are fractional branes corresponding to permutation representations. That’s at least not how they are actually introduced.

   But there may still be a connection. From arXiv:hep-th/0504164:

   We study fractional 2p-branes and their intersection numbers in non-compact orbifolds […] we also provide evidence that the boundary states associated to these branes in a conformal field theory description corresponds to a sub-class of the boundary states associated to the permutation branes in the Gepner model