nLab permutation D-brane




In string theory a permutation D-brane (Recknagel 02) is a D-brane inhabiting the diagonal of a Cartesian product space XX such that as boundary states for open strings these enforce that left/right worldsheet-fields are glued along some permutation of these factors.


For the Gepner model

All the known rational boundary states for Gepner models can be regarded as permutation branes.

(Enger-Recknagel-Roggenkamp 05)



The concept was introduced and studied in boundary conformal field theory in

A brief textbook account is in

Further developments include

The case for orientifolds is discussed in

  • Ilka Brunner, Vladimir Mitev, Permutation Orientifolds, JHEP 0705:078, 2007 (arXiv:hep-th/0612108)

  • Kazuo Hosomichi, Permutation Orientifolds of Gepner Models, JHEP 0701:081, 2007 (arXiv:hep-th/0612109)

Relation to fractional branes

Relation to fractional branes:

  • Bobby Ezhuthachan, Suresh Govindarajan, T. Jayaraman, A quantum McKay correspondence for fractional 2p-branes on LG orbifolds, JHEP 0508 (2005) 050 (arXiv:hep-th/0504164)

Generalised permutation branes

  • Stefan Fredenhagen, Thomas Quella, Generalised permutation branes, JHEP0511:004, 2005 (arXiv:hep-th/0509153)

    It might surprise that despite all the progress that has been made in understanding branes on group manifolds, there are usually not enough D-branes known to explain the whole charge group predicted by (twisted) K-theory.

  • Stefan Fredenhagen, Cosimo Restuccia, DBI analysis of generalised permutation branes, JHEP 1001:065, 2010 (arXiv:0908.1049)

Last revised on July 3, 2019 at 15:51:10. See the history of this page for a list of all contributions to it.