In string theory a permutation D-brane (Recknagel 02) is a D-brane inhabiting the diagonal of a Cartesian product space such that as boundary states for open strings these enforce that left/right worldsheet-fields are glued along some permutation of these factors.
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
Andreas Recknagel, Permutation Branes, JHEP 0304 (2003) 041 (arXiv:hep-th/0208119)
Andreas Recknagel, On permutation branes, Fortsch. Phys. 51 (2003) 824
A brief textbook account is in
Further developments include
Ilka Brunner, Matthias Gaberdiel, Matrix factorisations and permutation branes, JHEP 0507:012, 2005 (arXiv:hep-th/0503207)
Håkon Enger, Andreas Recknagel, Daniel Roggenkamp, Permutation branes and linear matrix factorisations, JHEP0601:087, 2006 (arXiv:hep-th/0508053)
Gor Sarkissian, Generalised Permutation Branes on a product of cosets , Nucl.Phys.B747:423-435, 2006 (arXiv:hep-th/0601061)
Stefan Fredenhagen, Matthias Gaberdiel, Generalised permutation branes, JHEP0611:041, 2006 (arXiv:hep-th/0607095)
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:
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.