Non Abelian Geometrical Tachyon
arXiv:1003.6063 · doi:10.1007/JHEP11(2010)063
Abstract
We investigate the dynamics of a pair of coincident D5 branes in the background of NS5 branes. It has been proposed by Kutasov that the system with a single probing D-brane moving radially in this background is dual to the tachyonic DBI action for a non-BPS Dp brane. We extend this proposal to the non-abelian case and find that the duality still holds provided one promotes the radial direction to a matrix valued field associated with a non-abelian geometric tachyon and a particular parametrization for the transverse scalar fields is chosen. The equations of motion of a pair of coincident D5 branes moving in the NS5 background are determined. Analytic and numerical solutions for the pair are found in certain simplified cases in which the U(2) symmetry is broken to corresponding to a small transverse separation of the pair. For certain range of parameters these solutions describe periodic motion of the centre of mass of the pair 'bouncing off' a finite sized throat whose minimum size is limited by the D5 branes separation.
18 pages, 2 figures, PdfLatex: references added.accepted for publication in JHEP
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Cited by in corpus (5)
- On D-brane-Anti D-brane Effective actions and their all order Bulk Singularity Structures
- Highly Symmetric D-brane-Anti-D-brane Effective Actions
- All Order Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
- All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
- On Special Limit of Non-Supersymmetric Effective Actions of type II String theory