Dynamics of the DBI Spike Soliton

Details Dynamics of the DBI Spike Soliton Dynamics of the DBI Spike Soliton

1999-06-29

arxiv.org/abs/hep-th/9906237v1

Phys.Rev. D61 (2000) 024034

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 1 figure

Scientific paper

10.1103/PhysRevD.61.024034

We compare oscillations of a fundamental string ending on a D3-brane in two different settings: (1) a test-string radially threading the horizon of an extremal black D3-brane and (2) the spike soliton of the DBI effective action for a D3-brane. Previous work has shown that overall transverse modes of the test-string appear as l=0 modes of the transverse scalar fields of the DBI system. We identify DBI world-volume degrees of freedom that have dynamics matching those of the test-string relative transverse modes. We show that there is a map, resembling T-duality, between relative and overall transverse modes for the test-string that interchanges Neumann and Dirichlet boundary conditions and implies equality of the absorption coefficients for both modes. We give general solutions to the overall and relative transverse parts of the DBI coupled gauge and scalar system and calculate absorption coefficients for the higher angular momentum modes in the low frequency limit. We find that there is a nonzero amplitude for l>0 modes to travel out to infinity along the spike, demonstrating that the spike remains effectively 3+1-dimensional.

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