The Green-Schwarz action functional for super D-branes contains a generalizatin of the Nambu-Goto action in which the volume form is modified by the field strength of the Chan-Paton gauge field on the worldvolume of the D-brane. This modified Nambu-Goto action is referred to as the Dirac-Born-Infeld action or DBI action, for short.
Named after Paul Dirac, Max Born and Leopold Infeld.
Detailed discussion of the relation to the Polyakov action and the Nambu-Goto action is in
In the low energy action functional for single D-branes the DBI action is due to
Efim Fradkin, Arkady Tseytlin, Non-linear electrodynamics from quantized strings, Physics Letters B Volume 163, Issues 1–4, 21 November 1985 (doi:10.1016/0370-2693(85)90205-9)
A.Abouelsaood, C.G.Callan, C.R.Nappi, S.A.Yost, Open strings in background gauge fields, Nuclear Physics B Volume 280, 1987, Pages 599-624 (doi:10.1016/0550-3213(87)90164-7)
and a full $\kappa$-symmetric Green-Schwarz sigma-model for D-branes:
Martin Cederwall, Alexander von Gussich, Bengt Nilsson, Per Sundell, Anders Westerberg, The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity, Nucl.Phys. B490 (1997) 179-201 (arXiv:hep-th/9611159)
Mina Aganagic, Jaemo Park, Costin Popescu, John Schwarz, Dual D-Brane Actions, Nucl. Phys. B496 (1997) 215-230 (arXiv:hep-th/9702133)
Review:
Arkady Tseytlin, Born-Infeld action, supersymmetry and string theory, in: Mikhail Shifman (ed.) The many faces of the superworld, pp. 417-452, World Scientific (2000) (arXiv:hep-th/9908105, doi:10.1142/9789812793850_0025)
John Schwarz, section 2 of Comments on Born-Infeld Theory, talk presented at Strings 2001 (arXiv:hep-th/0103165)
Discussion in terms of D-branes as leaves of Dirac structures on Courant Lie 2-algebroids of type II geometry is in
See also
Martin Cederwall, Alexander von Gussich, Aleksandar Mikovic, Bengt Nilsson, Anders Westerberg, On the Dirac-Born-Infeld Action for D-branes, Phys.Lett.B390:148-152, 1997 (arXiv:hep-th/9606173)
Ian I. Kogan, Dimitri Polyakov, DBI Action from Closed Strings and D-brane second Quantization, Int. J. Mod. Phys. A18 (2003) 1827 (arXiv:hep-th/0208036)
Discussion of the generalization of the DBI action to non-abelian Chan-Paton gauge fields (hence: for coincident D-branes) includes the following:
A proposal for the formulation appears in
A critical discussion is in Schwarz 01, Section 2
For actual derivation of gauge enhancement on coincident D-branes see the references there.
Last revised on July 30, 2019 at 09:38:26. See the history of this page for a list of all contributions to it.