D=10 super-D9-brane

Abstract

Superfield equations of motion for D=10 type IIB Dirichlet super-9-brane are obtained from the generalized action principle. The geometric equations containing fermionic superembedding equations and constraints on the generalized field strength of Abelian gauge field are separated from the proper dynamical equations and are found to contain these dynamical equations among their consequences. The set of superfield equations thus obtained involves a Spin(1,9) group valued superfield $h_\a^{~\b}$ whose leading component appears in the recently obtained simplified expression for the kappa-symmetry projector of the D9-brane. The Cayley image of this superfield coincides (on the mass shell) with the field strength tensor of the world volume gauge field characteristic for the Dirichlet brane. The superfield description of the super-9-brane obtained in this manner is known to be, on the one hand, the nonlinear (Born-Infeld) generalization of supersymmetric Yang-Mills theory and, on the other hand, the theory of partial spontaneous breaking of D=10, N=IIB supersymmetry down to D=10, N=1.

34 pages, LATEX. Minor corrections. References added

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• The Super D9-Brane and its Truncations
• Kappa-symmetric non-abelian Born-Infeld actions in three dimensions
• Superstrings with boundary fermions
• Codimension zero superembeddings
• Supersymmetric Born-Infeld from the D9-brane
• Aspects of D-brane Dynamics in Supergravity Backgrounds with Fluxes, Kappa-symmetry and Equations of Motion. Part IIB
• On superembedding approach to multiple D-brane system. D0 story
• Kappa-symmetric SL(2,R) covariant D-brane actions
• D-Brane Boundary States in the Pure Spinor Superstring
• Superembedding approach to Dp-branes, M-branes and multiple D(0)-brane systems
• The Space Filling Dirichlet 3-Brane in N=2, D=4 Superspace
• Current Density Distributions and a Supersymmetric Action for Interacting Brane Systems
• Superembedding Approach and S-Duality. A unified description of superstring and super-D1-brane
• Kappa-symmetric Derivative Corrections to D-brane Dynamics
• Non-Linear Realization of ${\aleph }_0$-Extended Supersymmetry
• On superembedding approach to type IIB 7-branes
• Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• D1 and D5-Brane Actions in AdS_m x S^n
• Supersymmetric Non-abelian DBI Equations from Open Pure Spinor Superstring
• Relating Superembeddings and Non-linear Realisations