On the Dirac-Born-Infeld action for D-branes

Cederwall, Martin; Gussich, Alexander von; Mikovic, Aleksandar; Nilsson, Bengt E. W.; Westerberg, Anders

doi:10.1016/s0370-2693(96)01367-6

Cited by 40 publications

(66 citation statements)

References 18 publications

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“…where the last term [2,5] describes the interaction of the string endpoints with the gauge field A = dx m A m (x) of the super-D3-brane [17]. However, the action (5) immediately poses a problem.…”

Section: An Action With Lagrange Multipliersmentioning

confidence: 99%

“…The above requirement is not satisfied by the leading (kinetic) terms of the standard actions [11,17] …”

Section: Lagrangian Forms and Action For The Interacting Systemmentioning

confidence: 99%

“…, which corresponds, in particular to the supersymmetry transformations of the gauge field A (see [17]) which is chosen to make the super-D3-brane action supersymmetric. As mentioned in Section 5, no boundary input with the variation δΘ I appears.…”

Section: Appendix A: On Boundaries and Supersymmetrymentioning

confidence: 99%

See 2 more Smart Citations

Current density distributions and a supersymmetric action for interacting brane systems

Bandos¹,

Kummer²

1999

Physics Letters B

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We propose a method to obtain a manifestly supersymmetric action functional for interacting brane systems. It is based on the induced map of the worldvolume of low-dimensional branes into the worldvolume of the space-time filling brane ((D-1)-brane), which may be either dynamical or auxiliary, and implies an identification of Grassmann coordinate fields of lower dimensional branes with an image of the Grassmann coordinate fields of that (D-1)-brane. With this identification the covariant current distribution forms with support on the superbrane worldvolumes become invariant under the target space supersymmetry and can be used to write the coupled superbrane action as an integral over the D-dimensional manifolds ((D-1)-brane worldvolume). We compare the equations derived from this new ('Goldstone fermion embedded') action with the ones produced by a more straightforward generalization of the free brane actions based on the incorporation of the boundary terms with Lagrange multipliers ('superspace embedded' action). We find that both procedures produce the same equations of motion and thus justify each other. Both actions are presented explicitly for the coupled system of a D = 10 super-D3-brane and a fundamental superstring which ends on the super-D3-brane.

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Section: An Action With Lagrange Multipliersmentioning

confidence: 99%

“…The above requirement is not satisfied by the leading (kinetic) terms of the standard actions [11,17] …”

Section: Lagrangian Forms and Action For The Interacting Systemmentioning

confidence: 99%

See 1 more Smart Citation

Current density distributions and a supersymmetric action for interacting brane systems

Bandos¹,

Kummer²

1999

Physics Letters B

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“…Although, so far, we have not been able to derive our algebra from any particular p-brane action, recent developments in the subject of Dirichlet pbranes (D-branes) gives reason for some optimism in this respect. For instance, similar geometrical constructions involving sums of differential forms of various degrees have been found very useful in the construction of effective world-volume actions for D-branes [8][9][10][11][12].…”

Section: Loop Algebras In General Dimensionsmentioning

confidence: 99%

On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations

Westerberg¹

1997

Nuclear Physics B - Proceedings Supplements

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We discuss a previously discovered [1] extension of the infinite-dimensional Lie algebras Map(M, g) which generalizes the Kac-Moody algebras in 1+1 dimensions and the Mickelsson-Faddeev algebras in 3+1 dimensions to manifolds M of general dimensions. Furthermore, we review the method of regularizing current algebras in higher dimensions using pseudodifferential operator (PSDO) symbol calculus. In particular, we discuss the issue of Lie algebra cohomology of PSDOs and its relation to the Schwinger terms arising in the quantization process. Finally, we apply this regularization method to the algebra of ref.[1] with partial success, and discuss the remaining obstacles to the construction of a Fock space representation.

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“…We work with actions of a Nambu-Goto (or Dirac-Born-Infeld) type that do not involve auxiliary fields of intrinsic worldvolume geometry as in the Brink-Di Vecchia-Howe-Tucker form [22] of brane actions (see [23,24] for the BDHT approach to D-branes).…”

mentioning

confidence: 99%

Superbrane actions and geometrical approach

Bandos

Pasti

Sorokin

et al.

Supersymmetry and Quantum Field Theory

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We review a generic structure of conventional (Nambu-Goto and Dirac-Born-Infeld-like) worldvolume actions for the superbranes and show how it is connected through a generalized action construction with a doubly supersymmetric geometrical approach to the description of superp-brane dynamics as embedding world supersurfaces into target superspaces.During last years Dmitrij Vasilievich Volkov actively studied geometrical and symmetry grounds underlying the theory of supersymmetric extended objects and we are happy to have been his collaborators in this work. One of the incentives for this research was to understand the nature of an important fermionic κ-symmetry of the target-superspace (or Green-Schwarz) formulation of the superparticles and superstrings with the aim to resolve the problem of its infinite reducibility, to relate the Green-Schwarz and Ramond-Neveu-Schwarz formulation of superstrings already at the classical level and to attack the problem of covariant quantization of superstrings. The κ-symmetry was conjectured to be a manifestation of local extended supersymmetry (irreducible by definition) on the world supersurface swept by a super-p-brane in a target superspace. This was firstly proved for N = 1 superparticles in three and four dimensions

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On the Dirac-Born-Infeld action for D-branes

Cited by 40 publications

References 18 publications

Current density distributions and a supersymmetric action for interacting brane systems

Current density distributions and a supersymmetric action for interacting brane systems

On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations

Superbrane actions and geometrical approach

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