On Action Functionals for Interacting Brane Systems

Bandos, Igor A.; Kummer, Wolfgang

doi:10.1142/9789812793263_0009

Cited by 4 publications

(13 citation statements)

References 4 publications

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“…Below we will treat the 9-brane as auxiliary and drop the Lagrangian L 10 altogether. The study of the interaction of the fundamental string with this super-D9-brane in the framework of the present approach is the subject of another paper [20].…”

Section: Space-time Filling Branes and Induced Embeddingsmentioning

confidence: 99%

“…One can actually consider the action (42) with Lagrangian form (43), (44), extending formally the relations (20) to arbitrary forms on the worldsheet and worldvolume respectively. However, a more rigorous procedure (which actually could motivate formal manipulations of this type also in another context) consists in searching for an equivalent representation of the superstring and superbrane actions, whose Lagrangian form can be considered as a pull-back of the 10-dimensional forms.…”

Section: Lagrangian Forms and Action For The Interacting Systemmentioning

confidence: 99%

“…Fortunately such actions do exist. They were proposed in the frame of the Lorentz harmonic approach for superstrings [25] (see also [28,29,31]) and super-Dp-branes [26,31,19] respectively.…”

Section: Lagrangian Forms and Action For The Interacting Systemmentioning

confidence: 99%

“…is implied here by the assumption that it is possibile to lift the complete superbrane actions to the 10-dimensional integral form using the relations (20). The manifestly supersymmetric form of the current densities appears after passing to the supersymmetric basis of the space tangent to…”

Section: Supersymmetric Invariance Of Distribution Formsmentioning

confidence: 99%

“…written in terms of differential forms [28,26,31,19] (we will not need their explicit expressions below), while M 1m denotes the coordinate variation localized at the boundary, which appears due to the integration by part in the 'bulk' superstring action (1). We should stress that in the basis (57) no boundary input with the variation δΘ I appears (see Appendix A, and [20] for details).…”

Section: Properties Of the Equations Of Motion For Coupled Branesmentioning

confidence: 99%

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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: Space-time Filling Branes and Induced Embeddingsmentioning

confidence: 99%

Section: Lagrangian Forms and Action For The Interacting Systemmentioning

confidence: 99%

Section: Lagrangian Forms and Action For The Interacting Systemmentioning

confidence: 99%

Section: Supersymmetric Invariance Of Distribution Formsmentioning

confidence: 99%

Section: Properties Of the Equations Of Motion For Coupled Branesmentioning

confidence: 99%

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Current density distributions and a supersymmetric action for interacting brane systems

Bandos¹,

Kummer²

1999

Physics Letters B

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3D supersymmetric nonlinear multiple D0-brane action and 4D counterpart of multiple M-wave system

Bandos

Sarraga

2022

J. High Energ. Phys.

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Found is the complete nonlinear action of multiple D0-brane system (mD0) in three dimensional type II superspace which is invariant under rigid D = 3 $$ \mathcal{N} $$ N = 2 spacetime supersymmetry and under local worldline supersymmetry generalizing the κ-symmetry of single D0-brane action. We show that a particular representative of this family of actions can be obtained by dimensional reduction of the action of D = 4 non-Abelian multiwaves (nAmW), the D = 4 counterpart of 11D multiple M-wave (mM0) action, that we have also constructed in this paper. This reduction results in an action with is nonlinear due to the presence of a certain function ℳ(ℋ) of the relative motion Hamiltonian ℋ, the counterpart of which enters the 4D nAmW action linearly. Curiously, the action possesses double supersymmetry also for an arbitrary function ℳ(ℋ). In particular for ℳ = const we find a dynamical system describing the sum of single D0 action and the action of 1d dimensional reduction of the D = 3 $$ \mathcal{N} $$ N = 2 SYM coupled to the worldline supergravity induced by the embedding of the center of energy motion into the D = 3 $$ \mathcal{N} $$ N = 2 superspace.

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Superembedding approach and S-duality: a unified description of superstring and super-D1-brane

Bandos

2001

Nuclear Physics B

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It is proved that a basic superembedding equation for the 2-dimensional worldsheet superspace Σ (2|8+8) embedded into D=10 type IIB superspace M (10|16+16) provides a universal, S-duality invariant description of a fundamental superstring and super-D1-brane. We work out generalized action principle, obtain superfield equations of motion for both these objects and find how the S-duality transformations relate the superfield equations of superstring and super-D1-brane.The superembedding of 6-dimensional worldsheet superspace Σ (6|16) into the D=10 type IIB superspace M (10|16+16) will probably provide a similar universal description for the set of type IIB super-NS5-brane, super-D5-brane and a Kaluza-Klein monopole (super-KK5-brane).

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On Action Functionals for Interacting Brane Systems

Cited by 4 publications

References 4 publications

Current density distributions and a supersymmetric action for interacting brane systems

Current density distributions and a supersymmetric action for interacting brane systems

3D supersymmetric nonlinear multiple D0-brane action and 4D counterpart of multiple M-wave system

Superembedding approach and S-duality: a unified description of superstring and super-D1-brane

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