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2015

Space-filling D3-brane within coset approach

Bellucci, S., Kozyrev, N., Krivonos, S. et al.

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We derive the component on-shell action of the space-filling D3-brane, {\it i.e.} $N=1$ supersymmetric Born-Infeld action, within the nonlinear realization approach.

The covariant Bianchi identity defining the $N=1$, $d=4$ vector supermultiplet has been constructed by introducing a new bosonic Goldstone superfield associated with the generator of the $U(1)$ group, which transforms to each other the spinor generators of unbroken and spontaneously broken $N=1$, $d=4$ supersymmetries.
The first component of this Goldstone superfield is the auxiliary field of the vector supermultiplet and, therefore, the Bianchi identity can be properly defined.
The component action of the D3-brane has a very simple form, being written in terms of derivatives covariant with respect to spontaneously broken supersymmetry - it just mimics its bosonic counterpart.

Space-filling D3-brane within coset approach · Around

Built on

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D.V. Volkov, Phenomenological Lagrangians
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S. Cecotti, S. Ferrara, Supersymmetric Born-Infeld Lagrangians
1987
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J. Wess, J. Bagger, Supersymmetry and Supergravity
1992
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J. Bagger, A. Galperin, New Goldstone multiplet for partially broken supersymmetry
1997
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Original

Then

E. Bergshoeff, F. Coomans, R. Kallosh, C.S. Shahbazi, A. Van Proeyen, Dirac-Born-Infeld-Volkov-Akulov and Deformation of Supersymmetry
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2013
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S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin, Partial breaking of global supersymmetry and super particle actions
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S. Bellucci, S. Krivonos, A. Yeranyan, Supermembrane in D=5: component action
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S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin, Component on-shell actions of supersymmetric 3-branes: I. 3-brane in D = 6

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