Partial breaking of global supersymmetry and super particle actions

et al. 2015

J. High Energ. Phys.

Self Cite

Abstract:We derive the component on-shell action of the space-filling D3-brane, 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.

Section: Jhep08(2015)094mentioning

confidence: 99%

Space-filling D3-brane within coset approach

Bellucci

Kozyrev²,

et al. 2015

J. High Energ. Phys.

Self Cite

“…The most technically complicated part of our approach is to maintain the unbroken supersymmetry, despite the fact that all we need is to fix one parameter in the action (3.27). In a case which we have now in hands, the situation is even worse than that was in the cases which we considered before [14,12,13,21,22], because until now we did not present the exact expressions for the quantities (J A ) ia , (J A ) ia (2.11) in terms of ∇ A q ia . The corresponding equations, which can be obtained by the action of the anticommutators ∇ iα , ∇ jα (A.12) on the superfield q mb , have the form…”

Section: Unbroken Supersymmetrymentioning

confidence: 84%

Component on-shell actions of supersymmetric 3-branes: II. 3-brane in D = 8

Bellucci¹,

Kozyrev²,

et al. 2015

Class. Quantum Grav.

In the present paper we explicitly construct the on-shell supersymmetric component action for a 3-brane moving in D = 8 within the nonlinear realizations framework. Similarly to the previously considered case of the super 3-brane in D = 6, all ingredients entering the component action follow from the nonlinear realizations approach. The component action of the 3-brane possesses N = 4, d = 4 supersymmetry partially broken to N = 2, d = 4 one. The basic Goldstone superfield is the generalized version of N = 2, d = 4 hypermultiplet. The action has a structure, such that all terms of higher orders in the fermions are hidden inside the covariant derivatives and vielbeins. The main part of the component action mimics its bosonic cousin in which the ordinary spacetime derivatives and the bosonic worldvolume are replaced by their covariant (with respect to broken supersymmetry) supersymmetric analogs. The spontaneously broken supersymmetry fixes the Ansatz for the component action, up to two constant parameters. The role of the unbroken supersymmetry is just to fix these parameters.1 See also [9] and references therein.

“…The corresponding reduced Cartan forms will be the building blocks for the component actions. In the papers [18,17,19,20] we explicitly demonstrated that this is indeed the case and the component on-shell actions for low dimensional branes (D < 4 ) can be written through proper covariant derivatives of the bosonic fields and the fermionic vielbeins. In the present paper we analyze the more interesting cases with the 3 brane moving in D = 6 and D = 8.…”

Section: Introductionmentioning

confidence: 86%

Component on-shell actions of supersymmetric 3-branes: I. 3-brane in D = 6

Bellucci¹,

Kozyrev²,

et al. 2015

Class. Quantum Grav.

In the present and accompanying papers we explicitly construct the on-shell supersymmetric component actions for 3-branes moving in D=6 and in D=8 within the nonlinear realizations framework.In the first paper we apply our schema to construct the action of supersymmetric 3-brane in D=6. It turns out that all ingredients entering the component action can be obtained almost algorithmically by using the nonlinear realizations approach. Within this approach, properly adapted to the construction of on-shell component actions, we pay much attention to broken supersymmetry. Doing so, we were able to write the action in terms of purely geometric objects (vielbeins and covariant derivatives of the physical bosonic components), covariant with respect to broken supersymmetry. It turns out that all terms of the higher orders in the fermions, are hidden inside these covariant derivatives and vielbeins. Moreover, the main part of the component action just mimics its bosonic cousin in which the ordinary space-time derivatives and the bosonic world volume are replaced by their covariant supersymmetric analogs. The Wess-Zumino term in the action, which does not exist in the bosonic case, can be also easily constructed in terms of reduced Cartan forms. Keeping the broken supersymmetry almost explicit, one may write the Ansatz for the component action, fully defined up to two constant parameters. The role of the unbroken supersymmetry is just to fix these parameters.