Non-Linear realization of supersymmetry algebra from supersymmetric constraint

Casalbuoni, R.; Curtis, S. De; Dominici, D.; Feruglio, Ferruccio; Gatto, R.

doi:10.1016/0370-2693(89)90788-0

Cited by 175 publications

(297 citation statements)

References 10 publications

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“…Its worldvolume theory includes a Volkov-Akulov fermion goldstino [3,4], which can be equivalently described in terms of a nilpotent scalar superfield S with S 2 (x, θ) = 0 [5][6][7][8][9][10][11][12][13][14][15]. This nilpotent superfield allows for a manifestly supersymmetric description of the uplift to a de Sitter minimum [16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

D 3 ¯ $$ \overline{D3} $$ induced geometric inflation

Каллош

Linde

Roest

et al. 2017

J. High Energ. Phys.

126

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Effective supergravity inflationary models induced by anti-D3 brane interaction with the moduli fields in the bulk geometry have a geometric description. The Kähler function carries the complete geometric information on the theory. The non-vanishing bisectional curvature plays an important role in the construction. The new geometric formalism, with the nilpotent superfield representing the anti-D3 brane, allows a powerful generalization of the existing inflationary models based on supergravity. They can easily incorporate arbitrary values of the Hubble parameter, cosmological constant and gravitino mass. We illustrate it by providing generalized versions of polynomial chaotic inflation, Tand E-models of α-attractor type, disk merger. We also describe a multi-stage cosmological attractor regime, which we call cascade inflation.

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Section: Introductionmentioning

confidence: 99%

D 3 ¯ $$ \overline{D3} $$ induced geometric inflation

Каллош

Linde

Roest

et al. 2017

J. High Energ. Phys.

126

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“…as well as the nonlinear relation 12) which is similar to Roček's constraint (1.1b). It follows from the definition of Φ, eq.…”

Section: Chiral Scalar Goldstino Superfieldmentioning

confidence: 64%

“…As was shown by Roček [6] (see also [11] for a recent review), the Goldstino, which may be identified with D α φ| θ=0 , is the only independent component field contained in φ. In the case of N = 1 supersymmetry, there is an alternative superfield approach to describe the Goldstino dynamics, which was advocated in [12,13]. It consists of getting rid of the nonlinear constraint (1.1b) and working with a chiral scalar X ,DαX = 0, which is only constrained to be nilpotent,…”

Section: Jhep05(2017)061mentioning

confidence: 99%

“…Instead of working with the Goldstino superfield Φ, which contains only two independent component fields -the Goldstini -one can follow a different path, in the spirit of the N = 1 constructions advocated in [12,13]. Specifically, one can consider a chiral scalar X, Dα i X = 0, which is only required to obey the nilpotency constraints…”

Section: Reducible Chiral Scalar Goldstino Superfieldmentioning

confidence: 99%

“…It is assumed that V is super-Weyl inert, while S 0 transforms as δ σ S 0 = σS 0 . It is possible to follow a different path than the one just discussed, in the spirit of the nilpotent N = 1 chiral construction of [12,13]. Specifically, we consider a Goldstino superfield V which only obeys the nilpotency constraints (5.7), in conjunction with the requirement that D α W α is nowhere vanishing.…”

Section: Jhep05(2017)061mentioning

confidence: 99%

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Goldstino superfields in N = 2 $$ \mathcal{N}=2 $$ supergravity

Kuzenko

McArthur

Tartaglino‐Mazzucchelli

2017

J. High Energ. Phys.

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We present off-shell N = 2 supergravity actions, which exhibit spontaneously broken local supersymmetry and allow for de Sitter vacua for certain values of the parameters. They are obtained by coupling the standard N = 2 supergravity-matter systems to the Goldstino superfields introduced in arXiv:1105.3001 and arXiv:1607.01277 in the rigid supersymmetric case. These N = 2 Goldstino superfields include nilpotent chiral and linear supermultiplets. We also describe a new reducible N = 1 Goldstino supermultiplet.

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On supermembrane supercurrent and special minimal supergravity

Bandos

Meliveo

2012

Fortschritte der Physik

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In this contribution we review recent progress in studying the superfield Lagrangian description of the interacting system of D = 4 𝒩 = 1 supergravity (SUGRA) and supermembrane in the frame of Wess–Zumino superfield approach. The off‐shell formulation of simple SUGRA by Ovrut and Waldram, which we prefer to call `special minimal supergravity', is appropriate for this purpose. We discuss the superfield form of this formulation, showing how the basic variations of minimal SUGRA are restricted by the conditions of the existence of a three‐form potential C3 in its superspace. We also describe the effect of dynamical generation of cosmological constant, known to be characteristic for this formulation of SUGRA, in its superfield form, and notice that the same effect had been found by Ogievetsky and Sokatchev in their formulation of SUGRA as a theory of axial vector superfield. We vary the supermembrane action with respect to the special minimal SUGRA superfields (basic variations) and obtain the supercurrent superfields as well as the supergravity superfield equations with the supermembrane contributions.

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Non-Linear realization of supersymmetry algebra from supersymmetric constraint

Cited by 175 publications

References 10 publications

D 3 ¯ $$ \overline{D3} $$ induced geometric inflation

D 3 ¯ $$ \overline{D3} $$ induced geometric inflation

Goldstino superfields in N = 2 $$ \mathcal{N}=2 $$ supergravity

On supermembrane supercurrent and special minimal supergravity

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