Supergravity Before and After 1976

Duplij, Steven; Schlichenmaier, Martin

doi:10.1007/1-4020-4522-0_2

Cited by 3 publications

(8 citation statements)

References 10 publications

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“…As pointed out by Volkov [3], the transformation laws in (2.21) coincide with those used by Deser and Zumino in their construction of N = 1 supergravity [2]. We should remark that the supersymmetry transformations of the Goldstone fields X a and Θ i β are given by the relations (2.8).…”

Section: A Review Of the Volkov-soroka Constructionsupporting

confidence: 58%

“…and similarly for the dotted spinors. Let P(4) be the universal covering group of the restricted Poincaré group ISO 0 (3,1). It is usually realized as the group of linear inhomogeneous transformations (M, b) acting on the space of 2 × 2 Hermitian matrices x = x a σ a = x † as follows: 4) is equivalently realized as the group of linear inhomogeneous transformations acting on the space of 2 × 2 Hermitian matrices x := x a σa = x † as follows:…”

Section: Appendix a Two-component Spinor Formalismmentioning

confidence: 99%

“…The terminology '1.5 formalism' originated from[11] 3. The N = 1 super-Poincaré algebra was discovered in 1971 by Golfand and Likhtman[17] 4.…”

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confidence: 99%

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Local supersymmetry: variations on a theme by Volkov and Soroka

Kuzenko

2023

Proc. R. Soc. A.

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We revisit the work by Volkov and Soroka on spontaneously broken local supersymmetry. It is demonstrated for the first time that, for specially chosen parameters of the theory, the Volkov–Soroka action is invariant under two different local supersymmetries. One of them is present for arbitrary values of the parameters and acts on the Goldstino, while the other supersymmetry emerges only in a special case and leaves the Goldstino invariant. The former can be used to gauge away the Goldstino, and then the resulting action coincides with that proposed by Deser and Zumino for consistent supergravity in the first-order formalism. In this sense, pure N = 1 supergravity is a special case of the Volkov–Soroka theory, although it was not discovered by these authors. We also explain how the Volkov–Soroka approach allows one to naturally arrive at the 1.5 formalism. Our analysis provides a nonlinear realization approach to construct unbroken N = 1 Poincaré supergravity.

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Section: A Review Of the Volkov-soroka Constructionsupporting

confidence: 58%

Section: Appendix a Two-component Spinor Formalismmentioning

confidence: 99%

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Local supersymmetry: variations on a theme by Volkov and Soroka

Kuzenko

2023

Proc. R. Soc. A.

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“…The supersymmetric coupling of the gravitino and Goldstino in D ¼ 10 at the quadratic level in fermions was studied in [8,9]. The curved superspace formulation of the VA Goldstino theory was studied soon after the discovery of this theory; see for example a review paper [10] or an application of the constrained superfield formalism in superspace in [11]. The relation between the superspace approach and nonlinearly realized supersymmetries was investigated in [12].…”

Section: Introductionmentioning

confidence: 99%

Pure de Sitter supergravity

et al. 2015

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Using superconformal methods we derive an explicit de Sitter supergravity action invariant under spontaneously broken local N ¼ 1 supersymmetry. The supergravity multiplet interacts with a nilpotent Goldstino multiplet. We present a complete locally supersymmetric action including the graviton and the fermionic fields, gravitino and Goldstino, no scalars. In the global limit when the supergravity multiplet decouples, our action reproduces the Volkov-Akulov theory. In the unitary gauge where the Goldstino vanishes we recover pure supergravity with the positive cosmological constant. The classical equations of motion, with all fermions vanishing, have a maximally symmetric solution: de Sitter space.

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“…In fact, such a complete supergravity model action with explicit spontaneously broken local supersymmetry was not even presented in the literature. Some partial work in this direction includes [98] where a proposal was made how to generalize the global Volkov-Akulov model to a locally supersymmetric one and [99,100], where the curved superspace formulation…”

Section: Discussionmentioning

confidence: 99%

String theory realizations of the nilpotent goldstino

Каллош

Quevedo

Uranga

2015

J. High Energ. Phys.

102

185

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We describe in detail how the spectrum of a single anti-D3-brane in fourdimensional orientifolded IIB string models reproduces precisely the field content of a nilpotent chiral superfield with the only physical component corresponding to the fermionic goldstino. In particular we explicitly consider a single anti-D3-brane on top of an O3-plane in warped throats, induced by (2, 1) fluxes. More general systems including several antibranes and other orientifold planes are also discussed. This provides further evidence to the claim that non-linearly realized supersymmetry due to the presence of antibranes in string theory can be described by supersymmetric theories including nilpotent superfields. Implications to the KKLT and related scenarios of de Sitter moduli stabilization, to cosmology and to the structure of soft SUSY-breaking terms are briefly discussed.

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Supergravity Before and After 1976

Cited by 3 publications

References 10 publications

Local supersymmetry: variations on a theme by Volkov and Soroka

Local supersymmetry: variations on a theme by Volkov and Soroka

Pure de Sitter supergravity

String theory realizations of the nilpotent goldstino

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