Gauge fields, nonlinear realizations, supersymmetry

Ivanov, E. A.

doi:10.1134/s1063779616040080

Cited by 20 publications

(16 citation statements)

References 174 publications

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“…The non-linear transformation of the goldstino is obtained by solving the superfield constraints. This construction is based on the general relation between linear and non-linear realizations of supersymmetry put forward in [22,23,73] (see [74] for a recent review).…”

Section: Description Of the Goldstino In Terms Of Constrained Superfimentioning

confidence: 99%

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The goldstino brane, the constrained superfields and matter in N = 1 $$ \mathcal{N}=1 $$ supergravity

Bandos

Heller

Kuzenko

et al. 2016

J. High Energ. Phys.

107

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Abstract:We show that different (brane and constrained superfield) descriptions for the Volkov-Akulov goldstino coupled to N = 1, D = 4 supergravity with matter produce similar wide classes of models with spontaneously broken local supersymmetry and discuss the relation between the different formulations. As with the formulations with irreducible constrained superfields, the geometric goldstino brane approach has the advantage of being manifestly off-shell supersymmetric without the need to introduce auxiliary fields. It provides an explicit solution of the nilpotent superfield constraints and avoids issues with non-Gaussian integration of auxiliary fields. We describe general couplings of the supersymmetry breaking sector, including the goldstino and other non-supersymmetric matter, to supergravity and matter supermultiplets. Among various examples, we discuss a goldstino brane contribution to the gravitino mass term and the supersymmetrization of the anti-D3-brane contribution to the effective theory of type IIB warped flux compactifications.

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Section: Description Of the Goldstino In Terms Of Constrained Superfimentioning

confidence: 99%

“…It was further elaborated by Samuel and Wess [26], including its coupling to supergravity. Alternatively, one can construct a spinor superfield directly from the original Volkov-Akulov goldstino [23] (see [66,74] for reviews)…”

Section: Spinor Goldstino Superfieldsmentioning

confidence: 99%

The goldstino brane, the constrained superfields and matter in N = 1 $$ \mathcal{N}=1 $$ supergravity

Bandos

Heller

Kuzenko

et al. 2016

J. High Energ. Phys.

107

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“…The technique used to describe gravity with a nonlinear representation of SL(4, R) and C(1, 3) was proposed in the paper [39]. A more detailed review can be found in [50]. In accordance with Section 3, one should use variables subject to a linear Lorentz transformation to construct nonlinear representations of SL(4, R) and C (1,3).…”

Section: Nonlinear Representation Of Sl(4 R) and C(1 3) On The Viermentioning

confidence: 99%

Conformally Coupled General Relativity

Arbuzov

Latosh

2018

Universe

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Abstract:The gravity model developed in the series of papers (Arbuzov et al. 2009;, (Pervushin et al. 2012) is revisited. The model is based on the Ogievetsky theorem, which specifies the structure of the general coordinate transformation group. The theorem is implemented in the context of the Noether theorem with the use of the nonlinear representation technique. The canonical quantization is performed with the use of reparametrization-invariant time and Arnowitt-Deser-Misner foliation techniques. Basic quantum features of the models are discussed. Mistakes appearing in the previous papers are corrected.

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“…The NL/LSUSY relations are obtained systematically in superspace formalism by means of superfields on specific superspace coordinates depending on the NG fermions [4] (for recent review, see [9]). On the other hand, in the component expression, we have recently discussed a linearization procedure of NLSUSY based on a commutator algebra in the VA NLSUSY theory for extended SUSY [10]: In the VA NLSUSY theory, the NLSUSY action describing dynamics of NG fermions is defined from a fundamental determinant which corresponds to both a spontaneous SUSY breaking and a basic geometrical structure of spacetime with Grassmann coordinates.…”

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confidence: 99%

Commutator-based linearization of N = 1 nonlinear supersymmetry

Tsuda

2016

Mod. Phys. Lett. A

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We consider the linearization of N = 1 nonlinear supersymmetry (NL-SUSY) based on a commutator algebra in Volkov-Akulov NLSUSY theory. We show explicitly that U (1) gauge and scalar supermultiplets in addition to a vector supermultiplet with general auxiliary fields in linear SUSY theories are obtained from a same set of bosonic and fermionic functionals (composites) which are expressed as simple products of the powers of a Nambu-Goldstone fermion and a fundamental determinant in the NLSUSY theory.

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Gauge fields, nonlinear realizations, supersymmetry

Cited by 20 publications

References 174 publications

The goldstino brane, the constrained superfields and matter in N = 1 $$ \mathcal{N}=1 $$ supergravity

The goldstino brane, the constrained superfields and matter in N = 1 $$ \mathcal{N}=1 $$ supergravity

Conformally Coupled General Relativity

Commutator-based linearization of N = 1 nonlinear supersymmetry

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