Poincarésupergravity as broken superconformal gravity

Kaku, Michio; Townsend, Paul

doi:10.1016/0370-2693(78)90098-9

Cited by 181 publications

(157 citation statements)

References 17 publications

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“…First of all in order that the gauge condition (C.7) can be satisfied, 15) and thus N I J (z, z * ) should have at least one negative eigenvalue for all values of the scalars in the domain.…”

Section: Constructionmentioning

confidence: 99%

Superconformal symmetry, supergravity and cosmology

Каллош

Kofman

Linde

et al. 2000

Class. Quantum Grav.

172

300

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We introduce the general N = 1 gauge theory superconformally coupled to supergravity. The theory has local SU (2, 2|1) symmetry and no dimensional parameters. The superconformal origin of the Fayet-Iliopoulos (FI) terms is clarified. The phase of this theory with spontaneously broken conformal symmetry gives various formulations of N = 1 supergravity interacting with matter, depending on the choice of the R-symmetry fixing.We have found that the locally superconformal theory is useful for describing the physics of the early universe with a conformally flat FRW metric. Few applications of superconformal theory to cosmology include the study of i) particle production after inflation, particularly the nonconformal helicity-1 2 states of gravitino, ii) the super-Higgs effect in cosmology and the derivation of the equations for the gravitino interacting with any number of chiral and vector multiplets in the gravitational background with varying scalar fields, iii) the weak-coupling limit of supergravity M P → ∞ and gravitino-goldstino equivalence. This explains why gravitino production in the early universe is not suppressed in the limit of weak gravitational coupling.We discuss the possible existence of an unbroken phase of the superconformal theories, interpreted as a strong-coupling limit of supergravity M P → 0. † On leave of absence from Stanford University until 1 September 2000 ‡ Onderzoeksdirecteur, FWO, Belgium

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Section: Constructionmentioning

confidence: 99%

Superconformal symmetry, supergravity and cosmology

Каллош

Kofman

Linde

et al. 2000

Class. Quantum Grav.

172

300

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“…= 56 independent structures. From analyzing the representations, one can obtain that these are in the (4, 2)+(4, 4)+(16, 2) representations of SO(5) × SU (2). They are…”

Section: A Notations and Conventionsmentioning

confidence: 99%

Weyl multiplets of N = 2 conformal supergravity in five dimensions

Bergshoeff¹,

Wit²,

Halbersma³

et al. 2001

J. High Energy Phys.

241

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We construct the Weyl multiplets of N = 2 conformal supergravity in five dimensions. We show that there exist two different versions of the Weyl multiplet, which contain the same gauge fields but differ in the matter field content: the Standard Weyl multiplet and the Dilaton Weyl multiplet. At the linearized level we obtain the transformation rules for the Dilaton Weyl multiplet by coupling it to the multiplet of currents corresponding to an onshell vector multiplet. We construct the full non-linear transformation rules for both multiplets by gauging the D = 5 superconformal algebra F 2 (4). We show that the Dilaton Weyl multiplet can also be obtained by solving the equations of motion for an improved vector multiplet coupled to the Standard Weyl multiplet.

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“…In other words, we only need to require W αi to be an off-shell vector multiplet for these currents to exist. In particular, the constraint (2.19a) implies the condition (2.5), while the constraint (2.19b) is required to show 10 20) which ensures the existence of a conserved supersymmetry current that is, however, no longer γ-traceless, as well as a conserved energy-momentum tensor that is no longer traceless. These may be defined as…”

Section: Jhep02(2018)030mentioning

confidence: 99%

“…Despite this, it is still possible to work out a candidate for the trace superfield A αijk for a supergravity theory involving a compensating tensor multiplet. 20 We present this candidate below. We first observe that we can construct an appropriate primary field A αijk as follows…”

Section: Jhep02(2018)030mentioning

confidence: 99%

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Non-conformal supercurrents in six dimensions

Kuzenko

Novak

Theisen

2018

J. High Energ. Phys.

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Non-conformal supercurrents in six dimensions are described, which contain the trace of the energy-momentum tensor and the gamma-trace of the supersymmetry current amongst their component fields. Within the superconformal approach to N = (1, 0) supergravity, we present various distinct non-conformal supercurrents, one of which is associated with an O(2) (or linear) multiplet compensator, while another with a tensor multiplet compensator. We also derive an infinite class of non-conformal supercurrents involving O(n) multiplets with n > 2. As an illustrative example we construct the relaxed hypermultiplet in supergravity. Finally, we put forward a non-conformal supercurrent in the N = (2, 0) supersymmetric case.

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Poincarésupergravity as broken superconformal gravity

Cited by 181 publications

References 17 publications

Superconformal symmetry, supergravity and cosmology

Superconformal symmetry, supergravity and cosmology

Weyl multiplets of N = 2 conformal supergravity in five dimensions

Non-conformal supercurrents in six dimensions

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