Dilaton and second-rank tensor fields as supersymmetric compensators

Rajpoot, Subhash

doi:10.1103/physrevd.76.065004

Cited by 6 publications

(11 citation statements)

References 36 publications

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“…that this property is valid not only for Abelian case [14], but also for the present non-Abelian case. If we define V µ I by…”

Section: Preliminaries For Proca-stueckelberg Formalismsupporting

confidence: 58%

“…Even though this formulation seems just parallel to the Abelian case [14], the above formulation is valid also for non-Abelian case with non-trivial interactions.…”

Section: Preliminaries For Proca-stueckelberg Formalismmentioning

confidence: 99%

“…A similar formulation is possible for the 2 -form non-Abelian compensator tenor field B µν I absorbed into the longitudinal component of the 3 -form tensor C µνρ I . This mechanism is the non-Abelian generalization of the Abelian case in [14] We start with the lagrangian…”

Section: Preliminaries For Proca-stueckelberg Formalismmentioning

confidence: 99%

“…Independent of these developments, we have presented in our previous paper [8] a supersymmetric non-Abelian Proca-Stueckelberg formalism in 3D. In the formulation in [8], the scalar compensator multiplet (ϕ I , χ I ) separate from the vector multiplet (A µ I , λ I ) was used, where the scalar ϕ I is absorbed into the longitudinal component of A µ I , making the latter massive. We were not aware whether the 4D analog of this formalism was possible at that time, except for those superspace results in [6][7] [4].…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, we present a formulation which is different from the superspace formulation [6], but in a direction similar to [8]. Our mechanism contains both the compensator scalar ϕ I and 2-form tensor B µν I , respectively absorbed into the YM A µ I and the 3-form non-Abelian tensor C µνρ I in the vector multiplet.…”

Section: Introductionmentioning

confidence: 99%

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Variant supersymmetric non-Abelian Proca–Stueckelberg formalism in four dimensions

Rajpoot

2013

Nuclear Physics B

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We present a new (variant) formulation of N = 1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. We call this 'variant supersymmetric non-Abelian Proca-Stueckelberg formalism'. Our field content is economical, consisting only of the two multiplets: (i) A Non-Abelian vector multiplet (A µ I , λ I , C µνρ I ) and (ii) A compensator tensor multiplet (B µν I , χ I , ϕ I ). The index I is for the adjoint representation of a non-Abelian gauge group. The C µνρ I is originally an auxiliary field Hodge-dual to the conventional auxiliary field D I . The ϕ I and B µν I are compensator fields absorbed respectively into the longitudinal components of A µ I and C µνρ I which become massive. After the absorption, C µνρ I becomes no longer auxiliary, but starts propagating as a massive scalar field. We fix all non-trivial cubic interactions in the total lagrangian, and quadratic interactions in all field equations. The superpartner fermion χ I acquires a Dirac mass shared with the gaugino λ I . As an independent confirmation, we give the superspace re-formulation of the component results.

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“…that this property is valid not only for Abelian case [14], but also for the present non-Abelian case. If we define V µ I by…”

Section: Preliminaries For Proca-stueckelberg Formalismsupporting

confidence: 58%

“…Even though this formulation seems just parallel to the Abelian case [14], the above formulation is valid also for non-Abelian case with non-trivial interactions.…”

Section: Preliminaries For Proca-stueckelberg Formalismmentioning

confidence: 99%

Section: Preliminaries For Proca-stueckelberg Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Variant supersymmetric non-Abelian Proca–Stueckelberg formalism in four dimensions

Rajpoot

2013

Nuclear Physics B

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Weyl's scale invariance for the standard model, renormalizability and the zero cosmological constant

Nishino¹,

Rajpoot²

2011

Class. Quantum Grav.

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We introduce Weyl's local scale invariance into the standard model (SM) with an extra scalar σ. The total symmetry group of the system is , where the last three subgroups are the usual SM gauge group, while is Weyl's local scale invariance group with its gauge field called Weylon. The extra scalar φ ≡ −MP ln(κσ) with the Planck mass MP and κ ≡ 1/MP plays a role of a Stückelberg-type compensator, breaking the symmetry at the tree level. Our potential of a Higgs doublet Φ and the compensator φ is V = λ(Φ†Φ)2 − μM2P(Φ†Φ) e−2κφ + ξMP4 e−4κφ. Even after the SU(2) breaking, this system yields a vanishing cosmological constant Rμν = 0, thanks to the identity 4V ≡ −MP(∂V/∂φ) + Φ(∂V/∂Φ) + Φ†(∂V/∂Φ†), because of local scale invariance. The cancellation condition for the trace anomaly out of quantum fluctuations is also given. Scale invariance dictates that the only possible new divergent terms be of the form and . These results provide the strong indication that this theory is most likely renormalizable, and the classical-level zero-cosmological constant mechanism will continue to be maintained at the quantum level.

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Dilaton and axion as compensators coupled toN=1supergravity

Rajpoot¹

2008

Phys. Rev. D

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We present a locally N ¼ 1 supersymmetric model of the dilaton ' and the two-form tensor (axion) B as compensators without propagation. This is a generalization of our previous model with global N ¼ 1 supersymmetry to local N ¼ 1 supersymmetry. The dilaton ' and the axion B are, respectively, absorbed into the vector A and the three-form tensor C , where the latter is dual to the ordinary auxiliary field D in the usual vector multiplet. With local N ¼ 1 supersymmetry, we have three multiplets: the multiplet of supergravity ðe m ; c Þ, linear multiplet ðB ; ; 'Þ, and the vector multiplet ðA ; ; C Þ. We find that the field strengths of B and C need the following particular Chern-Simons terms for consistency with local supersymmetry: G 3dB À 6BD' þ 3mBA þ mC and H ¼ 4dC À 6BF þ 4GA þ 8CD' À 4mCA. The newly established supergravity couplings provide the supporting evidence of the consistency of our basic system of the dilaton and axion as compensators.

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Dilaton and second-rank tensor fields as supersymmetric compensators

Cited by 6 publications

References 36 publications

Variant supersymmetric non-Abelian Proca–Stueckelberg formalism in four dimensions

Variant supersymmetric non-Abelian Proca–Stueckelberg formalism in four dimensions

Weyl's scale invariance for the standard model, renormalizability and the zero cosmological constant

Dilaton and axion as compensators coupled toN=1supergravity

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