Hidden conformal symmetry in Randall–Sundrum 2 model: Universal fermion localization by torsion

Alencar, G.

doi:10.1016/j.physletb.2017.09.014

Cited by 18 publications

(8 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We must stress that the analysis performed for the spinor field considered only Yukawa-like interactions, and also only in codimension 1 models. There are still other localization mechanisms and other dimensional configurations where this analysis could be carried out as for example [73].…”

Section: Final Remarksmentioning

confidence: 99%

Consistency conditions for fields localization on braneworlds

2020

Self Cite

View full text Add to dashboard Cite

The general procedure for analyzing the localization of matter fields in brane models is by integrating, in the action, its zero-mode solutions over the extra dimensions. If this is finite, the field is said to be localized. However, the zero-mode solutions must also satisfy the Einstein equations. With this in mind, we obtain stringent constraints on a general energy-momentum tensor by analyzing the Einstein equations. These consistency conditions must be satisfied for any braneworld model. We apply it for some fields of the Standard Model. For a free massless scalar field, the zero-mode localization is consistent only if the field does not depend on the extra dimensions. For the spin 1 2 field with Yukawa-like interactions, we find a very specific relation between Yukawa function and the warp factor. As a consequence, the spinor field localization becomes inconsistent for most of the models studied in the literature. For the free vector field case, we find that the zero modes do not satisfy the consistency conditions. Finally, we consider the mechanisms proposed to localize this field. We find that a few survive, and even for these, the consistency conditions fix the free parameters or the possible class of solutions allowed.

show abstract

Section: Final Remarksmentioning

confidence: 99%

Consistency conditions for fields localization on braneworlds

2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…As we have seen, the χ-component of the bosonic field b does not interfere in the localization scheme; the same happens with the χ component of the bosonic field A, at least in the strong mass limit. As it can be checked [22], is possible to localize both chiralities in the brane, by virtue of the presence of torsion. A careful analysis should be implemented to confirm this hint.…”

Section: Concluding Commentsmentioning

confidence: 99%

On a five-dimensional Chern–Simons AdS supergravity without gravitino

Gomes

Helayël-Neto

2018

Physics Letters B

View full text Add to dashboard Cite

Based on recent discussions on the so-called unconventional supersymmetry, we analyze a class of solutions of a 5D Chern-Simons AdS-N -SUGRA formulation without gravitino fields. With a Randall-Sundrum-type ansatz, we exploit the properties of Chern-Simons theories to find solutions to the fermionic field equations in a particular dimensional reduction context. We show that this specific dimensional reduction yields a non-trivial equation of motion for the fermionic field. We actually get a non-linear equation of motion for the fermionic fields, typical of models where torsion is present. This fermionic equation describes massive fermions with specific couplings with the bosonic supersymmetric degrees of freedom and we show that, in some specific limits, we can infer about the localization of the fermions' chirality components by means of the particular function that comes out to the dimensional reduction scheme.

show abstract

“…In this context, beyond gravity and scalar fields, also left handed fermions (or right, but no both) are localized by a Yukawa coupling with the scalar field, but gauge fields continue non-localizable. Recently, the problem of gauge fields localization was solved in two ways: (i) introducing a new degree of freedom in gravitation action, called dilaton [8], or (ii) introducing non-minimal coupling called geometrical coupling [9][10][11][12], where no news degrees of freedom are necessary. However, all these works considers only D = 5 and by then nobody had studied the conditions for localization of zero modes of these fields, except for q-forms [13,14].…”

Section: Jhep02(2018)018mentioning

confidence: 99%

Spinors fields in co-dimension one braneworlds

Mendes

Alencar

Landim

2018

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Abstract:In this work we analyze the zero mode localization and resonances of 1/2−spin fermions in co-dimension one Randall-Sundrum braneworld scenarios. We consider deltalike, domain walls and deformed domain walls membranes. Beyond the influence of the spacetime dimension D we also consider three types of couplings: (i) the standard Yukawa coupling with the scalar field and parameter η 1 , (ii) a Yukawa-dilaton coupling with two parameters η 2 and λ and (iii) a dilaton derivative coupling with parameter h. Together with the deformation parameter s, we end up with five free parameter to be considered. For the zero mode we find that the localization is dependent of D, because the spinorial representation changes when the bulk dimensionality is odd or even and must be treated separately. For case (i) we find that in odd dimensions only one chirality can be localized and for even dimension a massless Dirac spinor is trapped over the brane. In the cases (ii) and (iii) we find that for some values of the parameters, both chiralities can be localized in odd dimensions and for even dimensions we obtain that the massless Dirac spinor is trapped over the brane. We also calculated numerically resonances for cases (ii) and (iii) by using the transfer matrix method. We find that, for deformed defects, the increasing of D induces a shift in the peaks of resonances. For a given λ with domain walls, we find that the resonances can show up by changing the spacetime dimensionality. For example, the same case in D = 5 do not induces resonances but when we consider D = 10 one peak of resonance is found. Therefore the introduction of more dimensions, diversely from the bosonic case, can change drastically the zero mode and resonances in fermion fields.

show abstract

Hidden conformal symmetry in Randall–Sundrum 2 model: Universal fermion localization by torsion

Cited by 18 publications

References 13 publications

Consistency conditions for fields localization on braneworlds

Consistency conditions for fields localization on braneworlds

On a five-dimensional Chern–Simons AdS supergravity without gravitino

Spinors fields in co-dimension one braneworlds

Contact Info

Product

Resources

About