Scalar field localization on 3-branes placed at a warped resolved conifold

Silva, J. E. G.; Almeida, C. A. S.

doi:10.1103/physrevd.84.085027

Cited by 30 publications

(58 citation statements)

References 26 publications

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“…Equation (45) differs from that presented by Oda in Ref. [23] through the nonhomogenous term in the righthand side.…”

Section: Gauge Vector Field Localizationmentioning

confidence: 78%

“…We have investigated its geometrical issues, as well as the behavior of the vector gauge field in this background. In our last article [45], we showed that a real scalar field exhibits some interesting results in this geometry, as a parametrization of the well-known volcano potential for the KK modes and a robust localization of the massless mode upon the resolution flow. Here, through a new warp function that possesses a Z 2 symmetry, we have analyzed the components of the stress-energy-momentum tensor, the string tensions, and the relation between the mass scales.…”

Section: Introductionmentioning

confidence: 97%

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Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

2013

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We have investigated the features of the gauge vector field in a braneworld scenario built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario allowed us to study how the gauge field behaves when the transverse manifold evolves upon a geometric flow that controls the singularity at the origin. Also, since the transverse manifold has a cylindrical symmetry according to the 3-brane, this geometry can be regarded as a near brane correction of the stringlike branes. Indeed, by means of a new warp function and the angular metric component of the resolved conifold, the braneworld can exhibit a conical form near the origin as well as a regular behavior in that region. The analysis of the gauge field in this background has been carried out for the s-wave state and a normalizable massless mode was found. For the massive modes, the resolution parameter avoids an infinite well on the brane and controls the depth of the well and the height of the barrier around the brane. The massive modes are slightly changed near the brane but they agree with the stringlike spectrum for large distances.

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“…Equation (45) differs from that presented by Oda in Ref. [23] through the nonhomogenous term in the righthand side.…”

Section: Gauge Vector Field Localizationmentioning

confidence: 78%

Section: Introductionmentioning

confidence: 97%

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

2013

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“…In five dimensional braneworlds, parameter-dependent domain walls are obtained by means of the deformed potentials [46,47]. In six dimensions, we proposed an exterior string solution evolving under a resolution flow, where the parameter comes from the 2-cycle of the resolved conifold as the transverse space, a well-known smoothed orbifold of string theory [48,49,50,51,52,53].…”

Section: Introductionmentioning

confidence: 99%

Gravity localization in a string-cigar braneworld

Silva¹,

Santos²,

Almeida³

2012

Class. Quantum Grav.

166

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Abstract.We proposed a six dimensional string-like braneworld built from a warped product between a 3-brane and the Hamilton cigar soliton space, the string-cigar braneworld. This transverse manifold is a well-known steady solution of the Ricci flow equation that describes the evolution of a manifold. The resulting bulk is an interior and exterior metric for a thick string. Furthermore, the source satisfies the dominant energy condition. It is possible to realize the geometric flow as a result of variations of the matter content of the brane, actually, as its tensions. Furthermore, the Ricci flow defines a family of string-like branes and we studied the effects that the evolution of the transverse space has on the geometric and physical quantities. The geometric flow makes the cosmological constant and the relationship between the Planck masses evolves. The gravitational massless mode remains trapped to the brane and the width of the mode depends on the evolution parameter. For the Kaluza-Klein modes, the asymptotic spectrum of mass is the same as for the thin string-like brane and the analogue Schrödinger potential also changes according to the flow.

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“…On the other hand, studies of field localization are very common in the literature in 5D [30][31][32][33][34][35] and 6D braneworld [6,7,12,14,[26][27][28]. In general, we find strategies of localization for all the Standard Model fields but the way that this localization is possible varies in different works.…”

Section: Introductionmentioning

confidence: 90%

Six-dimensional standing-wave braneworld with normal matter as source

2014

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A six dimensional standing wave braneworld model has been constructed. It consists in an anisotropic 4-brane generated by standing gravitational waves whose source is normal matter. In this model, the compact (on-brane) dimension is assumed to be sufficiently small in order to describe our universe (hybrid compactification). The bulk geometry is non-static, unlike most of the braneworld models in the literature. The principal feature of this model is the fact that the source is not a phantom like scalar field, as the original standing-wave model that was proposed in five dimensions and its six dimensional extension recently proposed in the literature. Here, it was obtained a solution in the presence of normal matter what assures that the model is stable. Also, our model is the first standing wave brane model in the literature which can be applied successfully to the hierarchy problem. Additionally, we have shown that the zero-mode for the scalar and fermionic fields are localized around the brane. Particularly for the scalar field we show that it is localized on the brane, regardless the warp factor is decreasing or increasing. This is in contrast to the case of the local string-like defect where the scalar field is localized for a decreasing warp factor only.

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Scalar field localization on 3-branes placed at a warped resolved conifold

Cited by 30 publications

References 26 publications

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

Gravity localization in a string-cigar braneworld

Six-dimensional standing-wave braneworld with normal matter as source

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