q-form fields on p-branes

Fu, Chu-Li; Liu, Yu-Xiao; Yang, Ke; Wei, Shao-Wen

doi:10.1007/jhep10(2012)060

Cited by 25 publications

(25 citation statements)

References 24 publications

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“…Then with a given brane solution, we can use the equations (11a) and (11b) to calculate the mass spectrum m n and the wave functions U (n) 1 (z) and U (n) 2 (z) for the q-and (q − 1)-form KK modes, respectively. And the results are different from the former works [45,63,64], where only the Schrödinger-like equation (11a) was found. Not all the KK modes solved from (11a) or (11b) can be localized on the brane, since the orthonormality conditions (7a) or (7b) cannot be satisfied automatically.…”

Section: Review Of the New Localization Mechanismcontrasting

confidence: 99%

“…In Ref. [45], the authors gave a p-brane solution with a finite extra dimension, which is constructed by two scalar fields φ and π . The action of this system is (14) Then, with the conformally flat metric (2) and using the superpotential method, the solution for the brane system was found as [45]…”

Section: Bound Kk Modesmentioning

confidence: 99%

“…In this paper, we would like to investigate localization and mass spectra for bulk q-form fields in two typical brane models by following the general KK decomposition (5). We first consider a p-brane model with a finite extra dimension [45]. Using numerical method we will find that for a bulk 3-form field, there are some massive bound 3-form KK modes X (n) [3] and a series of massless bound 2-form ones X (n) [2] with different extra dimensional configurations U (n) 2 on the 3-brane.…”

Section: Introductionmentioning

confidence: 99%

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Localization and mass spectrum of q -form fields on branes

Zhong

Xie

et al. 2016

Physics Letters B

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In this paper, we investigate localization of a bulk massless q-form field on codimension-one branes by using a new Kaluza-Klein (KK) decomposition, for which there are two types of KK modes for the bulk q-form field, the q-form and (q − 1)-form modes. The first modes may be massive or massless while the second ones are all massless. These two types of KK modes satisfy two Schrödinger-like equations. For a five-dimensional brane model with a finite extra dimension, the spectrum of a bulk 3-form field on the brane consists of some massive bound 3-form KK modes as well as some massless bound 2-form ones with different configuration along the extra dimension. These 2-form modes are different from those obtained from a bulk 2-form field. For a five-dimensional degenerated Bloch brane model with an infinite extra dimension, some massive 3-form resonant KK modes and corresponding massless 2-form resonant ones are obtained for a bulk 3-form field.where the field strengthq+1 ] . The 0-form and 1-form fields are just scalar and vector fields. The higher q-form fields with q ≥ 2 are new types of fields in a higher-dimensional space-time with dimension D > 4, which are used to solve some unknown problems such as the cosmological constant problem or dark energy http://dx.

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Section: Review Of the New Localization Mechanismcontrasting

confidence: 99%

Section: Bound Kk Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Localization and mass spectrum of q -form fields on branes

Zhong

Xie

et al. 2016

Physics Letters B

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“…It is important to point that in the models mentioned here the Hodge Duality is not valid since quadratic terms breaks this duality. The analysis of massive modes of p-forms has also been considered in the literature [22][23][24][25][26][27] After the work of RS several recent results have been developed based on the idea of thick membranes and its implications for brane-world physics [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. The advantage of these models is that the singularity generated by the brane is eliminated.…”

Section: Jhep04(2015)003mentioning

confidence: 99%

Massive p-form trapping as a p-form on a brane

Jardim

Alencar

Landim

et al. 2015

J. High Energ. Phys.

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It is shown here that the zero mode of any form field can be trapped to the brane using the model proposed by Ghoroku and Nakamura. We start proven that the equations of motion can be obtained without splitting the field in even and odd parts. The massive and tachyonic cases are studied revealing that this mechanism only traps the zero mode. The result is then generalized to thick branes. In this scenario, the use of a delta like interaction of the quadratic term is necessary leading to a "mixed" potential with singular and smooth contributions. It is also shown that all forms produces an effective theory in the brane without gauge fixing. The existence of resonances with the transfer matrix method is then discussed. With this we analyze the resonances and look for peaks indicating the existence of unstable modes. Curiously no resonances are found in opposition of other models in the literature. Finally we find analytical solutions for arbitrary p-forms when a specific kind of smooth scenario is considered.

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“…It is important to point that in the model proposed here the Hodge Duality is not valid since we consider mass terms in the action that break the duality. Beyond the zero mode localization the resonances of p-forms has also been studied [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 98%

Gauge field emergence from Kalb–Ramond localization

et al. 2015

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A new mechanism, valid for any smooth version of the Randall-Sundrum model, of getting localized massless vector field on the brane is described here. This is obtained by dimensional reduction of a five dimension massive two form, or Kalb-Ramond field, giving a Kalb-Ramond and an emergent vector field in four dimensions. A geometrical coupling with the Ricci scalar is proposed and the coupling constant is fixed such that the components of the fields are localized. The solution is obtained by decomposing the fields in transversal and longitudinal parts and showing that this gives decoupled equations of motion for the transverse vector and KR fields in four dimensions. We also prove some identities satisfied by the transverse components of the fields. With this is possible to fix the coupling constant in a way that a localized zero mode for both components on the brane is obtained. Then, all the above results are generalized to the massive p-form field. It is also shown that in general an effective p and (p − 1)-forms cannot be localized on the brane and we have to sort one of them to localize. Therefore, we cannot have a vector and a scalar field localized by dimensional reduction of the five dimensional vector field. In fact we find the expression p = (d − 1)/2 which determines what forms will give rise to both fields localized. For D = 5, as expected, this is valid only for the KR field.

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q-form fields on p-branes

Cited by 25 publications

References 24 publications

Localization and mass spectrum of q -form fields on branes

Localization and mass spectrum of q -form fields on branes

Massive p-form trapping as a p-form on a brane

Gauge field emergence from Kalb–Ramond localization

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