Geometric approach to modulus stabilization

Anand, Sampurn; Choudhury, Debajyoti; Sen, Anjan A.; SenGupta, Soumitra

doi:10.1103/physrevd.92.026008

Cited by 20 publications

(28 citation statements)

References 31 publications

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“…(26).˜ a = (e A(y)γ μ , −iγ 5 ) is for the five dimensional gamma matrices whereγ μ and γ 5 represent 4D gamma matrices in ST theory. By using the form ofG M N , the covariant derivative D a can be calculated and is given bỹ…”

Section: Fermion Localization In the Corresponding Scalar-tensor (St)mentioning

confidence: 99%

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Fermion localization in higher curvature and scalar–tensor theories of gravity

Mitra¹,

Paul

SenGupta

2017

Eur. Phys. J. C

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It is well known that, in a braneworld model, the localization of fermions on a lower dimensional submanifold (say a TeV 3-brane) is governed by the gravity in the bulk, which also determines the corresponding phenomenology on the brane. Here we consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature like F(R) gravity. In such a scenario, we explore the role of higher curvature terms on the localization of bulk fermions which in turn determines the effective radion-fermion coupling on the brane. Our result reveals that, for appropriate choices of the higher curvature parameter, the profiles of the massless chiral modes of the fermions may get localized near the TeV brane, while those for massive Kaluza-Klein (KK) fermions localize towards the Planck brane. We also explore these features in the dual scalar-tensor model by appropriate transformations. The localization property turns out to be identical in the two models. This rules out the possibility of any signature of massive KK fermions in TeV scale collider experiments due to higher curvature gravity effects.

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Section: Fermion Localization In the Corresponding Scalar-tensor (St)mentioning

confidence: 99%

“…Subsequently different variants of the warped geometry model and the issue of modulus (also known as radion) stabilization were extensively studied in [21][22][23][24][25][26][27][28][29][30][31]. A generic feature of many of these models is that the bulk spacetime is endowed with high curvature scale ∼ four dimensional Planck scale.…”

Section: Introductionmentioning

confidence: 99%

Fermion localization in higher curvature and scalar–tensor theories of gravity

Mitra¹,

Paul

SenGupta

2017

Eur. Phys. J. C

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“…3 for a detailed discussion). In general F(R) model can be mapped into a scalar-tensor theory at the action level by a conformal transformation of the metric [31,32,[40][41][42][43][44][45]. The issue of instability of the original F(R) model is now reflected in the form of the kinetic and potential terms of the scalar field in the dual scalar-tensor model, where the potential will have a stable minimum and a kinetic term with proper signature if the original F(R) model is free from ghosts (see Sect.…”

Section: Introductionmentioning

confidence: 99%

Radion stabilization in higher curvature warped spacetime

et al. 2018

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We consider a five dimensional AdS spacetime in presence of higher curvature term like F(R) = R + α R 2 in the bulk. In this model, we examine the possibility of modulus stabilization from the scalar degrees of freedom of higher curvature gravity free of ghosts. Our result reveals that the model stabilizes itself and the mechanism of modulus stabilization can be argued from a geometric point of view. We determine the region of the parametric space for which the modulus (or radion) can to be stabilized. We also show how the mass and coupling parameters of radion field are modified due to higher curvature term leading to modifications of its phenomenological implications on the visible 3-brane.

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“…It is also well known that f (R) gravity theories can be related to scalar-tensor theories by a conformal transformation at the action level [22][23][24][32][33][34][35][36][37][38]. Thus it is important to consider the following situation -obtaining field equations from the scalar-tensor representation and from f (R) gravity representation.…”

Section: Introductionmentioning

confidence: 99%

Solving higher curvature gravity theories

Chakraborty

SenGupta

2016

Eur. Phys. J. C

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Solving field equations in the context of higher curvature gravity theories is a formidable task. However, in many situations, e.g., in the context of f (R) theories, the higher curvature gravity action can be written as an EinsteinHilbert action plus a scalar field action. We show that not only the action but the field equations derived from the action are also equivalent, provided the spacetime is regular. We also demonstrate that such an equivalence continues to hold even when the gravitational field equations are projected on a lower-dimensional hypersurface. We have further addressed explicit examples in which the solutions for Einstein-Hilbert and a scalar field system lead to solutions of the equivalent higher curvature theory. The same, but on the lowerdimensional hypersurface, has been illustrated in the reverse order as well. We conclude with a brief discussion on this technique of solving higher curvature field equations.

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Geometric approach to modulus stabilization

Cited by 20 publications

References 31 publications

Fermion localization in higher curvature and scalar–tensor theories of gravity

Fermion localization in higher curvature and scalar–tensor theories of gravity

Radion stabilization in higher curvature warped spacetime

Solving higher curvature gravity theories

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