scholarly journals STABLE TWO-BRANE MODELS WITH BULK TACHYON MATTER

2009 ◽  
Vol 24 (24) ◽  
pp. 4457-4471 ◽  
Author(s):  
A. DAS ◽  
SAYAN KAR ◽  
SOUMITRA SENGUPTA
Keyword(s):  
Stability Analysis ◽  
Scalar Field ◽  
Source Term ◽  
Warp Factor ◽  
Hierarchy Problem ◽  
Bulk Scalar Field ◽  
Brane Models

We explore the possibility of constructing stable, warped two-brane models which solve the hierarchy problem, with a bulk noncanonical scalar field (tachyon matter) as the source term in the action. Among our examples are two models — one with a warp factor (denoted as e-2f(σ)) which differs from that of the standard Randall–Sundrum by the addition of a quadratic piece in the f(σ) and another, where the warping is superexponential. We investigate the issue of resolution of hierarchy and perform a stability analysis by obtaining the effective interbrane potentials, in each case. Our analysis reveals that there does exist stable values of the modulus consistent with hierarchy resolution in both the models. Thus, these models, in which the bulk scalar field generates the geometry and also ensures stability, provide viable alternatives to the standard Randall–Sundrum two-brane scenario.

scholarly journals CHAOTIC INFLATION ON THE RANDALL–SUNDRUM TWO-BRANE MODEL

2010 ◽  
Vol 25 (31) ◽  
pp. 2697-2713
Author(s):  
KOUROSH NOZARI ◽  
SIAMAK AKHSHABI
Keyword(s):  
Scalar Field ◽  
Field Potential ◽  
Friedmann Equation ◽  
Warp Factor ◽  
Model Parameters ◽  
Stabilization Mechanism ◽  
Brane Model ◽  
Inflation Model ◽  
Bulk Scalar Field ◽  
Chaotic Inflation

We construct an inflation model on the Randall–Sundrum I (RSI) brane where a bulk scalar field stabilizes the inter-brane separation. We study impact of the bulk scalar field on the inflationary dynamics on the brane. We proceed in two different approaches: in the first approach, the stabilizing field potential is directly appeared in the Friedmann equation and the resulting scenario is effectively a two-field inflation. In the second approach, the stabilization mechanism is considered in the context of a warp factor so that there is just one field present that plays the roles of both inflaton and stabilizer. We study constraints imposed on the model parameters from recent observations.

scholarly journals Static solutions for brane models with a bulk scalar field

2000 ◽  
Vol 481 (2-4) ◽  
pp. 386-396 ◽  
Author(s):  
Panagiota Kanti ◽  
Keith A. Olive ◽  
Maxim Pospelov
Keyword(s):  
Scalar Field ◽  
Static Solutions ◽  
Bulk Scalar Field ◽  
Brane Models

scholarly journals HIGHER DERIVATIVE OPERATORS AS COUNTERTERMS IN ORBIFOLD COMPACTIFICATIONS

2006 ◽  
Vol 21 (10) ◽  
pp. 769-780 ◽  
Author(s):  
DUMITRU GHILENCEA ◽  
HYUN MIN LEE
Keyword(s):  
Scalar Field ◽  
Supersymmetry Breaking ◽  
Zero Mode ◽  
Higgs Field ◽  
Hierarchy Problem ◽  
Higher Derivative ◽  
Dynamical Generation ◽  
Supersymmetric Models ◽  
Bulk Scalar Field

In the context of 5D N = 1 supersymmetric models compactified on S1/Z2 or S1/(Z2×Z2′) orbifolds and with brane-localized superpotential, higher derivative operators are generated radiatively as one-loop counterterms to the mass of the (brane or zero mode of the bulk) scalar field. It is shown that the presence of such operators which are brane-localised is not related to the mechanism of supersymmetry breaking considered (F-term, discrete or continuous Scherk–Schwarz breaking) and initial supersymmetry does not protect against the dynamical generation of such operators. Since in many realistic models the scalar field is commonly regarded as the Higgs field, and the higher derivative operators seem a generic presence in orbifold compactifications, we stress the importance of these operators for solving the hierarchy problem.

scholarly journals Dressing bulk fields in AdS3

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Daniel Kabat ◽  
Gilad Lifschytz
Keyword(s):  
Scalar Field ◽  
Wilson Line ◽  
Bulk Scalar Field

Abstract We study a set of CFT operators suitable for reconstructing a charged bulk scalar field ϕ in AdS3 (dual to an operator $$ \mathcal{O} $$ O of dimension ∆ in the CFT) in the presence of a conserved spin-n current in the CFT. One has to sum a tower of smeared non-primary scalars $$ {\partial}_{+}^m{J}^{(m)} $$ ∂ + m J m , where J(m) are primaries with twist ∆ and spin m built from $$ \mathcal{O} $$ O and the current. The coefficients of these operators can be fixed by demanding that bulk correlators are well-defined: with a simple ansatz this requirement allows us to calculate bulk correlators directly from the CFT. They are built from specific polynomials of the kinematic invariants up to a freedom to make field redefinitions. To order 1/N this procedure captures the dressing of the bulk scalar field by a radial generalized Wilson line.

Braneworld mimetic f(R) gravity

2019 ◽  
Vol 16 (03) ◽  
pp. 1950042 ◽  
Author(s):  
Kourosh Nozari ◽  
Naser Sadeghnezhad
Keyword(s):  
Scalar Field ◽  
Recent Work ◽  
Friedmann Equation ◽  
Equation Of Motion ◽  
Einstein’S Field Equations ◽  
Field Equations ◽  
Einstein's Field Equations ◽  
Bulk Scalar Field ◽  
Codazzi Equations ◽  
Mimetic Gravity

Following our recent work on braneworld mimetic gravity, in this paper, we study an extension of braneworld mimetic gravity to the case that the gravitational sector on the brane is modified in the spirit of [Formula: see text] theories. We assume the physical 5D bulk metric in the Randall–Sundrum II braneworld scenario consists of a 5D scalar field (which mimics the dark sectors on the brane) and an auxiliary 5D metric. We find the 5D Einstein’s field equations and the 5D equation of motion of the bulk scalar field in this setup. By using the Gauss–Codazzi equations, we obtain the induced Einstein’s field equations on the brane. Finally, by adopting the FRW background, we find the Friedmann equation on the brane in this [Formula: see text] mimetic braneworld setup.

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