Low energy effective action for Hořava-Witten cosmology

Kanno, Sugumi

doi:10.1103/physrevd.72.024009

Cited by 7 publications

(8 citation statements)

References 39 publications

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“…gµν . We should note that this effective action can be derived by substituting in (2.5) the 5D solutions up to the first order and integrating it over the fifth dimension [43].…”

Section: The 4d Effective Theorymentioning

confidence: 99%

“…[25] (see Refs. [42] and [43] for different approaches). This effective theory is derived by solving the 5D equations of motion using the gradient expansion method [12,44,45], where we assume that the velocities of the branes are small compared with the curvature scale of the bulk determined by the warp factor.…”

Section: Introductionmentioning

confidence: 99%

“…Of course, the nonvanishing Kµν changes the metric (2.73) and one could argue that the resultant 4D effective action would be also changed. However, it is shown that even if we include the first order corrections (1) gµν (x) to the metric, the resultant 4D effective action derived by integrating out the fifth dimension does not change [43]. Therefore, for 4D solutions that do not satisfy (2.75), we should include the corrections to the metric (2.73).…”

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confidence: 99%

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On the four-dimensional effective theories in brane-worlds

Arroja

2008

Preprint

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“…gµν . We should note that this effective action can be derived by substituting in (2.5) the 5D solutions up to the first order and integrating it over the fifth dimension [43].…”

Section: The 4d Effective Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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On the four-dimensional effective theories in brane-worlds

Arroja

2008

Preprint

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“…gµν . We should note that this effective action can be derived by substituting in (5) the 5D solutions up to the first order and integrating it over the fifth dimension [11].…”

Section: The 4d Effective Theorymentioning

confidence: 99%

“…For particular values of parameters we retrieve either the Hořava-Witten theory or the Randall-Sundrum model. We identify the origin of the moduli instability using a 4D effective theory derived in [9] (see [10] and [11] for different approaches). This effective theory is derived by solving the 5D equations of motion using the gradient expansion method [12], where we assume that the velocities of the branes are small compared with the curvature scale of the bulk determined by the warp factor.…”

Section: Introductionmentioning

confidence: 99%

Moduli instability in warped compactification—4D effective theory approach

Arroja¹,

Koyama²

2006

Class. Quantum Grav.

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We consider a 5D BPS dilatonic two brane model which reduces to the Randall-Sundrum model or the Hořava-Witten theory for a particular choice of parameters. Recently new dynamical solutions were found by Chen et al., which describe a moduli instability of the warped geometry. Using a 4D effective theory derived by solving the 5D equations of motion, based on the gradient expansion method, we show that the exact solution of Chen et al. can be reproduced within the 4D effective theory and we identify the origin of the moduli instability. We revisit the gradient expansion method with a new metric ansatz to clarify why the 4D effective theory solution can be lifted back to an exact 5D solution. Finally we argue against a recent claim that the 4D effective theory allows a much wider class of solutions than the 5D theory and provide a way to lift solutions in the 4D effective theory to 5D solutions perturbatively in terms of small velocities of the branes.

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AdS/CFT on the Brane

Soda¹

2011

From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence

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It is widely recognized that the AdS/CFT correspondence is a useful tool to study strongly coupled field theories. On the other hand, Randall-Sundrum (RS) braneworld models have been actively discussed as a novel cosmological framework. Interestingly, the geometrical set up of braneworlds is quite similar to that in the AdS/CFT correspondence. Hence, it is legitimate to seek a precise relation between these two different frameworks. In this lecture, I will explain how the AdS/CFT correspondence is related to the RS braneworld models. There are two different versions of RS braneworlds, namely, the single-brane model and the twobrane model. In the case of the single-brane model, we reveal the relation between the geometrical and the AdS/CFT correspondence approach using the gradient expansion method. It turns out that the high energy and the Weyl term corrections found in the geometrical approach correspond to the CFT matter correction found in the AdS/CFT correspondence approach. In the case of two-brane system, we also show that the AdS/CFT correspondence plays an important role in the sense that the low energy effective field theory can be described by the conformally coupled scalar-tensor theory where the radion plays the role of the scalar field. We also discuss dilatonic braneworld models from the point of view of the AdS/CFT correspondence.

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Low energy effective action for Hořava-Witten cosmology

Cited by 7 publications

References 39 publications

On the four-dimensional effective theories in brane-worlds

On the four-dimensional effective theories in brane-worlds

Moduli instability in warped compactification—4D effective theory approach

AdS/CFT on the Brane

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