Stochastic tachyon fluctuations, marginal deformations, and shock waves in string theory

Sfetsos, Konstadinos

doi:10.1103/physrevd.52.2323

Cited by 3 publications

(4 citation statements)

References 43 publications

(64 reference statements)

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“…Finally we mention that, as it was shown for the case of shock waves in [31], the modifications of backgrounds we are considering, can be given a string theoretical interpretation as marginal perturbations by a massless vertex operator along the lines discussed in the work of [39].…”

Section: The Shock Wave Limitmentioning

confidence: 63%

“…This method was employed in order to construct shock waves on purely gravitational backgrounds in [29] and has been generalized in the presence of matter fields, of a non-vanishing cosmological constant as well as for shock waves in string theory [30,31].…”

Section: The Shock Wave Limitmentioning

confidence: 99%

“…Changing variables as v = v + 1 2 Θ(u)V shock we obtain back the standard form we 've been using. This method was employed in order to construct shock waves on purely gravitational backgrounds in [29] and has been generalized in the presence of matter fields, of a non-vanishing cosmological constant as well as for shock waves in string theory [30,31]. 5 Also shock wave solutions have been recently constructed in relation to brane-world scenarios and brane-induced gravity [37,38].…”

Section: The Shock Wave Limitmentioning

confidence: 99%

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Fundamental branes and shock waves

Sfetsos¹

2005

Nuclear Physics B

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We construct supersymmetric brane solutions in string and M-theory with moduli parameters that depend arbitrarily on the light-cone time. Our investigation aims in understanding time dependent phenomena in gauge theories at strong coupling within the gauge/gravity correspondence. For that reason we use, as a basic ingredient, multicenter supergravity solutions which model the Coulomb branch of the corresponding strongly coupled gauge theories. We introduce the notion of shape invariant motions and show that in a particular limit involving pulse-type motions of finite energy, the solutions represent gravitational shock waves moving on the brane background geometry. We apply the general formalism for D3-branes distributed on a disc and on a sphere as well as for NS5-branes distributed on a ring, all with time varying radii. We examine the problem of open strings attached on moving branes and suggest a mechanism which may be responsible for giving rise at a macroscopic level to gravitational shock waves.

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Section: The Shock Wave Limitmentioning

confidence: 63%

Section: The Shock Wave Limitmentioning

confidence: 99%

Section: The Shock Wave Limitmentioning

confidence: 99%

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Fundamental branes and shock waves

Sfetsos¹

2005

Nuclear Physics B

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“…Generalizations of the Aichelburg-Sexl waves, describing a relativistic particle in a 4D flat space [21,22], to curved spaces and to more dimensions, as well as the properties of the solutions, have been considered in [28,29,30,31,32,33,34,35,36,37,38]. As in those cases, we find that the gravitational field equations reduce to a single linear partial differential equation for the shock wave.…”

Section: Setupmentioning

confidence: 88%

Locally localized gravity: the inside story

Kaloper

Sorbo

2005

J. High Energy Phys.

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We derive the exact gravitational field of a relativistic particle localized on an AdS 3-brane, with curvature radius ℓ, in AdS 5 bulk with radius L. The solution is a gravitational shock wave. We use it to explore the dynamics of locally localized tensor gravitons over a wide range of scales. At distances below L the shock wave looks exactly like the 5D GR solution. Beyond L the solution approximates very closely the shock wave in 4D AdS space all the way out to distances ℓ 3 /L 2 along the brane. At distances between L and ℓ, the effective 4D graviton is a composite built of the ultralight mode and heavier gravitons, whereas between ℓ and ℓ 3 /L 2 it is just the ultralight mode. Finally beyond ℓ 3 /L 2 the shock reveals a glimpse of the fifth dimension, since the ultralight mode wave function decays to zero at the rate inherited from the full 5D geometry. We obtain the precise bulk-side formula for the 4D Planck mass, defined as the coupling of the ultralight mode, in terms of the 5D Planck mass and the curvature radii. It includes higher-order corrections in L/ℓ, and reduces to the RS2 formula in the limit ℓ → ∞. We discuss AdS/CF T interpretation of these results, and argue that the spatial variation of the effective gravitational coupling read from the shock wave amplitude corresponds to RG running driven by quantum effects in the dual CF T .

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Exact gravitational shock waves and Planckian scattering on branes

Emparan

2001

Phys. Rev. D

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We obtain a solution describing a gravitational shock wave propagating along a Randall-Sundrum brane. The interest of such a solution is twofold: on the one hand, it is the first exact solution for a localized source on a Randall-Sundrum three-brane. On the other hand, one can use it to study forward scattering at Planckian energies, including the effects of the continuum of Kaluza-Klein modes. We map out the different regimes for the scattering obtained by varying the center-of-mass energy and the impact parameter. We also discuss exact shock waves in ADD scenarios with compact extra dimensions.

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Stochastic tachyon fluctuations, marginal deformations, and shock waves in string theory

Cited by 3 publications

References 43 publications

Fundamental branes and shock waves

Fundamental branes and shock waves

Locally localized gravity: the inside story

Exact gravitational shock waves and Planckian scattering on branes

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