Perturbations of spiky strings in flat spacetimes

Bhattacharya, Soumya; Kar, Sayan; Panigrahi, Kamal L.

doi:10.1007/jhep01(2017)116

Cited by 5 publications

(8 citation statements)

References 38 publications

(54 reference statements)

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“…The solutions of this equation gives the deviation between a minimal surface and a neighboring minimal surface. In the physics literature the Jacobi equation has been studied in the context of relativistic membranes [21] and spiky strings on a flat background [22]. However this equation is relevant only when the metric of the ambient space is fixed.…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy

Ghosh

Mishra

2018

Phys. Rev. D

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The change in holographic entanglement entropy (HEE) for small fluctuations about pure anti-de Sitter (AdS) is obtained by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal surface. However it is known that change in the embedding appears at second order or higher. It was shown that these changes in the embedding can be calculated in the 2 þ 1 dimensional case by solving a "generalized geodesic deviation equation." We generalize this result to arbitrary dimensions by deriving an inhomogeneous form of the Jacobi equation for minimal surfaces. The solutions of this equation map a minimal surface in a given space time to a minimal surface in a space time which is a perturbation over the initial space time. Using this we perturbatively calculate the changes in HEE up to second order for boosted black brane like perturbations over AdS 4 .

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Section: Introductionmentioning

confidence: 99%

Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy

Ghosh

Mishra

2018

Phys. Rev. D

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“…The perturbation of spiky strings in flat and AdS space, in covariant formalism, has been discussed in Refs. [27,40].…”

Section: Introductionmentioning

confidence: 99%

Perturbation of pulsating strings

2018

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We discuss semiclassical quantization of circular pulsating strings in AdS 3 × S 3 background with and without the Neveu-Schwarz-Neveu-Schwarz (NS-NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic sector in terms of scalar quantities and invariants of the geometry. The general equations for studying physical perturbations along the string in an arbitrary curved spacetime are written down using covariant formalism. We discuss the stability of these string configurations by studying the solutions of the linearized perturbed equations of motion. Contents

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“…Motivated by various studies on general classes of rotating strings in AdS 5 × S 5 , in this paper, we investigate the classical stability of the spiky strings in AdS 3 using the well-known Jacobi equations [27], [28], [29], [30] which govern normal deformations of an embedded surface. Apart from [25], related recent work on such perturbations can be found in [31]. The rest of this article is organised as follows.…”

Section: Introductionmentioning

confidence: 99%

Perturbations of spiky strings in AdS3

Bhattacharya

Kar

Panigrahi

2018

J. High Energ. Phys.

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Perturbations of a class of semiclassical spiky strings in three dimensional Anti-de Sitter (AdS) spacetime, are investigated using the well-known Jacobi equations for small, normal deformations of an embedded timelike surface. We show that the equation for the perturbation scalar which governs the behaviour of such small deformations, is a special case of the well-known Darboux-Treibich-Verdier (DTV) equation. The eigenvalues and eigensolutions of the DTV equation for our case are obtained by solving certain continued fractions numerically. These solutions are thereafter utilised to further demonstrate that there do exist finite perturbations of the AdS spiky strings. Our results therefore establish that the spiky string configurations in AdS 3 are indeed stable against small fluctuations. Comments on future possibilities of work are included in conclusion.

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Perturbations of spiky strings in flat spacetimes

Cited by 5 publications

References 38 publications

Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy

Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy

Perturbation of pulsating strings

Perturbations of spiky strings in AdS3

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