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arXiv · 1610.09180

Perturbations of spiky strings in flat spacetimes

Soumya Bhattacharya·Sayan Kar·Kamal L. Panigrahi
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Abstract

Perturbations of a class of semiclassical strings known today as spiky strings, are studied using the well-known Jacobi equations for small normal deformations of an embedded timelike surface. It is shown that there exists finite normal perturbations of the spiky string worldsheets embedded in a $2+1$ dimensional flat spacetime. Such perturbations lead to a rounding off of the spikes, which, in a way, demonstrates the stable nature of the unperturbed worldsheet. The same features appear for the dual spiky string solution and in the spiky as well as their dual solutions in $3+1$ dimensional flat spacetime. Our results are based on exact solutions of the corresponding Jacobi equations which we obtain and use while constructing the profiles of the perturbed configurations.

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Soumya Bhattacharya, Sayan Kar, Kamal L. Panigrahi. 2017-01-16. Perturbations of spiky strings in flat spacetimes. https://doi.org/10.1007/jhep01(2017)116

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