Dual spikes—New spiky string solutions

Mosaffa, Amir E.; Safarzadeh, B.

doi:10.1088/1126-6708/2007/08/017

Cited by 38 publications

(58 citation statements)

References 57 publications

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“…If u 1 < u 0 , as in reference [39], the inner product will be negative, and the surface will be not time-like, but space-like. The spikes lie at radius ρ 1 and they move with the speed of light.…”

Section: Pohlmeyer Reduction Of Spiky Stringsmentioning

confidence: 96%

“…It would be interesting to study the extension to other target space geometries, such as the sphere. Spiky string solutions are known to exist on the sphere [39,45], thus it is very probable that there is an analogous treatment for them. In higher dimensional symmetric spaces, Pohlmeyer reduction results in multi-component generalizations of the sinh-or cosh-Gordon equations.…”

Section: Jhep07(2016)070mentioning

confidence: 99%

“…In AdS 3 , a family of interesting solutions, possessing a finite number of singular points, were discovered some years ago [38][39][40][41]. These solutions, which are called spiky strings, are interesting in the framework of AdS/CFT, as they can be related to single trace operators of the dual CFT [38].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On elliptic string solutions in AdS3 and dS3

Bakas

Pastras

2016

J. High Energ. Phys.

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Classical string actions in AdS 3 and dS 3 can be connected to the sinh-Gordon and cosh-Gordon equations through Pohlmeyer reduction. We show that the problem of constructing a classical string solution with a given static or translationally invariant Pohlmeyer counterpart is equivalent to solving four pairs of effective Schrödinger problems. Each pair consists of a flat potential and an n = 1 Lamé potential whose eigenvalues are connected, and, additionally, the four solutions satisfy a set of constraints. An approach for solving this system is developed by employing an interesting connection between the specific class of classical string solutions and the band structure of the Lamé potential. This method is used for the construction of several families of classical string solutions, one of which turns out to be the spiky strings in AdS 3 . New solutions include circular rotating strings in AdS 3 with singular time evolution of their radius and angular velocity as well as classical string solutions in dS 3 .

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Section: Pohlmeyer Reduction Of Spiky Stringsmentioning

confidence: 96%

Section: Jhep07(2016)070mentioning

confidence: 99%

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On elliptic string solutions in AdS3 and dS3

Bakas

Pastras

2016

J. High Energ. Phys.

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“…While this work was being completed we learned about related work on the T-dual solutions of the spiky strings by A. Mosaffa and B. Safarzadeh [46].…”

Section: Note Addedmentioning

confidence: 99%

Single spike solutions for strings onS2andS3

2007

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We study solutions for rigidly rotating strings on a two sphere. Among them we find two limiting cases that have a particular interest, one is the already known giant magnon and the other we call the single spike solution. The limiting behavior of this last solution is a string infinitely wrapped around the equator. It differs from that solution by the existence of a single spike of heightθ that points toward the north pole. We study its properties and compute its energy E and angular momentum J as a function ofθ. We further generalize the solution by adding one angular momentum to obtain a solution on S 3 . We find a spin chain interpretation of these results in terms of free fermions and the Hubbard model but the exact relation with the same models derived from the field theory is not clear.

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“…The string length, L, is then determined from the Virasoro constraints, L = 4π √ α ′ ℓ 2 − α ′ . When ℓ ≫ 1, rest-frame vertex operators (1) are in oneto-one correspondence with classical string trajectories [8], Given a set of trajectories X = X L (z)+ X R (z), the distinct trajectories X ′ = X L (z)−X R (z −1 ) are also physical; we call the latter dual trajectories, obtained from (2) or (1) by (n, m; λ n ,λ m ) → (n, m; λ n ,λ * m ), see also [29,30]. To visualise some of the trajectories captured by, O(z,z), consider D = 4 and pick a coordinate system such that…”

mentioning

confidence: 99%