Spiky strings and the AdS/CFT correspondence

Losi, Manuel

doi:10.48550/arxiv.1109.5401

Cited by 4 publications

(6 citation statements)

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“…The symmetric spiky string solution has ´ÒÄ Ò Ê µ ´½ Ò ½µ while the Ñ-folded string has ´ÒÄ Ò Ê µ ´Ñ Ñµ. The ´ÒÄ Ò Ê µ solution in Ë ¢ Ë describes a generalised symmetric spiky string with a possible Ë ¿ winding discussed in [18] (see also Section (5.1.3) in [23]). The corresponding expression for the one-loop corrected energy is the following generalization of both (1.8),(1.9) and (1.10),(1.11)…”

Section: ×ô ý ´ò ¾µ óð ´ñ ½µmentioning

confidence: 99%

Leading quantum correction to energy of ‘short’ spiky strings

Beccaria¹,

Ratti²,

Tseytlin³

2012

J. Phys. A: Math. Theor.

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We consider semiclassical quantization of spiky strings spinning in Ë ¿ part of Ë ¢ Ë using integrability-based (algebraic curve) method. In the "short string" (small spin) limit the expansion of string energy starts with its flat-space expression. We compute the leading quantum string correction to "short" spiky string energy and find the explicit form of the corresponding 1-loop coefficient ¼½ . It turns out to be rational and expressed in terms of the harmonic sums as functions of the number Ò of spikes. In the special case of Ò ¾ when the spiky string reduces to the single-folded spinning string the coefficient ¼½ takes the value ( ½ ) found in arXiv:1102.1040. We also consider a similar computation for the Ñ-folded string and more general spiky string with an extra "winding" number, finding similar expressions for ¼½ . These results may be useful for a description of energies of higher excited states in the quantum Ë ¢Ë string spectrum, generalizing earlier discussions of the string counterparts of the Konishi operator.

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Section: ×ô ý ´ò ¾µ óð ´ñ ½µmentioning

confidence: 99%

Leading quantum correction to energy of ‘short’ spiky strings

Beccaria¹,

Ratti²,

Tseytlin³

2012

J. Phys. A: Math. Theor.

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“…Following [10,11], we will take the pp-wave limit. First we perform the coordinate transformation in (95) and (96)…”

Section: Pp-wave Limitmentioning

confidence: 99%

Spin chains and classical strings in two parameters q-deformed AdS3 × S3

Wen

Kawamoto

2020

Chinese Journal of Physics

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In this paper, we study the spin chain and string excitation in the two-parameters qdeformed AdS 3 ×S 3 proposed by Hoare [4]. We obtain the deformed spin chain model at the fast spin limit for choices of deformed parameters. General ansatz for giant magnons are studied in great detail and complicated dispersion relation is treated perturbatively. We also study several types of hanging string solutions and their charges and spins are analyzed numerically. At last, we explore its pp-wave limit and find its solution only depends on the difference of deformed parameters.

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“…From this equation we find that S ≫ χ. Comparing an expansion of the energy (20) with (37), and using (19), we obtain the relation…”

Section: B Long String Limitmentioning

confidence: 99%

“…In this section, we consider a spiky string solution on a pp-wave limit of the β-deformed AdS 3 background, in which we especially see the region of ρ → ∞ and θ → t. Following [19], we start with the β-AdS 3 part in the metric (1), and consider the following reparametrization,…”

Section: Pp-wave Limitmentioning

confidence: 99%

Spin chains and classical strings in rotating Rindler-AdS space

Dai

Kuwakino

Wen

2014

J. High Energ. Phys.

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Abstract:In this paper, we study the spin chain and string excitation in the rotating Rindler-AdS 3 proposed in [14]. We obtain a one-parameter deformed SL(2) spin chain at the fast spin limit. Two-spin GKP-like solutions are studied at short and long string limits. General ansatz for giant magnons and spiky strings are analyzed in detail for various β. At last, we explore its counterpart in analytic continuation and pp-wave limit.

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Spiky strings and the AdS/CFT correspondence

Cited by 4 publications

References 0 publications

Leading quantum correction to energy of ‘short’ spiky strings

Leading quantum correction to energy of ‘short’ spiky strings

Spin chains and classical strings in two parameters q-deformed AdS3 × S3

Spin chains and classical strings in rotating Rindler-AdS space

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