Folded Three-Spin String Solutions inAdS5 S5

Ryang, Shijong

doi:10.1088/1126-6708/2004/04/053

Cited by 29 publications

(27 citation statements)

References 54 publications

(73 reference statements)

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“…In this case, the anomalous dimension on the gauge theory side universally behaves as ∆ − S ∼ cλ log S at one loop, where λ is the 't Hooft coupling and c is a constant [20][21][22][23]. On the string theory side, some classical solutions with this log S scaling are found [18,19,24,25] (see also [26]), but with different dependence on λ.…”

Section: Introductionmentioning

confidence: 96%

A large spin limit of strings on in a non-compact sector

Sakai

Satoh

2007

Physics Letters B

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We study the scaling law of the energy spectrum of classical strings on AdS 5 × S 5 , in particular, in the SL(2) sector for large S (AdS spin) and fixed J (S 1 ⊂ S 5 spin).For any finite gap solution, we identify the limit in which the energy exhibits the logarithmic scaling in S, characteristic to the anomalous dimension of low-twist gauge theory operators. Our result therefore shows that the log S scaling, first observed by Gubser, Klebanov and Polyakov for the folded string, is universal also on the string side, suggesting another interesting window to explore the AdS/CFT correspondence as in the BMN/Frolov-Tseytlin limit.

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Section: Introductionmentioning

confidence: 96%

A large spin limit of strings on in a non-compact sector

Sakai

Satoh

2007

Physics Letters B

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“…The pulsating strings in general correspond to the highly excited sigma model operators. In this connection a large number of rotating and pulsating string solutions have been studied in various string theory backgrounds, see for example, [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39]. Motivated by the recent surge of interest in the string spectrum of deformed AdS 5 × S 5 background that in general preserves the integrability, here we find a class of rotating and pulsating strings in this background [22].…”

Section: Introductionmentioning

confidence: 99%

On the rotating and oscillating strings in (AdS 3 × S 3) ϰ

Banerjee

Panigrahi

2014

J. High Energ. Phys.

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Abstract:We study rigidly rotating strings in the κ-deformed AdS 3 × S 3 background. We find out two classes of solutions corresponding to the giant magnon and single spike solutions of the string rotating in two S 2 κ subspace of rotations reduced along two different isometries. We verify that the dispersion relations reduce to the well known relation in the κ → 0 limit. We further study some oscillating string solutions in the S 3 κ subspace.

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“…It turned out that such action agrees with a particular limit of the sigma model action that describes the propagation of the strings in the bulk. This idea was extended to other sectors including fermions and open strings in [18,19,20,21,22,23,24,25,26,27,28] and to two loops in [29]. In [30,31] the relation to the Bethe ansatz approach was clarified.…”

Section: Introductionmentioning

confidence: 99%

Spiky strings and single trace operators in gauge theories

Kruczenski

2005

J. High Energy Phys.

190

352

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We consider single trace operators of the form O l 1 ...ln = TrD l 1 + F . . . D ln + F which are common to all gauge theories. We argue that, when all l i are equal and large, they have a dual description as strings with cusps, or spikes, one for each field F . In the case of N = 4 SYM, we compute the energy as a function of angular momentum by finding the corresponding solutions in AdS 5 and compare with a 1-loop calculation of the anomalous dimension. As in the case of two spikes (twist two operators), there is agreement in the functional form but not in the coupling constant dependence. After that, we analyze the system in more detail and find an effective classical mechanics describing the motion of the spikes. In the appropriate limit, it is the same (up to the coupling constant dependence) as the coherent state description of linear combinations of the operators O l 1 ...ln such that all l i are equal on average. This agreement provides a map between the operators in the boundary and the position of the spikes in the bulk. We further suggest that moving the spikes in other directions should describe operators with derivatives other than D + indicating that these ideas are quite generic and should help in unraveling the string description of the large-N limit of gauge theories.

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Folded Three-Spin String Solutions inAdS₅ S⁵

Cited by 29 publications

References 54 publications

A large spin limit of strings on in a non-compact sector

A large spin limit of strings on in a non-compact sector

On the rotating and oscillating strings in (AdS 3 × S 3) ϰ

Spiky strings and single trace operators in gauge theories

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