Spiky strings and single trace operators in gauge theories
By M. Kruczenski. 2004
257 citations recorded by the source corpus.
We consider single trace operators of the form l1...ln = Tr D+l1F...D+lnF which are common to all gauge theories. We argue that, when all li are equal and large, they have a dual description as strings with cusps, or spikes, one for each field F. In the case of = 4 SYM, we compute the energy as a function of angular momentum by finding the corresponding solutions in AdS5 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 l1...ln such that all li 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.
Subfields: Nuclear and High Energy Physics, Political Science and International Relations
View Paper: https://www.semanticscholar.org/paper/812672d14d71549a0de748df6fdd86bdb7cb8e73
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Citations in the corpus
- Spiky strings and giant magnons on S5 (2006, unknown): “The spiky solutions were originally constructed in [15] as describing strings rotating in AdS5 but here we are interested in generalizing their S 5 analog considered previously in [16].”
- On the rotating and oscillating strings in (AdS3 × S3)ϰ (2014, background): “3 Single Spike strings are a general class of solutions corresponding to the higher twist operators in gauge theory [27].”
- Finite-size effects from giant magnons (2006, methodology): “The resulting configuration was analyzed in [54], and is an S2-analogue of the AdS3 spiky strings studied in [53], and the energy of this closed string is again equal to the sum of energies of the N magnons.”
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, background): “Among other possible string-theory generalizations, let us mention the computation of 1-loop correction to the energy of long rotating strings with n spikes [35] (with small or large n > 2) and also the computation of 1-loop energy of strings with two spins (S1, S2) in AdS5 [43].”
- How higher-spin gravity surpasses the spin-two barrier (2010, background): “More generally, a key physical effect of having a negative cosmological constant is the formation of cusps on spiky closed strings [164, 165] (for generalizations to membranes, see [18]).”