A Note on Spin Chain/String Duality

Dimov, H.; Rashkov, R. C.

doi:10.1142/s0217751x05020975

Cited by 37 publications

(35 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Spiky strings and single trace operators in gauge theories

Kruczenski

2005

J. High Energy Phys.

190

352

View full text Add to dashboard Cite

show abstract

“…Minahan and Zarembo proposed a remarkable solution to this problem [12] by relating the Hamiltonian of the Heisenberg spin chain with the dilatation operator of N = 4 SYM. On other hand, in several papers the relation between strings and spin chains was established, see for instance [16], [17], [18], [19] and references therein. This idea opened the way for a remarkable interplay between spin chains, gauge theories, string theory 2 and integrability (the integrability of classical strings on AdS 5 × S 5 was proven in [21]).…”

Section: Introductionmentioning

confidence: 99%

Multispin giant magnons

Bobev

Rashkov

2006

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate new magnon excitations of a spin chain which are dual to a string on R × S 5 with two nonvanishing angular momenta. Allowing string dynamics along the third angle in the five sphere, we find a dispersion relation that reproduces the Hofman and Maldacena one and the one found by Dorey for the two spin case. In the second part of the paper we generalize the two "spin" giant magnon to the case of β-deformed AdS 5 × S 5 background. We find agreement between the dispersion relation of the rotating string and the proposed dispersion relation of the magnon bound state on the spin chain.

show abstract

“…These kind of solutions were first demonstrated in [31] and were further detailed in [41,55]. We vary the sigma model (2.17) w.r.t.…”

Section: Circular String Solutionsmentioning

confidence: 91%

Fast spinning strings on η deformed AdS5 × S5

Banerjee

Bhattacharyya

Roychowdhury

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

In this paper, considering the correspondence between spin chains and string sigma models, we explore the rotating string solutions over η deformed AdS 5 × S 5 in the so-called fast spinning limit. In our analysis, we focus only on the bosonic part of the full superstring action and compute the relevant limits on both (R × S 3 ) η and (R × S 5 ) η models. The resulting system reveals that in the fast spinning limit, the sigma model on η deformed S 5 could be approximately thought of as the continuum limit of anisotropic SU(3) Heisenberg spin chain model. We compute the energy for a certain class of spinning strings in deformed S 5 and we show that this energy can be mapped to that of a similar spinning string in the purely imaginary β deformed background.

show abstract

A Note on Spin Chain/String Duality

Cited by 37 publications

References 14 publications

Spiky strings and single trace operators in gauge theories

Spiky strings and single trace operators in gauge theories

Multispin giant magnons

Fast spinning strings on η deformed AdS5 × S5

Contact Info

Product

Resources

About