A study of open strings ending on giant gravitons, spin chains and integrability

Berenstein, David; Correa, Diego H.; Vázquez, Samuel E.

doi:10.1088/1126-6708/2006/09/065

Cited by 84 publications

(144 citation statements)

References 63 publications

(116 reference statements)

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“…This idea was first applied in [47] to reproduce the spectrum of small fluctuations of giant gravitons [48]. The description was then further developed in [49][50][51][52][53]. The articles [51][52][53] in particular JHEP03(2016)156 developed this description to the point where interesting dynamical questions 1 could be asked and answered.…”

Section: Giants With Open Strings Attachedmentioning

confidence: 99%

“…The description was then further developed in [49][50][51][52][53]. The articles [51][52][53] in particular JHEP03(2016)156 developed this description to the point where interesting dynamical questions 1 could be asked and answered. The open string words are then inserted into a sea of Zs which make up the giant graviton brane(s).…”

Section: Giants With Open Strings Attachedmentioning

confidence: 99%

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Anomalous dimensions of heavy operators from magnon energies

Koch

Tahiridimbisoa

Mathwin

2016

J. High Energ. Phys.

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Abstract:We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. Motivated by a geometrical interpretation of the central charges of su(2|2), we propose a simple and minimal all loop expression that interpolates between the anomalous dimensions computed in the gauge theory and energies computed in the dual string theory. The discussion makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language.

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Section: Giants With Open Strings Attachedmentioning

confidence: 99%

Section: Giants With Open Strings Attachedmentioning

confidence: 99%

Anomalous dimensions of heavy operators from magnon energies

Koch

Tahiridimbisoa

Mathwin

2016

J. High Energ. Phys.

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“…But one can define also other kinds of open strings, in particular ones that extend between D-branes. In the context of N = 4 SYM, these have been studied in [10][11][12]. D-branes wrapping some cycles in the gravity dual, with some angular momentum, are usually giant gravitons, i.e.…”

Section: Jhep06(2015)016mentioning

confidence: 99%

Open strings on D-branes from ABJM

Năstase

2015

J. High Energ. Phys.

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Abstract:We study open strings on giant gravitons (D-branes on cycles) in the ABJM/AdS 4 × CP 3 correspondence. We find that their energy spectrum has the same form as the one for closed strings, with a nontrivial function of the coupling, avoiding BMN scaling. A similar, Cuntz oscillator, Hamiltonian description for the string (operators at strong coupling) to the AdS 5 case is valid also in this case.

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“…The corresponding spin chains with boundaries in N = 4 SYM have been studied in [58,59,60,61]. It was found there that these spin chains usually do not preserve the length of the spin chain [59] and that their spectrum of excitations is continuous in the large N limit.…”

Section: Free Field Description Of Bps Local Operators Giant Gramentioning

confidence: 99%

Three-dimensionalN=6superconformal field theories and their membrane dynamics

2008

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We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be extracted from the analysis of the field theory. We revisit the calculations of the moduli space of vacua and the complete characterization of chiral ring operators by analyzing the field theory compactified on a 2-sphere. We show that many of the states dual to these operators can be interpreted as D-brane states in the weak coupling limit.Also, various features of the dual AdS geometry can be obtained by performing a strong coupling expansion around moduli space configurations, even though one is not taking the planar expansion. In particular, we show that at strong coupling the corresponding weak coupling D-brane states of the chiral ring localize on particular submanifolds of the dual geometry that match the M-theory interpretation. We also study the massive spectrum of fields in the moduli space. We use this to investigate the dispersion relation of giant magnons from the field theory point of view. Our analysis predicts the exact functional form of the dispersion relation as a function of the world-sheet momentum, independently of integrability assumptions, but not the exact form with respect to the 't Hooft coupling. We also get the dispersion relation of bound states of giant magnons from first principles, providing evidence for the full integrability of the corresponding spin chain model at strong 't Hooft coupling.

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A study of open strings ending on giant gravitons, spin chains and integrability

Cited by 84 publications

References 63 publications

Anomalous dimensions of heavy operators from magnon energies

Anomalous dimensions of heavy operators from magnon energies

Open strings on D-branes from ABJM

Three-dimensionalN=6superconformal field theories and their membrane dynamics

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