Anomalous dimensions of heavy operators from magnon energies

Koch, Robert de Mello; Tahiridimbisoa, Nirina Hasina; Mathwin, Christopher

doi:10.1007/jhep03(2016)156

Cited by 18 publications

(33 citation statements)

References 99 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For open strings attached to giant gravitons that are almost maximal, the dynamics is integrable at the leading order in the large N expansion. Open strings attached to either less than maximal giant gravitons or to dual giant gravitons do not lead to integrable dynamics [41].…”

Section: Correlation Functions Of Two Dual Giant Gravitons and A Singmentioning

confidence: 99%

Absorption of closed strings by giant gravitons

Chen

Koch

Kim

et al. 2019

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

A new approach to the computation of correlation functions involving two determinant operators as well as one non-protected single trace operator has recently been developed by Jiang, Komatsu and Vescovi. This correlation function provides the holographic description of the absorption of a closed string by a giant graviton. The analysis has a natural interpretation in the framework of group representation theory, which admits a generalization to general Schur polynomials and restricted Schur polynomials. This generalizes the holographic description to any giant or dual giant gravitons which carry more than one angular momentum on the sphere. For a restricted Schur polynomial labeled by a column with N boxes (dual to a maximal giant graviton) we find evidence in favor of integrability.

show abstract

Section: Correlation Functions Of Two Dual Giant Gravitons and A Singmentioning

confidence: 99%

Absorption of closed strings by giant gravitons

Chen

Koch

Kim

et al. 2019

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…This basis provides a very natural way to describe the operators dual to strings on LLM geometries. Explicitly these are dual [16][17][18][20][21][22][23]34,35] to restricted Schur polynomials labelled by Young diagrams that organise the fields making up the dual gauge invariant operator. These Young diagrams organise the O(N 2 ) fields dual to the bound state of D3-branes that backreact to form the background LLM geometry as well as the O( √ N ) fields that are dual to string excitations on the background.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical SL(2) strings on LLM backgrounds

Kim

Zyl

2018

Physics Letters B

View full text Add to dashboard Cite

We study semiclassical string solutions that live on white regions of the LLM plane for a generic LLM geometry. These string excitations are labelled by conserved charges E, J and S and are thus holographically dual to operators in the SL(2) sector of N = 4 super-Yang Mills made up of covariant derivatives acting on complex scalar fields Z. On the other hand, the LLM geometry itself is dual to an operator consisting of O(N 2 ) Z-fields so that the operators dual to our solutions, containing both the stringy excitation and background, are non-planar. In an appropriate short string limit we argue that the string solution we find should be dual to a localised SL(2) excitation in the gauge theory language. This allows us to perform a non-trivial check of the recent proposal that the dynamics of localised excitations should be identical, up to a rescaling of the 't Hooft coupling, to the dynamics of those same excitations in the AdS 5 × S 5 background.

show abstract

“…In both the open string description and in the more democratic description, there is a close connection [28] between the dynamics of the Y fields, and the LLM plane [29] description of giant magnon dynamics in the dual string theory [30,31,32]. In this study we are interested in the anomalous dimensions of gauge theory operators corresponding to restricted Schur polynomials that treat the fields democratically.…”

Section: Introductionmentioning

confidence: 99%

“…This corresponds to a dilute gas of magnons. The spectrum of anomalous dimensions has been computed to all loops at large N and to leading order in the small parameter m n [33,28]. This all loop answer is possible thanks to supersymmetry [34].…”

Section: Introductionmentioning

confidence: 99%

“…Finally, at the leading order in m n and at large N , the all loop dilatation operator factorizes into an action on the Y s times an action on the Zs. Although this factorization was only exhibited at one loop in [25] and at two loops in [35], the arguments of [33] as well as the form of the all loop anomalous dimension [34] implies that this factorization holds to all loops; see [28] for further discussion. The subleading term that we have evaluated does not factorize into an action on the Y s times an action on the Zs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Interacting double coset magnons

et al. 2016

Self Cite

View full text Add to dashboard Cite

We consider the anomalous dimensions of restricted Schur polynomials constructed using n ∼ O(N ) complex adjoint scalars Z and m complex adjoint scalars Y . We fix m n so that our operators are almost half BPS. At leading order in m n this system corresponds to a dilute gas of m free magnons. Adding the first correction of order m n to the anomalous dimension, which arises at two loops, we find non-zero magnon interactions. The form of this new operator mixing is studied in detail for a system of two giant gravitons with four strings attached.

show abstract

Anomalous dimensions of heavy operators from magnon energies

Cited by 18 publications

References 99 publications

Absorption of closed strings by giant gravitons

Absorption of closed strings by giant gravitons

Semiclassical SL(2) strings on LLM backgrounds

Interacting double coset magnons

Contact Info

Product

Resources

About