Three-point correlators: Examples from Lunin-Maldacena background

Arnaudov, D.; Rashkov, R. C.

doi:10.1103/physrevd.84.086009

Cited by 9 publications

(7 citation statements)

References 34 publications

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“…On the third place, we extended the infinite-size result of [27] and the finite-size result of [28], by considering j = 0.…”

Section: Discussionmentioning

confidence: 99%

“…On the third place, we extended the infinite-size result of [27] and the finite-size result of [28], by considering j = 0. Finally, we derived the finite-size effect on the normalized structure constant in the threepoint correlation function of two heavy giant magnon states and primary scalar operator on the γ-deformed AdS 5 × S 5 γ background.…”

Section: Discussionmentioning

confidence: 99%

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More three-point correlators of giant magnons with finite size

Bozhilov

2011

J. High Energ. Phys.

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In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a light state. This is done for the case when the heavy string states are finite-size giant magnons with one or two angular momenta, and for two different choices of the light state, corresponding to dilaton operator and primary scalar operator. The relevant operators in the dual gauge theory are Tr(F_{\mu\nu}^2 Z^j+...) and Tr(Z^j). We first consider the case of AdS_5 x S^5 and N = 4 super Yang-Mills. Then we extend the obtained results to the gamma-deformed AdS_5 x S^5_\gamma, dual to N = 1 super Yang-Mills theory, arising as an exactly marginal deformation of N = 4 super Yang-Mills.Comment: 14 pages, no figure

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“…On the third place, we extended the infinite-size result of [27] and the finite-size result of [28], by considering j = 0.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

More three-point correlators of giant magnons with finite size

Bozhilov

2011

J. High Energ. Phys.

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“…We will use the method developed by [8] for evaluating the three point function. There has been holographic computations of three point functions of a chiral primary with operators dual to large semi-classical strings in the Lunin-Maldacena background by [41,42]. The chiral primary involved was restricted to to be dual to the dilaton in these works 6 .…”

Section: Structure Constants From the Lunin-maldacena Backgroundmentioning

confidence: 99%

Structure constants of β deformed super Yang-Mills

David

Sadhukhan

2013

J. High Energ. Phys.

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We study the structure constants of the N = 1 beta deformed theory perturbatively and at strong coupling. We show that the planar one loop corrections to the structure constants of single trace gauge invariant operators in the scalar sector is determined by the anomalous dimension Hamiltonian. This result implies that 3 point functions of the chiral primaries of the theory do not receive corrections at one loop. We then study the structure constants at strong coupling using the Lunin-Maldacena geometry. We explicitly construct the supergravity mode dual to the chiral primary with three equal U(1) R-charges in the Lunin-Maldacena geometry. We show that the 3 point function of this supergravity mode with semi-classical states representing two other similar chiral primary states but with large U(1) charges to be independent of the beta deformation and identical to that found in the AdS 5 × S 5 geometry. This together with the one-loop result indicate that these structure constants are protected by a non-renormalization theorem. We also show that three point function of U(1) R-currents with classical massive strings is proportional to the R-charge carried by the string solution. This is in accordance with the prediction of the R-symmetry Ward identity.1 A perturbative study of BPS operators of this theory was also done in [29,30]. 12 . (5.4) Comparing (5.3) and (5.4) results in C J (λ) = − J 2π 2 . (5.5)This is an all-loop prediction for the structure constant C J (λ). In the next section we will verify this at strong coupling in the Lunin-Maldacena geometry. The method

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“…But the correlator can again be easily analyzed for small and large values of p. The small p limit is rather simple because in this case the correlation function vanishes and thus there is no coupling between a single circular Wilson loop with no angular momentum and one singlet scalar light operator. In the large p limit the correlator reduces to 20) and evaluating the integrals we now obtain…”

Section: Single Wilson Loop and One Local Operatormentioning

confidence: 99%

“…[6][7][8][9]. The extension to correlation functions with two complex conjugate heavy vertex operators and one light string state with fixed conserved charges was recently proposed in [10][11][12] and has been exhaustively analyzed for a large variety of heavy vertices and light string states [13][14][15][16][17][18][19][20]. 1 The idea is that in the saddle point approximation the leading contribution to the three-point function is coming just from the classical string configurations of the vertices with large quantum charges.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical correlation functions of Wilson loops and local vertex operators

Hernández

2012

Nuclear Physics B

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We analyze correlation functions of Wilson loop observables and local vertex operators within the strongcoupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved charges the correlation function can be evaluated in the semiclassical approximation of large string tension, where the contribution from the light vertex can be neglected. We consider the cases where the Wilson loops are described by two concentric surfaces and the local vertices are the superconformal chiral primary scalar or a singlet massive scalar operator.

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Three-point correlators: Examples from Lunin-Maldacena background

Cited by 9 publications

References 34 publications

More three-point correlators of giant magnons with finite size

More three-point correlators of giant magnons with finite size

Structure constants of β deformed super Yang-Mills

Semiclassical correlation functions of Wilson loops and local vertex operators

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