Semiclassical calculation of three-point functions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mi>P</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>

Arnaudov, D.; Rashkov, R. C.

doi:10.1103/physrevd.83.066011

Cited by 20 publications

(17 citation statements)

References 42 publications

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“…Finally the factor in the numerator takes into account the cyclic nature of the three operators. 5 In App. A we will make the arguments of the present section more precise.…”

Section: The Foda Approachmentioning

confidence: 99%

On three-point functions in the AdS4/CFT3 correspondence

Bissi

Kristjansen

Martirosyan

et al. 2013

J. High Energ. Phys.

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We calculate planar, tree-level, non-extremal three-point functions of operators belonging to the SU (2) × SU (2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the SU (2) sector of N = 4 SYM, to the present case and find that, up to normalization factors, the ABJM result factorizes into a product of two N = 4 SYM correlation functions. Secondly, we treat the case where two operators are heavy and one is light and BPS, using a coherent state description of the heavy ones. We show that when normalized by the three-point function of three BPS operators the heavy-heavy-light correlation function agrees, in the Frolov-Tseytlin limit, with its string theory counterpart which we calculate holographically.

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“…Finally the factor in the numerator takes into account the cyclic nature of the three operators. 5 In App. A we will make the arguments of the present section more precise.…”

Section: The Foda Approachmentioning

confidence: 99%

On three-point functions in the AdS4/CFT3 correspondence

Bissi

Kristjansen

Martirosyan

et al. 2013

J. High Energ. Phys.

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“…In order to find it one has to solve a set of equations {(50),(47),(49)}, which again can not be done algebraically. The same argumentation applies to the three-point function (29) where one has to find the ratio ω/κ , which can not be done explicitly. The difference in the 2-point and the 3-point function between the folded and the circular single spin string is in the relation between κ and ω (47) and the J A charge (49).…”

Section: Single Spin Casementioning

confidence: 99%

“…It is the same as having the dispersion relation, which however can not be solved algebraically in this case. A similar argument applies for the three-point function (29), where in order to express it with charges and constants only, one needs to find the relation for ω/κ. It again involves transcendental equation and therefore can not be obtained explicitly.…”

Section: Single Spin Casementioning

confidence: 99%

ON SEMICLASSICAL CALCULATION OF THREE-POINT FUNCTIONS IN AdS₅×T^{1, 1}

2012

Self Cite

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Recently there has been progress on the computation of two-and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS5 × T 1,1 , and examine the suggested procedure for the case of several simple string solutions. By making use of AdS/CFT duality, we derive the relevant correlation functions of operators belonging to the dual gauge theory.

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“…[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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Semiclassical calculation of three-point functions inAdS4×CP3

Cited by 20 publications

References 42 publications

On three-point functions in the AdS4/CFT3 correspondence

On three-point functions in the AdS4/CFT3 correspondence

ON SEMICLASSICAL CALCULATION OF THREE-POINT FUNCTIONS IN AdS₅×T^{1, 1}

Semiclassical correlation functions of Wilson loops and local vertex operators

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Semiclassical calculation of three-point functions inAdS4×CP3

Cited by 20 publications

References 42 publications

On three-point functions in the AdS4/CFT3 correspondence

On three-point functions in the AdS4/CFT3 correspondence

ON SEMICLASSICAL CALCULATION OF THREE-POINT FUNCTIONS IN AdS5×T1, 1

Semiclassical correlation functions of Wilson loops and local vertex operators

Contact Info

Product

Resources

About

ON SEMICLASSICAL CALCULATION OF THREE-POINT FUNCTIONS IN AdS₅×T^{1, 1}