Wrapping corrections for non-diagonal boundaries in AdS/CFT

Bajnok, Zoltán; Nepomechie, Rafael I.

doi:10.1007/jhep02(2016)024

Cited by 4 publications

(5 citation statements)

References 33 publications

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“…By contrast, the analysis of determinant operators is much less developed. The spectrum of small deformations of determinant operators was analyzed using various approaches [6][7][8][9][10][11][12][13][14][15][16][17][18][19] including integrability [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. However, not much work has been done on correlation functions 3 except in the protected BPS sector [37][38][39] and in the free field limit, where various interesting structures were found using algebraic [40], combinatorial [41][42][43] and coherent state [44] approaches.…”

Section: Jhep07(2020)037mentioning

confidence: 99%

Structure constants in $$ \mathcal{N} $$ = 4 SYM at finite coupling as worldsheet g-function

Jiang

Komatsu

Vescovi

2020

J. High Energ. Phys.

173

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We develop a novel nonperturbative approach to a class of three-point functions in planar N = 4 SYM based on Thermodynamic Bethe Ansatz (TBA). More specifically, we study three-point functions of a non-BPS single-trace operator and two determinant operators dual to maximal Giant Graviton D-branes in AdS 5 ×S 5. They correspond to disk one-point functions on the worldsheet and admit a simpler and more powerful integrability description than the standard single-trace three-point functions. We first introduce two new methods to efficiently compute such correlators at weak coupling; one based on large N collective fields, which provides an example of open-closed-open duality discussed by Gopakumar, and the other based on combinatorics. The results so obtained exhibit a simple determinant structure and indicate that the correlator can be interpreted as a generalization of g-functions in 2d QFT; an overlap between an integrable boundary state and a state corresponding to the single-trace operator. We then determine the boundary state at finite coupling using the symmetry, the crossing equation and the boundary Yang-Baxter equation. With the resulting boundary state, we derive the ground-state g-function based on TBA and conjecture its generalization to other states. This is the first fully nonperturbative proposal for the structure constants of operators of finite length. The results are tested extensively at weak and strong couplings. Finally, we point out that determinant operators can provide better probes of sub-AdS locality than single-trace operators and discuss possible applications.

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Section: Jhep07(2020)037mentioning

confidence: 99%

Structure constants in $$ \mathcal{N} $$ = 4 SYM at finite coupling as worldsheet g-function

Jiang

Komatsu

Vescovi

2020

J. High Energ. Phys.

173

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“…(5.25) 33 Written explicitly, ∂ u p(u) = −1/(u 2 + 1/4). 34 Note that we have different normalizations for G SU(2) ± as compared to G ± in [89]. The ones in [89] are normalized in the momentum basis whereas ours are normalized in the rapidity basis.…”

Section: Matrix Trace and Matrix Product Statementioning

confidence: 99%

“…By contrast, the analysis of determinant operators is much less developed. The spectrum of small deformations of determinant operators was analyzed using various approaches [6][7][8][9][10][11][12][13][14][15][16][17][18][19] including integrability [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. However, not much work has been done on correlation functions except in the protected BPS sector [35][36][37] and in the free field limit, where various interesting structures were found using algebraic [38], combinatorial [39][40][41] and coherent state [42] approaches.…”

mentioning

confidence: 99%

Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function

Jiang,

Komatsu,

Vescovi

2019

Preprint

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We develop a novel nonperturbative approach to a class of three-point functions in planar N = 4 SYM based on Thermodynamic Bethe Ansatz (TBA). More specifically, we study three-point functions of a non-BPS single-trace operator and two determinant operators dual to maximal Giant Graviton D-branes in AdS 5 ×S 5 . They correspond to disk one-point functions on the worldsheet and admit a simpler and more powerful integrability description than the standard single-trace three-point functions. We first introduce two new methods to efficiently compute such correlators at weak coupling; one based on large N collective fields, which provides an example of open-closed-open duality discussed by Gopakumar, and the other based on combinatorics. The results so obtained exhibit a simple determinant structure and indicate that the correlator can be interpreted as a generalization of g-functions in 2d QFT; an overlap between an integrable boundary state and a state corresponding to the single-trace operator. We then determine the boundary state at finite coupling using the symmetry, the crossing equation and the boundary Yang-Baxter equation. With the resulting boundary state, we derive the ground-state g-function based on TBA and conjecture its generalization to other states. This is the first fully nonperturbative proposal for the structure constants of operators of finite length. The results are tested extensively at weak and strong couplings. Finally, we point out that determinant operators can provide better probes of sub-AdS locality than single-trace operators and discuss possible applications.

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“…As this is yet another set of nontrivial asymptotics in the QSC, it is clearly an important question how to classify all possible types of asymptotics. They should correspond to some kind of deformations and boundary problems for local or nonlocal observables likely including the setups studied in [28,29]. Consistency of asymptotics with the functional QSC equations appears to be a highly nontrivial constraint giving hope for an exhaustive description.…”

Section: Jhep12(2016)122mentioning

confidence: 99%

Quark-anti-quark potential in N $$ \mathcal{N} $$ = 4 SYM

Gromov

Levkovich-Maslyuk

2016

J. High Energ. Phys.

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We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar N = 4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion.Moreover, we study analytically the generalized quark-anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.

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Wrapping corrections for non-diagonal boundaries in AdS/CFT

Cited by 4 publications

References 33 publications

Structure constants in $$ \mathcal{N} $$ = 4 SYM at finite coupling as worldsheet g-function

Structure constants in $$ \mathcal{N} $$ = 4 SYM at finite coupling as worldsheet g-function

Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function

Quark-anti-quark potential in N $$ \mathcal{N} $$ = 4 SYM

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