Holographic correlators in AdS3 without Witten diagrams

Giusto, Stefano; Russo, Rodolfo; Tyukov, Alexander; Wen, Congkao

doi:10.1007/jhep09(2019)030

Cited by 60 publications

(92 citation statements)

References 33 publications

(70 reference statements)

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“…Finally, it has been found recently that the 6D tree-level supergravity amplitudes have important implications for the correlation functions in AdS 3 × S 3 [34,35] (see [36,37] for applications of tree-level amplitudes in 10D supergravity to the correlators in AdS 5 × S 5 ). It would be very interesting if any of the new structures of 6D superamplitudes discussed in this paper could be applied to holographic correlators in AdS 3 × S 3 .…”

Section: Resultsmentioning

confidence: 99%

Unified formalism for 6D superamplitudes based on a symplectic Grassmannian

Schwarz

Wen

2019

J. High Energ. Phys.

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Recently, twistor-like formulations of tree amplitudes involving n massless particles have been proposed for various 6D supersymmetric theories. The formulas are based on two different forms of the scattering equations: one based on rational maps and the other based on polarized scattering equations. We show that both formulations can be interpreted in terms of a symplectic (or complex Lagrangian) Grassmannian, LG(n, 2n), and that they correspond to different ways of fixing the GL(n, C) symmetry of LG(n, 2n). This provides an understanding of the equivalence of these different-looking formulas, and it leads to new twistor-like formulas for 6D superamplitudes.

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Section: Resultsmentioning

confidence: 99%

Unified formalism for 6D superamplitudes based on a symplectic Grassmannian

Schwarz

Wen

2019

J. High Energ. Phys.

Self Cite

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“…Under this transformation, the spinors in the first line of (B.3) get interchanged and so do the spinors on the bottom line. Thus, parity acts 26 Hence the effect of parity is to swap all angle brackets with square brackets and vice versa, while leaving all coefficients unchanged. For instance, P(c 12 ) = c [12] for any constant c.…”

Section: Jhep01(2020)034 B2 Discrete Symmetries For Scattering Amplimentioning

confidence: 99%

“…These consistency conditions include crossing symmetry, the analytic properties of the correlators in Mellin space, and supersymmetry. In particular, for tree level Witten diagrams with supergravity and/or higher derivative vertices in 2d [26][27][28], 3d [22][23][24], 4d [19][20][21], 5d [29], and 6d [18,25] maximally supersymmetric theories, these consistency conditions determine the Witten diagrams contributing to the 4-point functions 1 of 1/2-BPS operators up to a finite number of coefficients. For low orders in the derivative expansion, one can further determine these coefficients using other methods, such as supersymmetric localization [31,32] or the relation between the Mellin amplitudes and flat space scattering amplitudes in 10d or 11d [33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

AdS4/CFT3 from weak to strong string coupling

2020

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We consider the four-point function of operators in the stress tensor multiplet of the U(N) k × U(N) −k ABJM theory, in the limit where N is taken to infinity while N/k 5 is held fixed. In this limit, ABJM theory is holographically dual to type IIA string theory on AdS 4 × CP 3 at finite string coupling g s ∼ (N/k 5) 1/4. While at leading order in 1/N , the stress tensor multiplet four-point function can be computed from type IIA supergravity, in this work we focus on the first subleading correction, which comes from tree level Witten diagrams with an R 4 interaction vertex. Using superconformal Ward identities, bulk locality, and the mass deformed sphere free energy previously computed to all orders in 1/N from supersymmetric localization, we determine this R 4 correction as a function of N/k 5. Taking its flat space limit, we recover the known R 4 contribution to the type IIA S-matrix and reproduce the fact that it only receives perturbative contributions in g s from genus zero and genus one string worldsheets. This is the first check of AdS/CFT at finite g s for local operators. Our result for the four-point correlator interpolates between the large N , large 't Hooft coupling limit and the large N finite k limit. From the bulk perspective, this is an interpolation between type IIA string theory on AdS 4 × CP 3 at small string coupling and M-theory on AdS 4 × S 7 /Z k .

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“…While the AdS 5 × S 5 background has attracted most attention, many interesting results have been obtained for other string theory/M-theory backgrounds as well. See [18][19][20][21][22][23][24][25][26][27][28][29] for some recent developments.…”

Section: Jhep10(2019)247mentioning

confidence: 99%

20′ five-point function from AdS5× S5 supergravity

Gonçalves¹,

Pereira²,

Zhou³

2019

J. High Energ. Phys.

131

155

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We develop new techniques to compute five-point correlation functions from IIB supergravity on AdS 5 × S 5. Our methods rely entirely on symmetry and general consistency conditions, and eschew detailed knowledge of the supergravity effective action. We demonstrate our methods by computing the five-point function of the 20 operator, which is the superconformal primary of the stress tensor multiplet. We also develop systematic methods to compute the five-point conformal blocks in series expansions. Using the explicit expressions of the conformal blocks, we perform a Euclidean OPE analysis of the 20 five-point function. We find expected agreement with non-renormalized quantities and also extract new CFT data at strong coupling.

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Holographic correlators in AdS3 without Witten diagrams

Cited by 60 publications

References 33 publications

Unified formalism for 6D superamplitudes based on a symplectic Grassmannian

Unified formalism for 6D superamplitudes based on a symplectic Grassmannian

AdS4/CFT3 from weak to strong string coupling

20′ five-point function from AdS5× S5 supergravity

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