BCJ relations in ${AdS}_5 \times S^3$ and the double-trace spectrum of super gluons

Drummond, J. M.; R., Glew,; Santagata, M.

doi:10.48550/arxiv.2202.09837

Cited by 18 publications

(36 citation statements)

References 51 publications

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“…In-in correlators [13] can then be computed by squaring of the wavefunction and computing expectation values [7]. Recent developments in this direction include geometric approaches [14,15], methods based on factorisation [16][17][18][19][20] and unitarity [21][22][23][24][25][26][27][28], Mellin-Barnes representations [29,30], color/kinematics duality [31][32][33][34][35][36][37][38], the double copy [39][40][41][42], and the cosmological scattering equations (CSE) [43,44]. See also [45][46][47][48] for other recent work adapting amplitude ideas to (A)dS correlators.…”

Section: Introductionmentioning

confidence: 99%

Effective field theories and cosmological scattering equations

Armstrong

Gomez

Jusinskas

et al. 2022

J. High Energ. Phys.

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We propose worldsheet formulae for wavefunction coefficients of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and special Galileon (sGal) theories in de Sitter momentum space in terms of the recently proposed cosmological scattering equations constructed from conformal generators in the future boundary. The four-point integrands are assembled from simple building blocks and we identify a double copy prescription mapping the NLSM wavefunction coefficient to the DBI and sGal wavefunction coefficients, including mass deformations and curvature corrections. Finally, we compute the soft limits of these wavefunction coefficients and find that they can be written in terms of boundary conformal generators acting on contact diagrams.

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Section: Introductionmentioning

confidence: 99%

Effective field theories and cosmological scattering equations

Armstrong

Gomez

Jusinskas

et al. 2022

J. High Energ. Phys.

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“…from the expected behaviour of the amplitude when the charges p are taken to be large. The large p limit is well established in various AdS × S backgrounds [39,40]. In the case we are interested in, the crucial observation is that, in the large p limit, the AdS 5 × S 5 Mellin amplitude asymptotes the flat space amplitude of IIB supergravity, where s is identified with the corresponding ten-dimensional Mandelstam invariant of the flat space amplitude.…”

Section: A Tree Level Primermentioning

confidence: 95%

One-loop string amplitudes in AdS$_5\times$S$^5$: Mellin space and sphere splitting

Aprile¹,

Drummond²,

R.³

et al. 2022

Preprint

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We study string corrections to one-loop amplitudes of single-particle operators O p in AdS 5 × S 5 . The tree-level correlators in supergravity enjoy an accidental 10d conformal symmetry. Consequently, one observes a partial degeneracy in the spectrum of anomalous dimensions of double-trace operators and at the same time equality of many different correlators for different external charges p i=1,2,3,4 . The one-loop contribution is expected to lift such bonus properties, and its precise form can be predicted from tree-level data and consistency with the operator product expansion.Here we present a closed-form Mellin space formula for O p 1 O p 2 O p 3 O p 4 at order (α ′ ) 3 , valid for arbitrary external charges p i . Our formula makes explicit the lifting of the bonus degeneracy among different correlators through a feature we refer to as 'sphere splitting'. While tree-level Mellin amplitudes come with a single crossing symmetric kernel, which defines the pole structure of the AdS 5 × S 5 amplitude, our one-loop amplitude naturally splits the S 5 part into two separate contributions. The amplitude also exhibits a remarkable consistency with the corresponding flat space IIB amplitude through the large p limit.1 The full normalisation is R p = p 2 (p − 1)

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“…The one of order eight first appeared in [16]. Later they were observed to be relevant for a, still conjectural, hidden conformal symmetry in N = 4 SYM [17] and also in these N = 2 theories [18]. 2 Another interesting fact about them is that they are Casimir operators for the u-channel OPE (when the four-point function is expressed as above).…”

Section: Jhep01(2023)021mentioning

confidence: 98%

“…The only possible choice is p = 2. 18 In this case, since the h i 's are null, they span a one-dimensional space…”

Section: Orthogonal Configurationmentioning

confidence: 99%

Spinning correlators in $$ \mathcal{N} $$ = 2 SCFTs: Superspace and AdS amplitudes

Bissi

Fardelli

Manenti

et al. 2023

J. High Energ. Phys.

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We study four-point functions of spinning operators in the flavor current multiplet in four dimensional $$ \mathcal{N} $$ N = 2 SCFTs, using superspace techniques. In particular we explicitly construct the differential operators relating the different components of the super-correlator. As a byproduct of our analysis, we report the computation of the four-point amplitudes of gluons in bosonic Yang-Mills theories on AdS5 and we give evidence of an AdS double copy relation between the gluon amplitude and its gravitational counterpart.

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BCJ relations in ${AdS}_5 \times S^3$ and the double-trace spectrum of super gluons

Cited by 18 publications

References 51 publications

Effective field theories and cosmological scattering equations

Effective field theories and cosmological scattering equations

One-loop string amplitudes in AdS$_5\times$S$^5$: Mellin space and sphere splitting

Spinning correlators in $$ \mathcal{N} $$ = 2 SCFTs: Superspace and AdS amplitudes

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