Ambitwistor string vertex operators on curved backgrounds

Adamo, Tim; Casali, Eduardo; Nekovar, Stefan

doi:10.1007/jhep01(2019)213

Cited by 18 publications

(18 citation statements)

References 25 publications

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“…The final term is simply a delta function imposing momentum conservation, which, foreshadowing the results of this paper, we suggestively wrote as a trivial integral of n plane waves interacting at a single point x in (d+1)-dimensional Minkowski space. Recent years have seen a surge of interest in further extending the ambitwistor formulation to curved spaces, in particular to plane wave backgrounds [20][21][22][23] (see also [24][25][26][27] for twistor models). It then seems rather prudent to ask: what about one of the simplest curved backgrounds of physical interest, the anti-de Sitter (AdS) space?…”

Section: Jhep11(2020)158mentioning

confidence: 99%

Scattering equations in AdS: scalar correlators in arbitrary dimensions

Eberhardt

Komatsu

Mizera

2020

J. High Energ. Phys.

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We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT operators in arbitrary space-time dimensions. The resulting construction can be treated as a natural extension of the CHY formalism for the flat-space S-matrix, as it similarly expresses tree-level amplitudes in AdS as integrals over the moduli space of Riemann spheres with punctures. These integrals localize on an operator-valued version of scattering equations, which we derive directly from the ambitwistor string action on a coset manifold. As a testing ground for this formalism we focus on the simplest case of ambitwistor string coupled to two cur- rent algebras, which gives bi-adjoint scalar correlators in AdS. In order to evaluate them directly, we make use of a series of contour deformations on the moduli space of punctured Riemann spheres and check that the result agrees with tree level Witten diagram computations to all multiplicity. We also initiate the study of eigenfunctions of scattering equations in AdS, which interpolate between conformal partial waves in different OPE channels, and point out a connection to an elliptic deformation of the Calogero-Sutherland model.

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Section: Jhep11(2020)158mentioning

confidence: 99%

Scattering equations in AdS: scalar correlators in arbitrary dimensions

Eberhardt

Komatsu

Mizera

2020

J. High Energ. Phys.

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“…The key tool which enables these calculations is ambitwistor string theory, a class of chiral, constrained worldsheet models which describe massless QFTs [27]. Ambitwistor strings underpin the scattering equations and Cachazo-He-Yuan (CHY) formulae [28,29] for massless scattering in the momentum basis [27,30,31], but they also encode the full non-linearity of the underlying classical equations of motion [32,33] and their spectrum always imposes the free equations of motion [34,35]. Thus, they can equally well describe scattering in the conformal basis, leading to CHY formulae for celestial scattering amplitudes.…”

Section: Introductionmentioning

confidence: 99%

Celestial amplitudes and conformal soft theorems

Adamo¹,

Mason²,

Sharma³

2019

Class. Quantum Grav.

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147

157

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Scattering amplitudes in d + 2 dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial d-sphere. We explain how compact expressions for the full tree-level S-matrix of gauge theory, gravity and other QFTs extend to this conformal basis, and are easily derived from ambitwistor strings. Using these formulae and their worldsheet origins, we prove various tree-level 'conformal soft theorems' in gauge theory and gravity in any dimension; these arise from limits where the scaling dimension of an external state in the scattering process takes special values. These conformally soft limits are obscure from standard methods, but they are easily derived with ambitwistor strings. Additionally, we make an identification between the residues of conformally soft vertex operator insertions in ambitwistor strings and charges generating asymptotic symmetries.

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“…The most important of these is the emergence of the CHY representation of amplitudes [57,58] and its realization as a string theory in ambi twistor space [59]. The ambitwistor string appears to be a more flexible framework JHEP04(2020)047 than that presented here, in particular for amplitudes in various theories [60,61] in various dimensions, loop-level amplitudes [62-64, 66, 67] and for describing amplitudes on curved backgrounds [68,69]. (For progress on higher genus twistor strings, see [70].)…”

Section: Jhep04(2020)047mentioning

confidence: 93%

Twistor strings for $$ \mathcal{N} $$ = 8 supergravity

Skinner

2020

J. High Energ. Phys.

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This paper presents a worldsheet theory describing holomorphic maps to twistor space with N fermionic directions. The theory is anomaly free when N = 8. Via the Penrose transform, the vertex operators correspond to an N = 8 Einstein supergravity multiplet. In the first instance, the theory describes gauged supergravity in AdS 4. Upon taking the flat space, ungauged limit, the complete classical S-matrix is recovered from worldsheet correlation functions.

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Ambitwistor string vertex operators on curved backgrounds

Cited by 18 publications

References 25 publications

Scattering equations in AdS: scalar correlators in arbitrary dimensions

Scattering equations in AdS: scalar correlators in arbitrary dimensions

Celestial amplitudes and conformal soft theorems

Twistor strings for $$ \mathcal{N} $$ = 8 supergravity

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