Ambitwistor formulations of \(R^2\) gravity and \((DF)^{2}\) gauge theories

DOI10.1007/JHEP11(2017)052zbMath1383.83085arXiv1707.02192MaRDI QIDQ1706863

Oluf Tang Engelund, Thales Azevedo

Publication date: 28 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02192

zbMATH Keywords

conformal field theoryscattering amplitudesEinstein gravity\(R^2\) gravity

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Yang-Mills and other gauge theories in quantum field theory (81T13) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) (2)-body potential quantum scattering theory (81U05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (24)

Heterotic and bosonic string amplitudes via field theory ⋮ Two-loop scattering amplitudes from ambitwistor strings: from genus two to the nodal Riemann sphere ⋮ Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators ⋮ Efficient calculation of crossing symmetric BCJ tree numerators ⋮ Are all supergravity theories Yang-Mills squared? ⋮ Scattering of conformal higher spin fields ⋮ New worldsheet formulae for conformal supergravity amplitudes ⋮ Supertwistor description of ambitwistor strings ⋮ Bosonic sectorized strings and the \( (DF)^2\) theory ⋮ One-loop diagrams with quadratic propagators from the worldsheet ⋮ Intersections of twisted forms: new theories and double copies ⋮ Connecting the ambitwistor and the sectorized heterotic strings ⋮ Amplitudes on plane waves from ambitwistor strings ⋮ The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order ⋮ Recursion and worldsheet formulae for 6d superamplitudes ⋮ Bootstrapping solutions of scattering equations ⋮ Double copy structure of CFT correlators ⋮ Ambitwistor strings in six and five dimensions ⋮ Gluons and gravitons at one loop from ambitwistor strings ⋮ Unraveling conformal gravity amplitudes ⋮ Field theory actions for ambitwistor string and superstring ⋮ Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality ⋮ Gauge \(\times\) gauge on spheres ⋮ Celestial operator products from the worldsheet

Cites Work

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• The kinematic algebras from the scattering equations
• Scattering of massless particles: scalars, gluons and gravitons
• Analytic representations of Yang-Mills amplitudes
• Derivation of Feynman rules for higher order poles using cross-ratio identities in CHY construction
• On the \(\mathrm{U}(1)\) duality anomaly and the S-matrix of \( \mathcal{N} = 4\) supergravity
• Perturbative gauge theory as a string theory in twistor space
• New recursion relations for tree amplitudes of gluons
• RNS derivation of \(N\)-point disk amplitudes from the revisited S-matrix approach
• CHY formula and MHV amplitudes
• New formulas for amplitudes from higher-dimensional operators
• Connecting the ambitwistor and the sectorized heterotic strings
• Revisiting the S-matrix approach to the open superstring low energy effective Lagrangian
• New relations for gauge-theory amplitudes with matter
• Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
• New ambitwistor string theories
• Anomaly-free two-dimensional chiral supergravity -- matter models and consistent string theories

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