Ambitwistor Strings in Six and Five Dimensions

Abstract

Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation is naturally conformally invariant. Anomaly cancellation leads to models that describe biadjoint scalar amplitudes and certain conformally invariant gauge and gravity theories, respectively of 4${}^{\mathrm{th}}$ and 6${}^{\mathrm{th}}$ order. There are three such models, reflecting triality for the conformal group SO(8) associated to these 6d models. On reduction to five dimensions, gauge anomaly cancellation requires supersymmetry and the resulting models describe maximally supersymmetric Yang-Mills and gravity. The twistor representation of these ambitwistor strings lead to formulæ for maximally supersymmetric gauge and gravity amplitudes based on the polarized scattering equations in 5d, found earlier by the first two authors.

arXiv comment36 pages, 3 figures

References in corpus (36)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Scattering of Massless Particles in Arbitrary Dimension
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Ambitwistor strings and the scattering equations
• On the Tree-Level S-Matrix of Yang-Mills Theory
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• Ambitwistor strings and the scattering equations at one loop
• Amplitudes and Spinor-Helicity in Six Dimensions
• Ambitwistor strings in 4-dimensions
• Infinite Tension Limit of the Pure Spinor Superstring
• Supertwistor space for 6D maximal super Yang-Mills
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• Twistor Strings for N=8 Supergravity
• Conformal Field Theories in Six-Dimensional Twistor Space
• Twistor Superstring in 2T-Physics
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• Conformal Gravity from Gauge Theory
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• The polarized scattering equations for 6d superamplitudes
• M5-Brane and D-Brane Scattering Amplitudes
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• Field theory actions for ambitwistor string and superstring
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Supersymmetric S-matrices from the worldsheet in 10 and 11d
• (Super)twistors and (super)strings
• A Superstring Field Theory for Supergravity
• Spinor description of $D=5$ massless low-spin gauge fields
• On D=11 supertwistors, superparticle quantization and a hidden SO(16) symmetry of supergravity
• Supertwistor formulation for higher dimensional superstrings
• Supertwistor description of ambitwistor strings
• Recursion and worldsheet formulae for 6d superamplitudes
• Space-time CFTs from the Riemann sphere
• Superconformal Field Theory In Six Dimensions And Supertwistor
• The supersymmetric Penrose transform in six dimensions
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Four Dimensional Anomaly-Free Twistor String

Cited by in corpus (2)

• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• From Twistor-Particle Models to Massive Amplitudes