One loop amplitude from null string

Abstract

We generalize the CHY formalism to one-loop level, based on the framework of the null string theory. The null string, a tensionless string theory, produces the same results as the ones from the chiral ambitwistor string theory, with the latter believed to give a string interpretation of the CHY formalism. A key feature of our formalism is the interpretation of the modular parameters. We find that the $S$ modular transformation invariance of the ordinary string theory does not survive in the case of the null string theory. Treating the integration over the modular parameters this way enable us to derive the n-gons scattering amplitude in field theory, thus proving the n-gons conjecture.

arXiv comment18 pages, 2 figures

References in corpus (13)

• Scattering of Massless Particles in Arbitrary Dimension
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Ambitwistor strings and the scattering equations
• Ambitwistor strings and the scattering equations at one loop
• Loop Integrands for Scattering Amplitudes from the Riemann Sphere
• Classical and Quantized Tensionless Strings
• Doubled α'-Geometry
• One-loop amplitudes on the Riemann sphere
• On the null origin of the ambitwistor string
• One-Loop Corrections from Higher Dimensional Tree Amplitudes
• New Representations of the Perturbative S-Matrix
• Integration Rules for Loop Scattering Equations
• Factorization of Chiral String Amplitudes

Cited by in corpus (7)

• Gluons and gravitons at one loop from ambitwistor strings
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• A String Theory Which Isn't About Strings
• The complex null string, Galilean conformal algebra and scattering equations
• Windings of twisted strings
• Chiral strings, the sectorized description and their integrated vertex operators
• Asymmetrically twisted strings