Ambitwistor strings and the scattering equations at one loop

By Tim Adamo, Eduardo Casali, David Skinner. Journal of High Energy Physics, 2013

218 citations recorded by the source corpus.

Ambitwistor strings are chiral, infinite tension analogues of conventional string theory whose target space is the space of complex null geodesics and whose spectrum consists exclusively of massless states. At genus zero, these strings underpin the Cachazo-He-Yuan formulæ for tree level scattering of gravitons, gluons and scalars. In this paper we extend these formulæ in a number of directions. Firstly, we consider Ramond sector vertex operators and construct simple amplitudes involving space-time fermions. These agree with tree amplitudes in ten dimensional supergravity and super Yang-Mills. We then show that, after the usual GSO projections, the ambitwistor string partition function is modular invariant. We consider the scattering equations at genus one, and calculate one loop scattering amplitudes for NS-NS external states in the Type II ambitwistor string. We conjecture that these give new representations of (the integrand of) one loop supergravity amplitudes and we show that they have the expected behaviour under factorization of the worldsheet in both non-separating and separating degenerations.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ec160da7783f83587eeeb88eed580d00e6226348

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Humberto Gomez
2. L. Mason
3. Song He
4. Tim Adamo
5. F. Cachazo
6. E. Y. Yuan
7. R. Monteiro
8. A. Sharma

In Statistical and Nonlinear Physics

1. L. Mason
2. Song He
3. Humberto Gomez
4. F. Cachazo
5. E. Y. Yuan
6. Tim Adamo
7. R. Monteiro
8. A. Sharma

Citations in the corpus

• Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM (2014, background): “Evidence that this must be possible is that in particular dimensions such formulas exist [22, 40, 48].”
• Einstein-Yang-Mills scattering amplitudes from scattering equations (2014, background): “In a follow-up work [17] three and four point amplitudes mixing gravitini and gravitons were also presented in compact form along with a generalization to one loop.”
• Λ scattering equations (2016, methodology): “tidimensional residues [14] on M 0;n. In addition, many algorithms have been created in order to compute these kind of contour integrals [15{25], as well as much progress have been done at loop level [7,26{35]. Denoting the position of n punctures on a sphere by fz 1;z 2;:::z ngand using PSL(2;C) to”
• One-loop amplitudes on the Riemann sphere (2015, methodology): “The ACS version is not holomorphic in the zi; this leads to non-holomorphic scattering equations and it was argued in [24] that they do not give the correct 1/ℓ2 pole structure.”
• Geometry and Physics of Null Infinity (2014, background): “, the ‘memory’ effect [28–30] in the classical theory, and a resurgence in the investigations of the representations of the Bondi Metzner Sachs (BMS) group [21, 22], scattering amplitudes [23, 24] and the subtle infrared issues [25–27] on the quantum side.”
• Celestial amplitudes and conformal soft theorems (2019, background): “ed 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 m”