Outputs (7)

Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons (2022)
Journal Article
Smith, D. J., Robson, C. J., & Farrow, J. A. (2022). Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons. Physical Review D, 106(4), Article 045001. https://doi.org/10.1103/physrevd.106.045001

We examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5D super Yang-Mills theory. We begin by detailing the construction of the 1=4-Bogamolyni-Prasad-Somerfeldt instanton soluti... Read More about Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons.

N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space (2021)
Journal Article
Armstrong, C., Farrow, J. A., & Lipstein, A. E. (2021). N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space. Journal of High Energy Physics, 2021(1), Article 181. https://doi.org/10.1007/jhep01%282021%29181

We derive an on-shell diagram recursion for tree-level scattering amplitudes in N = 7 supergravity. The diagrams are evaluated in terms of Grassmannian integrals and momentum twistors, generalising previous results of Hodges in momentum twistor space... Read More about N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space.

Propagators, BCFW recursion and new scattering equations at one loop (2020)
Journal Article
Farrow, J. A., Geyer, Y., Lipstein, A. E., Monteiro, R., & Stark-Muchão, R. (2020). Propagators, BCFW recursion and new scattering equations at one loop. Journal of High Energy Physics, 2020(10), Article 74. https://doi.org/10.1007/jhep10%282020%29074

We investigate how loop-level propagators arise from tree level via a forward-limit procedure in two modern approaches to scattering amplitudes, namely the BCFW recursion relations and the scattering equations formalism. In the first part of the pape... Read More about Propagators, BCFW recursion and new scattering equations at one loop.

Double copy structure of CFT correlators (2019)
Journal Article
Farrow, J. A., Lipstein, A. E., & McFadden, P. (2019). Double copy structure of CFT correlators. Journal of High Energy Physics, 2019(02), Article 130. https://doi.org/10.1007/jhep02%282019%29130

We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and gravitati... Read More about Double copy structure of CFT correlators.

A Monte Carlo approach to the 4D scattering equations (2018)
Journal Article
Farrow, J. A. (2018). A Monte Carlo approach to the 4D scattering equations. Journal of High Energy Physics, 2018(8), Article 85. https://doi.org/10.1007/jhep08%282018%29085

The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current difficulti... Read More about A Monte Carlo approach to the 4D scattering equations.

New worldsheet formulae for conformal supergravity amplitudes (2018)
Journal Article
Farrow, J. A., & Lipstein, A. E. (2018). New worldsheet formulae for conformal supergravity amplitudes. Journal of High Energy Physics, 2018(7), Article 074. https://doi.org/10.1007/jhep07%282018%29074

We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equa... Read More about New worldsheet formulae for conformal supergravity amplitudes.

From 4d ambitwistor strings to on shell diagrams and back (2017)
Journal Article
Farrow, J. A., & Lipstein, A. E. (2017). From 4d ambitwistor strings to on shell diagrams and back. Journal of High Energy Physics, 2017(7), Article 114. https://doi.org/10.1007/jhep07%282017%29114

We investigate the relation between 4d ambitwistor string theory and on-shell diagrams for planar N = 4 super-Yang-Mills and N = 8 supergravity, and deduce several new results about their scattering amplitudes at tree-level and 1-loop. In particular,... Read More about From 4d ambitwistor strings to on shell diagrams and back.