The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory

Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
We argue that all scattering amplitudes in the maximally supersymmetric N=4 super-Yang–Mills theory possess a new, dual superconformal symmetry which extends the previously discovered dual conformal symmetry of MHV amplitudes. To reveal this property we formulate the scattering amplitudes as functions on the appropriate dual superspace. Rewritten in this form, all tree-level MHV and next-to-MHV amplitudes exhibit manifest dual superconformal symmetry. We propose a new, compact and Lorentz covariant formula for the tree-level NMHV amplitudes for arbitrary numbers and types of external particles. The dual superconformal symmetry is broken at loop level by infrared divergences. However, we provide evidence that the dual conformal anomaly of the MHV and NMHV superamplitudes is the same and, therefore, their ratio is dual conformally invariant. We show this explicitly for the six-particle amplitudes at one loop. We conjecture that these properties hold for all, MHV and non-MHV, superamplitudes in N=4 SYM both at weak and at strong coupling

0550-3213
317-374
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a

Drummond, J.M., Henn, J., Korchemsky, G.P. and Sokatchev, E. (2010) Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory. Nuclear Physics B, 828 (1-2), 317-374. (doi:10.1016/j.nuclphysb.2009.11.022).

Record type: Article

Abstract

We argue that all scattering amplitudes in the maximally supersymmetric N=4 super-Yang–Mills theory possess a new, dual superconformal symmetry which extends the previously discovered dual conformal symmetry of MHV amplitudes. To reveal this property we formulate the scattering amplitudes as functions on the appropriate dual superspace. Rewritten in this form, all tree-level MHV and next-to-MHV amplitudes exhibit manifest dual superconformal symmetry. We propose a new, compact and Lorentz covariant formula for the tree-level NMHV amplitudes for arbitrary numbers and types of external particles. The dual superconformal symmetry is broken at loop level by infrared divergences. However, we provide evidence that the dual conformal anomaly of the MHV and NMHV superamplitudes is the same and, therefore, their ratio is dual conformally invariant. We show this explicitly for the six-particle amplitudes at one loop. We conjecture that these properties hold for all, MHV and non-MHV, superamplitudes in N=4 SYM both at weak and at strong coupling

This record has no associated files available for download.

More information

Published date: March 2010
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 356787
URI: http://eprints.soton.ac.uk/id/eprint/356787
ISSN: 0550-3213
PURE UUID: 261af67f-3098-477b-ad10-1ce4f218e4bd

Catalogue record

Date deposited: 16 Sep 2013 09:14
Last modified: 09 Nov 2021 00:32

Export record

Altmetrics

Contributors

Author: J.M. Drummond
Author: J. Henn
Author: G.P. Korchemsky
Author: E. Sokatchev

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×