Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2014-42

Dmitry Chicherin, Reza Doobary, Burkhard Eden, Paul Heslop, Gregory P. Korchemsky, Lional Mason, Emery Sokatchev


Correlation functions of the chiral stress-tensor multiplet in N=4 SYM.


Abstract: We give a new method for computing the correlation functions of the chiral part of the stresstensor supermultiplet that relies on the reformulation of N = 4 SYM in twistor space. It yields the correlation functions in the Born approximation as a sum of Feynman diagrams on twistor space that involve only propagators and no integration vertices. We use this unusual feature of the twistor Feynman rules to compute the correlation functions in terms of simple building blocks which we identify as a new class of N = 4 off-shell superconformal invariants. Making use of the duality between correlation functions and planar scattering amplitudes, we demonstrate that these invariants represent an off-shell generalisation of the on-shell invariants defining tree-level scattering amplitudes in N = 4 SYM.



Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2014-42


48 pp.