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Advances in Mathematical Physics
Volume 2017, Article ID 4852015, 9 pages
https://doi.org/10.1155/2017/4852015
Research Article

Twistor Parametrization of Locally BPS Super-Wilson Loops

Department of Mathematics, King’s College London, The Strand, London WC2R 2LS, UK

Correspondence should be addressed to Cristian Vergu; moc.liamg@ugrev.c

Received 23 October 2017; Accepted 11 December 2017; Published 31 December 2017

Academic Editor: Claudio Dappiaggi

Copyright © 2017 Cristian Vergu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the kinematics of the locally BPS super-Wilson loop in super-Yang-Mills with scalar coupling from a twistorial point of view. We find that the kinematics can be described either as supersymmetrized pure spinors or as a point in the product of two super-Grassmannian manifolds . In this description of the kinematics the scalar–scalar correlation function appearing in the one-loop evaluation of the super-Wilson loop can be neatly written as a sum of four superdeterminants.