On the Geometry of Null Polygons in Full N=4 Superspace

Abstract

We discuss various formulations of null polygons in full, non-chiral N=4 superspace in terms of spacetime, spinor and twistor variables. We also note that null polygons are necessarily fat along fermionic directions, a curious fact which is compensated by suitable equivalence relations in physical theories on this superspace.

25 pages, v2: comment on correlation functions added

References in corpus (31)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• On planar gluon amplitudes/Wilson loops duality
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Notes on the scattering amplitude / Wilson loop duality
• From correlation functions to Wilson loops
• The super-correlator/super-amplitude duality: Part I
• From correlation functions to scattering amplitudes
• Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM
• Exacting N=4 Superconformal Symmetry
• More on the duality correlators/amplitudes
• Scattering Amplitudes and Wilson Loops in Twistor Space
• Are scattering amplitudes dual to super Wilson loops?
• MHV Diagrams in Momentum Twistor Space
• Holography in Superspace
• Descent equations for superamplitudes
• Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space
• Null Polygonal Wilson Loops in Full N=4 Superspace

Cited by in corpus (8)

• Motivic Amplitudes and Cluster Coordinates
• Integrability of Smooth Wilson Loops in N=4 Superspace
• Null Polygonal Wilson Loops in Full N=4 Superspace
• Lightlike contours with fermions
• Supersymmetric Wilson Loops via Integral Forms
• Twistors, Harmonics and Holomorphic Chern-Simons
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• Twistor Parametrization of Locally BPS Super-Wilson Loops