Yangian Symmetry in Five Dimensions

Abstract

Quantum gravity in AdS${}_7\times$S${}^4$ is dual to a 6d superconformal field theory, known as the 6d $(2,0)$ theory, which is very challenging to describe because it lacks a conventional Lagrangian description. On the other hand, certain null reductions of the 6d $(2,0)$ theory give rise to 5d Lagrangian theories with $SU(1,3)$ spacetime symmetry, $SO(5)$ R-symmetry, and 24 supercharges. This appears to be closely related to the superconformal group of a 3d superconformal Chern-Simons theory known as the ABJM theory, which is believed to be integrable in the planar limit, if one exchanges the role of conformal and R-symmetry. In this note, we construct a representation of the 5d superconformal group using 6d supertwistors and show that it admits an infinite dimensional extension known as Yangian symmetry, which opens up the possiblity that these 5d theories are exactly solvable in the planar limit.

v3. published in PRL

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• 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
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• On D=5 super Yang-Mills theory and (2,0) theory
• Amplitudes and Spinor-Helicity in Six Dimensions
• Notes on the scattering amplitude / Wilson loop duality
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• On AdS_4 x CP^3 T-duality
• The polarized scattering equations for 6d superamplitudes
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• From Six to Four and More: Massless and Massive Maximal Super Yang-Mills Amplitudes in 6d and 4d and their Hidden Symmetries
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
• Emergent Time and the M5-Brane
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory