A supersymmetric spin current

Abstract

We study the supersymmetric structure of the spin current in four dimensional $\mathcal{N}=1$ supersymmetric theories. By coupling the stress tensor multiplet to a vierbein multiplet we identify a spin current with the Hodge dual of the bottom component of the stress tensor multiplet in a wide range of theories. This implies that in holographic theories the Hodge dual of the $R$ current may serve as a spin current, paving the way for holographic studies of theories with background torsion.

References in corpus (26)

• Nonlinear Fluid Dynamics from Gravity
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Physical Aspects of the Space-Time Torsion
• Rigid Supersymmetric Theories in Curved Superspace
• Angular momentum conservation in heavy ion collisions at very high energy
• Relativistic fluid dynamics with spin
• Polarization probes of vorticity in heavy ion collisions
• Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity
• Supercurrents and Brane Currents in Diverse Dimensions
• Hydrodynamics of spin currents
• Dislocations and torsion in graphene and related systems
• Curvature and torsion effects in the spin-current driven domain wall motion
• Parallel Transport of Electrons in Graphene Parallels Gravity
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Hydrodynamics, spin currents and torsion
• Revisiting the Stability of Quadratic Poincaré Gauge Gravity
• Superfield Noether Procedure
• Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
• Higher Spin Superfield interactions with Complex linear Supermultiplet: Conserved Supercurrents and Cubic Vertices
• Lattice field theory with torsion
• Integer superspin supercurrents of matter supermultiplets
• Torsional Monopoles and Torqued Geometries in Gravity and Condensed Matter
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Complex linear superfields, Supercurrents and Supergravities
• Using torsion to manipulate spin currents

Cited by in corpus (1)

• The role of torsion in holographic conductivity