Trirefringence and the M5-brane

Mar 20, 2023
14 pages
Published in:
  • JHEP 06 (2023) 171
  • Published: Jun 26, 2023
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Abstract: (Springer)
The Hamiltonian formulation for nonlinear chiral 2-form electrodynamics in six-dimensional Minkowski spacetime is used to show that small-amplitude plane-wave perturbations of a generic uniform constant ‘magnetic’ background exhibit trirefringence: all three independent wave-polarisations have distinct dispersion relations. While two coincide for Lorentz invariant theories, all three coincide uniquely for the chiral 2-form theory on the worldvolume of the M5-brane of M-theory. We argue that this is because, in this M-theory context, the waves propagate in a planar M5-M2-M2 bound-state preserving 16 supersymmetries. We also show how our results imply analogous results for nonlinear electrodynamics in a Minkowski spacetime of five and four dimensions.
Note:
  • 14 pages, v4 includes minor clarifications to v3
  • Field Theories in Higher Dimensions
  • Brane Dynamics in Gauge Theories
  • M-Theory
  • space-time: Minkowski
  • dimension: 6
  • invariance: Lorentz
  • M-theory
  • nonlinear
  • chiral
  • dispersion relation