Trirefringence and the M5-brane
Mar 20, 2023
Citations per year
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
References(29)
Figures(0)
- [1]
- [3]
- [5]
- [6]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [25]