Palestrante: Prof. Francesco Toppan (CBPF)
Título: The ℤ2×ℤ2 graded symmetry of the Lévy-Leblond Equations.
Data: 16/12/2016. Local: S 309-2. Horário: 10h00.
Abstract: The first-order differential Lévy-Leblond equations (LLE's) are the non-relativistic analogs of the Dirac equation, being square roots of (1+d)-dimensional Schrödinger or heat equations. Just like the Dirac equation, the LLE's possess a natural supersymmetry.
The free LLE's possess another, Z_2XZ_2-graded symmetry, not recognized in the literature. The presence of the ℤ2×ℤ2-graded Lie symmetry of the (1+2)-dimensional free heat LLE introduces a new feature, explaining the existence of first-order differential symmetry operators not entering the super Schrödinger algebra.
The talk is based on Aizawa-Kuznetsova-Tanaka-F.T., arXiv:1609.08224 (to appear in PTEP).