No self-interaction for two-column massless fields

We investigate the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths. We prove that, in flat space, these theories admit no local, Poincaré-invariant, smooth, selfinteracting deformation with at most two derivatives in the Lagrangian. Relaxing the derivative and Lorentz-invariance assumptions, there still is no deformation that modifies the gauge algebra, and in most cases no deformation that alters the gauge transformations. Our approach is based on a Becchi-Rouet-Stora-iyutin (BRST) -cohomology deformation procedure. © 2005 American Institute of Physics.

The evolutionarily conserved transcription factor PRDM12 controls sensory neuron development and pain perception

PR homology domain-containing member 12 (PRDM12) is a highly evolutionary conserved member of the Prdm family of transcription factors that play essential roles in many cell fate decisions. In human, PRDM12 coding mutations have been recently identified in several patients with hereditary sensory and autonomic neuropathy (HSAN) (submitted elsewhere). Here we show that PRDM12 is involved in sensory neurogenesis in Xenopus and that several of the human Prdm12 mutants show altered structure, subcellular localization and function. In Drosophila, we demonstrate that the sensory neuron specific RNAi knockdown of the Prdm12 ortholog Hamlet induces impaired nociception and that a similar phenotype is observed in hypomorph hamlet mutants. In human fibroblasts of patients with PRDM12 mutations, we identified additional possible downstream target genes including thyrotropin-releasing hormone degrading enzyme (TRHDE). Knock-down of fly TRHDE in sensory neurons resulted in altered nociceptive neurons and impaired nociception. Collectively, these findings provide the first evidence showing that Prdm12 plays an important role in sensory neuron development. They also suggest that it has a critical evolutionarily conserved role in pain perception via modulation of the TRH signaling pathway.