Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the scalar field via minimal coupling to the conserved currents. A symmetric conserved current, bilinear in the scalar field and containing up to r derivatives, is obtained for any rank r from its flat spacetime counterpart in dimension d+1, via a radial dimensional reduction valid precisely for the mass-square domain of unitarity in (anti) de Sitter spacetime of dimension d. The infinite collection of conserved currents and cubic vertices are summarized in a compact form by making use of generating functions and of the Weyl/Wigner quantization on constant curvature spaces.Comment: 35+1 pages, v2: two references added, typos corrected, enlarged discussions in Subsection 5.2 and in Conclusion, to appear in JHE

Symmetries and currents of the ideal and unitary Fermi gases

The maximal algebra of symmetries of the free single-particle Schroedinger equation is determined and its relevance for the holographic duality in non-relativistic Fermi systems is investigated. This algebra of symmetries is an infinite dimensional extension of the Schroedinger algebra, it is isomorphic to the Weyl algebra of quantum observables, and it may be interpreted as a non-relativistic higher-spin algebra. The associated infinite collection of Noether currents bilinear in the fermions are derived from their relativistic counterparts via a light-like dimensional reduction. The minimal coupling of these currents to background sources is rewritten in a compact way by making use of Weyl quantisation. Pushing forward the similarities with the holographic correspondence between the minimal higher-spin gravity and the critical O(N) model, a putative bulk dual of the unitary and the ideal Fermi gases is discussed.Comment: 67 pages, 2 figures; references added, minor improvements in the presentation, version accepted for publication in JHE

Genome-wide analyses identify a role for SLC17A4 and AADAT in thyroid hormone regulation.

Thyroid dysfunction is an important public health problem, which affects 10% of the general population and increases the risk of cardiovascular morbidity and mortality. Many aspects of thyroid hormone regulation have only partly been elucidated, including its transport, metabolism, and genetic determinants. Here we report a large meta-analysis of genome-wide association studies for thyroid function and dysfunction, testing 8 million genetic variants in up to 72,167 individuals. One-hundred-and-nine independent genetic variants are associated with these traits. A genetic risk score, calculated to assess their combined effects on clinical end points, shows significant associations with increased risk of both overt (Graves' disease) and subclinical thyroid disease, as well as clinical complications. By functional follow-up on selected signals, we identify a novel thyroid hormone transporter (SLC17A4) and a metabolizing enzyme (AADAT). Together, these results provide new knowledge about thyroid hormone physiology and disease, opening new possibilities for therapeutic targets

Nominalizations of Spanish perception verbs at the syntax-semantics interface

Most studies on nominalization focus on nouns derived from action verbs and pay little attention to other semantic types. This article aims to fill this gap by studying a group of perception nominalizations in Spanish. It is well-known that the semantic distinctions that cross the field of perception (corresponding to the perception modalities and agentivity of the perceiver) influence the syntax of the corresponding verbs, and especially their complementing pattern. Yet, it has not yet been studied to what extent these oppositions have an impact on the argument structure of perception nominalizations. Moreover, as opposed to previous analyses, which mainly focus on theoretical assumptions of the nominalization process, this study is corpus-based and provides a quantitative as well as qualitative analysis

On the aspect of deverbal nominals: a corpus study of perception nominalizations in Spanish

Nominalizations have mainly been studied from a theoretical point of view and consequently, elaborate corpus studies on this category are hard to find. Moreover, apart from some recent interest in psychological nouns, literature has generally focused on prototypical instances, i.e. deverbal nominalizations derived from verbs with an agentive subject (e.g. construction, translation). This paper fills up these gaps by examining the aspectual behaviour of a fairly neglected class, namely perception nominals in Spanish (e.g. vista, mirada, escucha). Corpus data of different nature are used to show that the aspectual complexity of these nominals is comparable to the heterogeneity of the related class of perception verbs

Towards a gravity dual of the unitary Fermi gas

5 pages; references and comments added, version accepted for publication in Phys.Rev.DInspired by the method of null dimensional reduction and by the holographic correspondence between Vasiliev's higher-spin gravity and the critical O(N) model, a bulk dual of the unitary and the ideal non-relativistic Fermi gases is proposed