T-Dualities and Doubled Geometry of the Principal Chiral Model

The Principal Chiral Model (PCM) defined on the group manifold of SU(2) is here investigated with the aim of getting a further deepening of its relation with Generalized and Doubled Geometry. A one-parameter family of equivalent Hamiltonian descriptions is introduced, and cast into the form of Born geometries. Then O(3,3) duality transformations of the target phase space are performed and we show that the resulting dual models are defined on the group SB(2,C) which is the Poisson-Lie dual of SU(2) in the Iwasawa decomposition of the Drinfel'd double SL(2, C). Moreover, starting from the Lagrangian approach, a new kind of duality is found between the SU(2) PCM and the natural one defined on SB(2,C) which is not an isometry of the target phase space. A parent action with doubled degrees of freedom and configuration space SL(2, C) is then defined that reduces to either one of the dually related models, once suitable constraints are implemented.Comment: 41 pages, revised version published in JHE

Doubling, T-Duality and Generalized Geometry: a Simple Model

A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet Formalism/Double Field Theory, on the other hand. The model is defined over the group manifold of SU(2) and a dual model is introduced having the Poisson-Lie dual of SU(2) as configuration space. A generalized action with configuration space SL(2,C), i.e. the Drinfel'd double of the group SU(2), is then defined: it reduces to the original action of the rotator or to its dual, once constraints are implemented. The new action contains twice as many variables as the original. Moreover, its geometric structures can be understood in terms of Generalized Geometry. keywords: Generalized Geometry, Double Field Theory, T-Duality, Poisson-Lie symmetry.Comment: 37 pages. Revised version to appear in JHE

Induction and Transcriptional Regulation of Laccases in Fungi

Fungal laccases are phenol oxidases widely studied for their use in several industrial applications, including pulp bleaching in paper industry, dye decolourisation, detoxification of environmental pollutants and revalorization of wastes and wastewaters. The main difficulty in using these enzymes at industrial scale ensues from their production costs. Elucidation of the components and the mechanisms involved in regulation of laccase gene expression is crucial for increasing the productivity of native laccases in fungi. Laccase gene transcription is regulated by metal ions, various aromatic compounds related to lignin or lignin derivatives, nitrogen and carbon sources. In this manuscript, most of the published results on fungal laccase induction, as well as analyses of both the sequences and putative functions of laccase gene promoters are reviewed. Analyses of promoter sequences allow defining a correlation between the observed regulatory effects on laccase gene transcription and the presence of specific responsive elements, and postulating, in some cases, a mechanism for their functioning. Only few reports have investigated the molecular mechanisms underlying laccase regulation by different stimuli. The reported analyses suggest the existence of a complex picture of laccase regulation phenomena acting through a variety of cis acting elements. However, the general mechanisms for laccase transcriptional regulation are far from being unravelled yet

T-Duality and Doubling of the Isotropic Rigid Rotator

After reviewing some of the fundamental aspects of Drinfel’d doubles and Poisson-Lie T-duality, we describe the three-dimensional isotropic rigid rotator on SL(2,C) starting from a non-Abelian deformation of the natural carrier space of its Hamiltonian description on T∗SU(2) = SU(2)semidirect R^3. .A new model is then introduced on the dual group SB(2,C), within the Drinfel’d double description of SL(2,C) = SU(2) x SB(2,C). The two models are analysed from the Poisson-Lie duality point of view, and a doubled generalised action is built with T SL(2,C) as carrier space. The aim is to explore within a simple case the relations between Poisson-Lie symmetry, Doubled Geometry and Generalized Geometry. In fact, all the mentioned structures are discussed, such as a Poisson realization of the C-brackets for the generalized bundle T ⊕ T^*over SU(2) from the Poisson algebra of the generalized model. The two dual models exhibit many features of PoissonLie duals and from the generalized action both of them can be respectively recovered by gauging one of its symmetries

Transcriptional analysis of Pleurotus ostreatus laccase genes

Fungal laccases (p-diphenol:oxygen oxidoreductase; EC 1.10.3.2) are multi-copper-containing oxidases that catalyse the oxidation of a great variety of phenolic compounds and aromatic amines through simultaneous reduction of molecular oxygen to water. Fungi generally produce several laccase isoenzymes encoded by complex multi-gene families. The Pleurotus ostreatus genome encodes 11 putative laccase coding genes, and only six different laccase isoenzymes have been isolated and characterised so far. Laccase expression was found to be regulated by culture conditions and developmental stages even if the redundancy of these genes still raises the question about their respective unctions in vivo. In this context, laccase transcript profiling analysis has been used to unravel the physiological role played by the different isoforms produced by P. ostreatus. Even if reported results depict a complex picture of the transcriptional responses exhibited by the analysed laccase genes, they were allowed to speculate on the isoform role in vivo. Among the produced laccases, LACC10 (POXC) seems to play a major role during vegetative growth, since its transcription is downregulated when the fungus starts the fructification process. Furthermore, a new tessera has been added to the puzzling mosaic of the heterodimeric laccase LACC2 (POXA3). LACC2 small subunit seems to play an additional physiological role during fructification, beside that of LACC2 complex activation/stabilisation

Laccase pretreatment for agrofood wastes valorization

Apple pomace, potato peels, and coffee silverskin are attractive agrofood wastes for the production of biofuels and chemicals, due to their abundance and carbohydrate content. As lignocellulosic biomasses, their conversion is challenged by the presence of lignin that prevents hydrolysis of polysaccharides, hence demanding a pretreatment step. In this work, the effectiveness of Pleurotus ostreatus laccases (with and without mediator) to remove lignin, improving the subsequent saccharification, was assessed. Optimized conditions for sequential protocol were set up for all agrofood wastes reaching delignification and detoxification yields correlated with high saccharification. Especially noteworthy were results for apple pomace and coffee silverskin for which 83% of and 73% saccharification yields were observed, by using laccase and laccase mediator system, respectively. The herein developed sequential protocol, saving soluble sugars and reducing the amount of wastewater, can improve the overall process for obtaining chemicals or fuels from agrofood wastes

Identification of a new member of Pleurotus ostreatus laccase family from mature fruiting body

Laccases (benzenediol:oxygen oxidoreductases, EC 1.10.3.2) are blue multicopper oxidases, catalyzing the oxidation of an array of aromatic substrates concomitantly with the reduction of molecular oxygen to water. Most of the known laccases have fungal or plant origins, although few laccases have been also identified in bacteria and insects. Most of the fungal laccases reported thus far are extra-cellular enzymes, whereas only few enzymes from fruiting bodies have been described so far. Multiple isoforms of laccases are usually secreted by each fungus depending on species and environmental conditions. As a fact, a laccase gene family has been demonstrated in the white-rot fungus Pleurotus ostreatus. This work allowed identification and characterization of the first laccase isoenzyme from the fruiting body of P. ostreatus. Discovery through mass spectrometry of LACC12 proves the expression of a functional protein by the related deduced encoding transcript. The topology of phylogenetic tree of fungal laccases proves that LACC12 falls in cluster with the members of P. ostreatus LACC10 (=POXC) subfamily, although lacc12 deduced intron-exon structure differs from that of the subfamily members and the related locus is located in a different chromosome. Results show that the evolutionary pattern of lacc12 and that of the other laccase isozyme genes may have evolved independently, possibly through duplication-divergence events. The reported data add a new piece to the knowledge about P. ostreatus laccase multigene family and shed light on the role(s) played by individual laccase isoforms in P. ostreatus