The Extended Loop Group: An Infinite Dimensional Manifold Associated with the Loop Space

A set of coordinates in the non parametric loop-space is introduced. We show that these coordinates transform under infinite dimensional linear representations of the diffeomorphism group. An extension of the group of loops in terms of these objects is proposed. The enlarged group behaves locally as an infinite dimensional Lie group. Ordinary loops form a subgroup of this group. The algebraic properties of this new mathematical structure are analized in detail. Applications of the formalism to field theory, quantum gravity and knot theory are considered.Comment: The resubmited paper contains the title and abstract, that were omitted in the previous version. 42 pages, report IFFI/93.0

Lawson criterion for ignition exceeded in an inertial fusion experiment

For more than half a century, researchers around the world have been engaged in attempts to achieve fusion ignition as a proof of principle of various fusion concepts. Following the Lawson criterion, an ignited plasma is one where the fusion heating power is high enough to overcome all the physical processes that cool the fusion plasma, creating a positive thermodynamic feedback loop with rapidly increasing temperature. In inertially confined fusion, ignition is a state where the fusion plasma can begin "burn propagation" into surrounding cold fuel, enabling the possibility of high energy gain. While "scientific breakeven" (i.e., unity target gain) has not yet been achieved (here target gain is 0.72, 1.37 MJ of fusion for 1.92 MJ of laser energy), this Letter reports the first controlled fusion experiment, using laser indirect drive, on the National Ignition Facility to produce capsule gain (here 5.8) and reach ignition by nine different formulations of the Lawson criterion

The role of p38α mitogen-activated protein kinase gene in the HELLP syndrome

Mitogen-activated protein kinase (MAPK) p38α was shown to be implicated in the organogenesis of the placenta, and such placental alteration is crucial for the development of hemolysis, elevated liver enzymes, and low platelets (HELLP) syndrome. We aimed to analyze for the first time human placental expression of MAPK p38α in pregnancies complicated by HELLP. The placental expression of MAPK p38α was investigated by semiquantitative polymerase chain reaction using cDNA extracted from placental tissue of 15 pregnancies with HELLP syndrome and 15 gestational age-matched controls. Seven patients with HELLP also had intrauterine fetal growth restriction (IUGR). In placenta from pregnancy complicated by HELLP, the expression of MAPK p38α is significantly decreased compared to the group with normal pregnancy (p < 0.001), while no difference was found between the HELLP and HELLP with IUGR subpopulations. Our study shows for the first time that MAPK p38α is expressed in the human placenta. Pregnancies with placental dysfunction and hypertensive complications are characterized by a significantly decreased expression of MAPK p38α. Our observations suggest that p38 MAPK signaling may be essential in placental angiogenesis and functioning