We consider the D4−D8−D8 brane system which serves as ultraviolet completion of the Nambu-Jona-Lasinio model, where the only degrees of freedom carrying baryon charge are fermions. By turning on chemical potential for this charge one may expect the formation of the Fermi liquid ground state. At strong coupling we use the dual holographic description to investigate the responses of the system to...

The role of topology in the perturbative solution of the Euclidean Einstein equations (EEEs) about flat instantons is examined. When the topology is open (with asymptotically flat boundary conditions) it is simple to demonstrate that all vacuum perturbations vanish at all orders in perturbation theory; when the topology is closed (a four-torus say) all but a 10-parameter family of global metric...

We conceptualize protein folding as motion in a large dimensional dihedral angle space. We use Lagrangian mechanics and introduce an unspecified Lagrangian to study the motion. The fact that we have reliable folding leads us to conjecture the totality of paths forms caustics that can be recognized by the vanishing of the second variation of the action. There are two types of folding processes: ...

The general relativistic gravitomagnetic clock effect consists in the fact that two massive test bodies orbiting a central spinning mass in its equatorial plane along two identical circular trajectories, but in opposite directions, take different times in describing a full revolution with respect to an asymptotically inertial observer. In the field of the Earth such time shift amounts to 10−7 s...

Non-uniform black strings coupled to a gauge field are constructed by a perturbative method in a wide range of spacetime dimensions. At the linear order of perturbations, we see that the Gregory-Laflamme instability vanishes at the point where the background solution becomes ther-modynamically stable. The emergence/vanishing of the static mode resembles phase transitions, and in fact we find th...

In this paper we analyze the perturbations of the Kerr-Newman dilatonic black hole background. For this purpose we perfom a double expansion in both the background electric charge and the wave parameters of the relevant quantities in the Newman-Penrose formalism. We then display the gravita-tional, dilatonic and electromagnetic equations, which reproduce the static solution (at zero order in th...

solvable by means of a simple hybrid control law, i.e., it is possible to achieve global exponential stability of the zero equilibrium in the presence of (small) perturbations vanishing at the origin. The control law retains the basic properties of the discontinuous control laws proposed in [1], namely exponential convergence rate and lack of oscillatory behavior. The results presented in this ...

The general relativistic gravitomagnetic clock effect consists in the fact that two massive test bodies orbiting a central spinning mass in its equatorial plane along two identical circular trajectories, but in opposite directions, take different times in describing a full revolution with respect to an asymptotically inertial observer. In the field of the Earth such time shift amounts to 10−7 s...

We study the imprints of secluded dark sectors with a mass gap and self-interactions on matter power spectrum. When Dark Matter (DM) is sufficiently light, in ballpark few KeV, self-interacting we find qualitative difference respect to $\Lambda$CDM also free streaming DM. In order emphasize role interactions for evolution primordial perturbations discuss various regimes: ranging from ideal case...