Exotic orbits of two interacting wave sources.

Pilot-wave hydrodynamics in a rotating frame: Exotic orbits

The extremal black holes of N = 4 supergravity from so ( 8 , 2 + n ) nilpotent orbits

We consider the stationary solutions of N = 4 supergravity coupled to n vector multiplets that define linear superpositions of non-interacting extremal black holes. The most general solutions of this type are derived from the graded decompositions of so(8, 2 + n) associated to its nilpotent orbits. We illustrate the formalism by giving explicitly asymptotically Minkowski non-BPS solutions of th...

Fractional Quantum Field Theory, Path Integral, and Stochastic Differential Equation for Strongly Interacting Many-Particle Systems

While free and weakly interacting particles are well described by a second-quantized nonlinear Schrödinger field, or relativistic versions of it, with various approximations, the fields of strongly interacting particles are governed by effective actions, whose quadratic terms are extremized by fractional wave equations. Their particle orbits perform universal Lévy walks rather than Gaussian ran...

Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane

We show that the Lukierski et al. model, invariant with respect to the two-fold centrally extended Galilei group, can be decomposed into an infinite number of independent copies (differing in their spin) of the “exotic” particle of Duval et al. The difference between the two models is found to be sensitive to electromagnetic coupling. The nature of the noncommutative plane coordinates is discus...

Gravitational waves from extreme mass ratio inspirals: Challenges in mapping the spacetime of massive, compact objects

In its final year of inspiral, a stellar mass (1− 10M⊙) body orbits a massive (10 − 10M⊙) compact object about 10 times, spiralling from several Schwarzschild radii to the last stable orbit. These orbits are deep in the massive object’s strong field, so the gravitational waves that they produce probe the strong field nature of the object’s spacetime. Measuring these waves can, in principle, be ...