Conformal anisotropic mechanics and the Hořava dispersion relation
نویسندگان
چکیده
منابع مشابه
Particle Motion with Hořava – Lifshitz type Dispersion Relations
Using super Hamiltonian formalism, we study the motion of particles whose dispersion relations are modified to incorporate Hořava – Lifshitz type anisotropic scaling symmetry. We find the following as consequences of this modified dispersion relation: (i) The speed of a charged particle under a constant electric field grows without bound and diverges. (ii) The speed of a particle falling toward...
متن کاملConformal and Superconformal Mechanics
We investigate the conformal and superconformal properties of a non-relativistic spinning particle propagating in a curved background coupled to a magnetic field and with a scalar potential. We derive the conditions on the couplings for a large class of such systems which are necessary in order their actions admit conformal and superconformal symmetry. We find that some of these conditions can ...
متن کاملAnisotropic Conformal Infinity
We generalize Penrose’s notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory, for spacetimes exhibiting a natural asymptotic anisotropy. Examples include the Lifshitz and Schrödinger spaces (proposed as AdS/CFT duals of nonrelativistic f...
متن کاملConformal Mechanics and the Virasoro Algebra
We demonstrate that any scale-invariant mechanics of one variable exhibits not only 0+1 conformal symmetry, but also the symmetries of a full Virasoro algebra. We discuss the implications for the adS/CFT correspondence.
متن کاملThe Geometry of (Super) Conformal Quantum Mechanics
N -particle quantum mechanics described by a sigma model with an N -dimensional target space with torsion is considered. It is shown that an SL(2, IR) conformal symmetry exists if and only if the geometry admits a homothetic Killing vectorD∂a whose associated one-form DadX a is closed. Further, the SL(2, IR) can always be extended to Osp(1|2) superconformal symmetry, with a suitable choice of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2010
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.81.065013