38 citations · 211 across the 15 of their papers we have counts for
15 papers
Split-Quaternions and the Dirac Equation
Francesco Antonuccio
We show that Dirac 4-spinors admit an entirely equivalent formulation in terms of 2-spinors defined over the split-quaternions. In this formalism, a Lorentz transformation is repre…
4-Spinors and 5D Spacetime
Francesco Antonuccio
We revisit the subject exploring maps from the space of 4-spinors to 3+1 space-time that commute with the Lorentz transformation. All known mappings have a natural embedding in a h…
4-Spinors and a Projection onto 3+1 Spacetime
Francesco Antonuccio
We write down an explicit projection that maps any given 4-spinor to a point in 3+1 spacetime while commuting with the Lorentz action. This suggests that a Lorentz invariant theory…
Can DLCQ test the Maldacena Conjecture?
Francesco Antonuccio, Akikazu Hashimoto, Oleg Lunin +1
We consider the Maldacena conjecture applied to the near horizon geometry of a D1-brane in the supergravity approximation and consider the possibility of testing the conjecture aga…
Hyperbolic Numbers and the Dirac Spinor
Francesco Antonuccio
A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over the hyperbolic number system. The transformation properties of the corresponding four compone…
Super Yang-Mills at Weak, Intermediate and Strong Coupling
Francesco Antonuccio, Oleg Lunin, Stephen Pinsky
We consider three dimensional SU(N) N=1 super-Yang-Mills compactified on the space-time R X S^1 X S^1. In particular, we compactify the light-cone coordinate x^- on a light-like ci…