38 citations · 211 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
How `Complex' is the Dirac Equation?
Francesco Antonuccio
A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over a simple non-division algebra. The transformation properties of the corresponding four compon…
On Exact Supersymmetry in DLCQ
F. Antonuccio, O. Lunin, S. Pinsky
In recent years a supersymmetric form of discrete light-cone quantization (hereafter `SDLCQ') has emerged as a very powerful tool for solving supersymmetric field theories. In this…
Decoupling of Zero-Modes and Covariance in the Light-Front Formulation of Supersymmetric Theories
M. Burkardt, F. Antonuccio, S. Tsujimaru
We show under suitable assumptions that zero-modes decouple from the dynamics of non-zero modes in the light-front formulation of some supersymmetric field theories. The implicatio…
Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
Francesco Antonuccio, Oleg Lunin, Stephen S. Pinsky
We consider the dimensional reduction of N=1 {SYM}_{2+1} to 1+1 dimensions. The gauge groups we consider are U(N) and SU(N), where N is finite. We formulate the continuum bound sta…