88 citations · 540 across the 32 of their papers we have counts for
23 papers · 1 filter
Projected Yang-Mills Theory and the MacDowell-Mansouri Analogy
Pedro D. Alvarez
We study gauge theories with a degenerate curvature kinetic operator defined by an orthogonal complex structure. The kinetic image is $\su(n)$, while the adjoint vacuum ha…
Gravity and Matter from Soldered Chiral Superconnections
P. D. Alvarez, J. T. Hartwig, A. Sharma
We present a reformulation of four-dimensional chiral gravity in terms of a chiral gauge connection and a Clifford-valued coframe. The exterior algebra generated by , toge…
Chiral symmetry breaking in models with unconventional supersymmetry
Pedro D. Alvarez, Cristian Villavicencio, Jorge Zanelli
We investigate dynamical mass generation in a geometrically constructed gauge theory based on the super Lie algebra , in which gravity, Yang-Mills fields, and fermions a…
A Geometric Action Principle for Unification of Yang-Mills Fields, Gravity and Matter Fermions
Pedro D. Alvarez, Fernando Izaurieta, Cristian Quinzacara
A single geometric action, constructed as a linear combination of a restricted six-dimensional family of Clifford-generated invariant terms, simultaneously generates the gravitatio…
Gravitating spinor torsional BTZ solution
P. D. Alvarez, J. Ortiz, J. Zanelli
We construct exact analytic solutions for a supersymmetric Chern-Simons theory with matter fields in the adjoint representation (unconventional supersymmetry). The configurations c…
Self duality in unconventional conformal supersymmetry
Pedro D. Alvarez, Cristóbal Corral, Jorge Zanelli
In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a Townsend-MacDowell-Mansouri form for an $SU(2…