5 papers · 1 filter
Duality in Fuzzy Sigma Models
A. P. Balachandran, Giorgio Immirzi
Nonlinear `sigma' models in two dimensions have BPS solitons which are solutions of self- and anti-self-duality constraints. In this paper, we find their analogues for fuzzy sigma…
The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem
A. P. Balachandran, G. Immirzi
The Ginsparg-Wilson algebra is the algebra underlying the Ginsparg-Wilson solution of the fermion doubling problem in lattice gauge theory. The Dirac operator of the fuzzy sphere i…
Fuzzy Nambu-Goldstone Physics
A. P. Balachandran, G. Immirzi
In spacetime dimensions larger than 2, whenever a global symmetry G is spontaneously broken to a subgroup H, and G and H are Lie groups, there are Nambu-Goldstone modes described b…
Dirac Operators on Coset Spaces
A. P. Balachandran, Giorgio Immirzi, Joohan Lee +1
The Dirac operator for a manifold Q, and its chirality operator when Q is even dimensional, have a central role in noncommutative geometry. We systematically develop the theory of…
Chiral Symmetry on
Giorgio Immirzi, Badis Ydri
In this talk we give a brief description of the formulation of chiral and gauge symmetries on the fuzzy sphere . In particular fermion doublers are shown to be absent and the corre…