395 citations · 878 across the 14 of their papers we have counts for
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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…
The reality conditions for the new canonical variables of General Relativity
Giorgio Immirzi
We examine the constraints and the reality conditions that have to be imposed in the canonical theory of 4--d gravity formulated in terms of Ashtekar variables. We find that the po…