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Spin Dirac Operators on the Fuzzy 2-Sphere
A. P. Balachandran, Pramod Padmanabhan
The spin 1/2 Dirac operator and its chirality operator on the fuzzy 2-sphere can be constructed using the Ginsparg-Wilson(GW) algebra [arxiv:hep-th/0511114]. This construct…
Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
A. P. Balachandran, T. R. Govindarajan, S. Vaidya
We analyse aspects of symmetry breaking for Moyal spacetimes within a quantisation scheme which preserves the twisted Poincaré symmetry. Towards this purpose, we develop the LSZ ap…
Statistics and UV-IR Mixing with Twisted Poincare Invariance
A. P. Balachandran, T. R. Govindarajan, G. Mangano +3
We elaborate on the role of quantum statistics in twisted Poincare invariant theories. It is shown that, in order to have twisted Poincare group as the symmetry of a quantum theory…