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4 papers · 2 filters
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…
Twisted Quantum Fields on Moyal and Wick-Voros Planes are Inequivalent
A. P. Balachandran, M. Martone
The Moyal and Wick-Voros planes A^{M,V}_θ are *-isomorphic. On each of these planes the Poincaré group acts as a Hopf algebra symmetry if its coproducts are deformed by twist facto…
Anti-de Sitter space from supersymmetric gauge theory
Simon Catterall
We construct a four dimensional Yang-Mills theory with twisted supersymmetry whose classical vacua correspond to four dimensional anti-de Sitter space. The theory util…
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…