Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with links to lowest Landau level algebra.
CP^n, or, entanglement illustrated
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abstract
We show that many topological and geometrical properties of complex projective space can be understood just by looking at a suitably constructed picture. The idea is to view CP^n as a set of flat tori parametrized by the positive octant of a round sphere. We pay particular attention to submanifolds of constant entanglement in CP^3 and give a few new results concerning them.
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Zero modes of non-abelian Dirac operator in topologically non-trivial band insulator
Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with links to lowest Landau level algebra.