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Quantum spin liquid phases in the absence of spin-rotation symmetry

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We investigate possible quantum spin liquid phases in the presence of a variety of spin-rotational-symmetry breaking perturbations. Projective symmetry group analysis on slave-particle representations is used to understand possible spin liquid phases on the Kagome lattice. The results of this analysis are used to  make connections to the exiting and future experiments on  Herbertsmithites. Applications to other systems are also discussed.