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I have learned that the critical exponents for phase transitions is independent of the microscopic structure of the substance and is dependent on the symmetry. For instance the phase transition for a ferromagnetic at the Curie temperature and the phase transition for water at the critical point have the same critical exponents. The ferromagnet has $\mathbb{Z}_2$ symmetry is related to spin up ground state and the spin down ground state. What will be the $\mathbb{Z}_2$ symmetry in water?

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