A unified tau cover and Virasoro constraints for Drinfeld-Sokolov hierarchies over arbitrary affine Kac-Moody algebras yield Painleve-type equations with affine Weyl group actions.
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Virasoro Constraints for Drinfeld-Sokolov hierarchies and equations of Painlev\'{e} type
A unified tau cover and Virasoro constraints for Drinfeld-Sokolov hierarchies over arbitrary affine Kac-Moody algebras yield Painleve-type equations with affine Weyl group actions.