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Using large-scale quantum Monte Carlo simulations we study bosons hopping ona triangular lattice with nearest (V) and next-nearest (V') neighbor repulsiveinteractions. In the limit where V=0 but V' is large, we find an example of anunusual period-three striped supersolid state that is stable at 1/2-filling. Wediscuss the relationship of this state to others on the rich ground-state phasediagram, which include a previously-discovered nearest-neighbor supersolid, auniform superfluid, as well as several Mott insulating phases. We study severalsuperfluid- and supersolid-to-Mott phase transitions, including one proposed bya recent phenomenological dual vortex field theory as a candidate for an exoticdeconfined quantum critical point. We find no examples of unconventionalquantum criticality among any of the interesting phase transitions in themodel.Comment: 10 pages, 11 figures: new data for superfluid density anisotrop

Striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice