Once synonymous with barely-there tops paired with low-rise skirts and jeans, the halter top was the ultimate going-out staple for early 2000s “It” girls channeling “Sex and the City.” In recent seasons, the silhouette has staged a steady return, evolving into its most polished era yet. Today’s new wave of halter tops feels grown-up and refined, reimagined in sleek, streamlined shapes that have become fixtures everywhere from the runway to the red carpet — and across the vacation wardrobes defining Euro-summer style. Last summer, the halter top soft-launched its more elevated era, emerging in sleek neutral-toned tops and dresses alongside polished, silky bandana-inspired styles. Fashion insiders and models off-duty — including Bella Hadid — co-signed the trend in streamlined black iterations that subtly nodded to the silhouettes of the ’90s and early 2000s. This season, the halter top is leaning even further into sophistication, with brands such as Toteme, St.…