BUDAPEST — Ivan Fischer is best known as a first-class conductor whose Budapest Festival Orchestra has entranced audiences worldwide. Last week, Mr. Fischer took on a new role — social critic — when the orchestra gave the premiere of an opera he had composed as a rebuke to what he and others see as growing tolerance for anti-Semitism in today’s Hungary.

Based on an infamous 19th-century case in which a group of Jews were wrongly accused in the death of a Hungarian peasant girl, Mr. Fischer’s opera, “The Red Heifer,” is a vivid display of how cultural figures have emerged as some of the most vocal critics of Hungary’s rightward and authoritarian drift under Prime Minister Viktor Orban.

At a time when the traditional left-wing political opposition is hobbled by corruption scandals and its Communist past, Mr. Fischer is among a growing group of artists challenging a government that has tested the ideals of the European Union. The others include the pianist Andras Schiff and a popular theater director, Robert Alfoldi, who was ridiculed by right-wing politicians for his homosexuality.

The tensions in Hungary come as many right-wing parties are on the rise across the Continent and cultural figures from France to Greece to Eastern Europe are starting to respond. At the same time, many former Soviet countries are wrestling with their identities, pulled between the market and social forces of the West and deeply rooted national tendencies.