Short answers, pulled from the story.
Prometheus Bound is traditionally attributed to the ancient Greek tragedian Aeschylus, but authorship has been debated since the 19th century. Scholars including Oliver Taplin, Mark Griffith, and M. L. West have argued on linguistic, metrical, and stagecraft grounds that the play may not be by Aeschylus. M. L. West proposed it may be the work of Aeschylus's son Euphorion. No scholarly consensus has been established.
Prometheus Bound depicts the Titan Prometheus chained to a mountain in Scythia as punishment for stealing fire and giving it to humans, defying Zeus. Visitors including the sea-nymphs of Oceanus, the Titan Oceanus himself, and the wandering Io come to the rock. Prometheus refuses to reveal a secret about a marriage that will end Zeus's reign, even after Zeus's messenger Hermes delivers threats. The play ends with Zeus blasting Prometheus into the earth.
Prometheus Bound is thought to have been composed between 479 BC and 424 BC. A reference in lines 363-372 to the eruption of Mount Aetna in 479 BC suggests the play dates from after that event. The play cannot date later than 430 BC because Prometheus Unbound, part of the same trilogy, was parodied in Cratinus' Ploutoi of 429 BC.
Aeschylus made several significant departures from Hesiod's Theogony and Works and Days, written around 700 BC. Hesiod portrays Prometheus as a lowly trickster and does not question whether Zeus's anger was just; Aeschylus frames Prometheus as a human benefactor suffering intolerable injustice. Pandora, who appears in Hesiod's account, is entirely absent from the play. Aeschylus also separated the two punishments, chaining and the eagle, into distinct events rather than one continuous torment.
Prometheus Bound is believed to be the first play in a trilogy called the Prometheia. The other two plays, Prometheus Unbound and Prometheus the Fire-Bearer, survive only in fragments. In Prometheus Unbound, Heracles frees Prometheus and kills the eagle. In Prometheus the Fire-Bearer, Prometheus warns Zeus not to lie with the sea nymph Thetis, eventually leading to Zeus's reconciliation with Prometheus.
Notable modern productions include a 1979 staging by George Eugeniou at Theatro Technis London set in Junta-era Greece, and a 2005 London production at The Sound Theatre with David Oyelowo as Prometheus. A 2013 Getty Villa production used a translation by Joel Agee and ran from the 29th of August to the 28th of September. Translators across the centuries include Elizabeth Barrett Browning, Henry David Thoreau, and Percy Bysshe Shelley, who adapted the material for his own play Prometheus Unbound.