Step 1: Concept Identification:
The query seeks the more widely recognized name for the Ilbary dynasty, which governed the Delhi Sultanate.
Step 2: Explanation:
The Mamluk Dynasty, which held sway over the Delhi Sultanate from 1206 to 1290, is predominantly referred to as the Slave Dynasty. The term "Ilbary dynasty" specifically denotes the lineage of Iltutmish, a significant ruler from this dynasty who originated from the Ilbary tribe of Turks. Given that numerous early rulers of this dynasty, including its founder Qutb al-Din Aibak and Iltutmish, were of slave (mamluk) origin, the dynasty as a whole is popularly known as the Slave Dynasty.
Step 3: Conclusion:
The Ilbary dynasty is widely recognized as The Slave Dynasty.