Holography, particularly the AdS/CFT correspondence, is a powerful theoretical framework linking gravitational theories in Anti-de Sitter (AdS) space to lower-dimensional conformal field theories (CFTs). This duality provides a tool to study quantum gravity and strongly coupled quantum systems using more manageable quantum field theories.​​ Our group leverages collective field theory to investigate how spacetime can emerge from the dynamics of a boundary conformal field theory (CFT). In the large-N limit of vector or matrix models, the standard degrees of freedom reorganize into collective variables—often interpreted as bulk fields—providing a natural language for emergent geometry.

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We also focus on the Sachdev-Ye-Kitaev (SYK) model and its various deformations as a holographic dual model for black hole. The SYK model’s solvable large-N limit, rich entanglement structure, and maximal chaos make it an ideal testbed for understanding how a black hole geometry emerges from a strongly correlated quantum system. Building on recent progress in SYK model, our research explores degrees of freedom beyond the black hole horizon, seeking a consistent bulk description that captures both the exterior and interior regions of black hole horizon.