Emergent Spacetime and Holographic CFTs

Understand

We discuss universal properties of conformal field theories with holographic duals.

• A central feature of these theories is the existence of a low-lying sector of operators whose correlators factorize.
• We demonstrate that factorization can only hold in the large central charge limit.
• Using conformal invariance and factorization we argue that these operators are naturally represented as fields in AdS as this makes the underlying linearity of the system manifest.