Question

Why do we study the five dimensional Schwarzschild AdS Black Hole in AdS/CFT? Does it have to do with the symmetries that these theories have?

Options:
A) Yes, the study is motivated by the symmetries inherent in AdS/CFT, where the five-dimensional Schwarzschild AdS Black Hole is a crucial example.
B) No, the study of this specific black hole is unrelated to the symmetries within AdS/CFT, but rather because it represents a fundamental solution in five-dimensional spacetime.
C) Partially, but the primary reason for studying this black hole in the context of AdS/CFT is its correspondence to the behavior of certain boundary quantum field theories.
D) No, the study of the five-dimensional Schwarzschild AdS Black Hole doesn’t significantly correlate with the symmetries in AdS/CFT but rather serves as a comparison to other black hole solutions.

Answer 1

The study of the five-dimensional Schwarzschild AdS Black Hole in AdS/CFT is motivated by the symmetries of the theories and their correspondence to certain boundary quantum field theories.

Step-by-step explanation:

We study the five-dimensional Schwarzschild Anti-de Sitter (AdS) Black Hole in AdS/CFT correspondence because it is a crucial example motivated by the symmetries inherent in these theories. In particular, the study of this specific black hole is closely related to the symmetries within the AdS/CFT framework, which posits a duality between a gravity theory in AdS space and a Conformal Field Theory (CFT) on the boundary of this space. The correspondence between the five-dimensional Schwarzschild AdS Black Hole and certain boundary quantum field theories is a fundamental aspect that makes studying this subject essential for understanding the dynamics and thermodynamics of these field theories through their gravitational duals.