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Monotonicity of renormalization group flow, Perelman's entropy functional, and emergent dual holography in the worldsheet nonlinear $\sigma$ model
Based on the renormalization group (RG) flow of worldsheet bosonic string theory, we construct an effective holographic dual description, where an extra dimension is identified with an RG scale. As a result, we obtain a dilaton-gravity effective theory for the dynamics of an emergent target spacetime, analogous to the low-energy …