Abstract
We compute holographic complexity for the non-supersymmetric Janus deformation of AdS$_5$ according to the volume conjecture. The result is characterized by a power-law ultraviolet divergence. When a ball-shaped region located around the interface is considered, a sub-leading logarithmic divergent term and a finite part appear in the corresponding subregion volume complexity. Using two different prescriptions to regularize the divergences, we find that the coefficient of the logarithmic term is universal.
Highlights
A major role in the development of theoretical physics in the last decade was played by the anti–de Sitter (AdS)=conformal field theories (CFTs) correspondence; the most studied example being the duality between N 1⁄4 4 super Yang-Mills (SYM) theory with gauge group SUðNÞ and type IIB string theory on AdS5 × S5 [1]
It was recently argued that the evolution of the Einstein-Rosen Bridge (ERB) cannot be captured by entropy, since it grows for a much longer timescale compared to the thermalization time
A common feature of geometrical objects defined via the AdS=CFT correspondence is the existence of UV divergences that need to be regularized to describe physically meaningful quantities
Summary
A major role in the development of theoretical physics in the last decade was played by the AdS=CFT correspondence; the most studied example being the duality between N 1⁄4 4 super Yang-Mills (SYM) theory with gauge group SUðNÞ and type IIB string theory on AdS5 × S5 [1]. Boundaries, defects, and interfaces have many applications both from a theoretical and phenomenological point of view They constitute a simple path to bridge the gap between highly symmetric models studied in the context of the AdS=CFT duality and more physically realistic systems. It is enticing to think of using defects as possible means to distinguish between the volume and the action proposals mentioned above This route was taken in [54], where the CA and CV conjectures were inspected in the case of a bottom-up Randall-Sundrum type model [55] of a thin AdS2 brane embedded in AdS3 spacetime. In [58], volume complexity was computed for a defect theory consisting of a Janus deformation of AdS3 spacetime.
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