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arXiv · 2408.06055

Quantum Complexity of $T\bar{T}$-deformation and Its Implications

Amin Faraji Astaneh
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Abstract

We employ holography to calculate the quantum complexity of $T\bar{T}$-deformation, utilizing the complexity equals volume (CV) and the complexity equals action (CA) proposals within the bulk spacetime with a finite radius cutoff. We find that the complexity of the deformed theory differs from the renormalized complexity of the original theory by a geometric functional: the bending (Willmore) energy of the time-constant slice of the base manifold. We use this result to propose an unambiguous scheme for calculating holographic quantum complexity through the CA proposal.

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Amin Faraji Astaneh. 2024-08-12. Quantum Complexity of $T\bar{T}$-deformation and Its Implications. https://arxiv.org/abs/2408.06055

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