Work

Quantum complexity of $$ T\overline{T} $$-deformation and its implications

Year: 2024
Type: article
Abstract: A bstract We employ holography to calculate the quantum complexity of $$ T\overline{T} $$ T 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.
Language: English
Open Access status: diamond
OpenAlex ID: W4403219180
FWCI:
Cites: 48
Cited by:
Related to: 10