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

Amin Faraji Astaneh

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.06055 v3 pith:PK6ZVLB4 submitted 2024-08-12 hep-th gr-qc

Amin Faraji Astaneh This is my paper · ORCID

classification hep-thgr-qc

keywords complexityquantumdeformationequalstheoryactionbasebending

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

$T\bar{T}$ deformation and multiple-flavor Lorentzian threads
hep-th 2026-07 conditional novelty 5.0 of 10

TTbar-induced corrections to complexity=anything expand into generalized Willmore functionals that admit a local multi-flavor Lorentzian-thread decomposition by curvature sector.

Pith tools