Pith. sign in

REVIEW 4 cited by

Conformal Boundary Conditions from Cutoff AdS$_3$

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 2010.08504 v1 pith:36NJJ3WG submitted 2020-10-16 hep-th gr-qc

Evan Coleman , Vasudev Shyam This is my paper · ORCID
classification hep-thgr-qc
keywords flowboundaryconditionseuclideanconformaldeformationequationgravity
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We construct a particular flow in the space of 2D Euclidean QFTs on a torus, which we argue is dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow comes from a Legendre transform of the kernel which implements the $T\bar{T}$ deformation, and is motivated by the need for boundary conditions in Euclidean gravity to be elliptic, i.e. that they have well-defined propagators for metric fluctuations. We demonstrate equivalence between our flow equation and variants of the Wheeler de-Witt equation for a torus universe in the so-called Constant Mean Curvature (CMC) slicing. We derive a kernel for the flow, and we compute the corresponding ground state energy in the low-temperature limit. Once deformation parameters are fixed, the existence of the ground state is independent of the initial data, provided the seed theory is a CFT. The high-temperature density of states has Cardy-like behavior, rather than the Hagedorn growth characteristic of $T\bar{T}$-deformed theories.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. York time in JT gravity

    hep-th 2025-05 conditional novelty 7.0 of 10

    In JT gravity, the Hartle-Hawking wavefunction satisfies a Schrodinger equation in York time with a Hermitian squeezing Hamiltonian, and York time evolution is a unitary change of the length basis rather than physical...

  2. Holographic entanglement entropy with conformal boundary conditions

    hep-th 2026-08 conditional novelty 6.0 of 10

    In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.

  3. Wavefunctions of AdS$_3$ Universes and $T\bar{T}$-deformed Torus Partition Functions

    hep-th 2026-08 reject novelty 6.0 of 10

    The paper's central claim of an invertible bulk-boundary transform for T-Tbar deformed torus partition functions is broken by an incorrect inverse kernel and a factor-of-pi normalization inconsistency.

  4. Mixed state entanglement in deformed field theory at finite temperature

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a TTbar-deformed CFT at finite temperature, the EWCS and holographic entanglement negativity both decrease as the deformation parameter grows, just as they do when temperature increases.

Pith tools