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CDT and Horava-Lifshitz QG in Two Dimensions

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Yuki Sato

High Energy Physics - Theory · Submitted 7 Dec 2022

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The continuum theory is known to be two-dimensional projectable Horava-Lifshitz quantum gravity ($2$d projectable HL QG).

how it is stated · asserted 1.00 read the record →

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arXiv ID2212.03446 (version 4)
Pith IDXR7BYXEB, Pith's permanent record of this paper and its review
CitationYuki Sato. "CDT and Horava-Lifshitz QG in Two Dimensions." arXiv:2212.03446 (2022). https://pith.science/paper/XR7BYXEB
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,557 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

The two-dimensional causal dynamical triangulations ($2$d CDT) is a lattice model of quantum geometry. In $2$d CDT, one can deal with the quantum effects analytically and explore the physics through the continuum limit. The continuum theory is known to be two-dimensional projectable Horava-Lifshitz quantum gravity ($2$d projectable HL QG). In this chapter, we wish to review the very relation between $2$d CDT and $2$d projectable HL QG in detail.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The two-dimensional causal dynamical triangulations ($2$d CDT) is a lattice model of quantum geometry. background 0.99 0.05 0.03 asserted 1.00
s1 In $2$d CDT, one can deal with the quantum effects analytically and explore the physics through the continuum limit. background 0.70 0.18 0.05 hedged possibility 0.75
s2 The continuum theory is known to be two-dimensional projectable Horava-Lifshitz quantum gravity ($2$d projectable HL QG). background 0.81 0.07 0.49 asserted 1.00
s3 In this chapter, we wish to review the very relation between $2$d CDT and $2$d projectable HL QG in detail. contribution 0.86 0.18 0.07 unclear 0.79

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.71.

What was examined, and what was not

sources read
  • arXiv listing abstract v4
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The two-dimensional causal dynamical triangulations ($2$d CDT) is a lattice model of quantum geometry. In $2$d CDT, one can deal with the quantum effects analytically and explore the physics through the continuum limit. The continuum theory is known to be two-dimensional projectable Horava-Lifshitz quantum gravity ($2$d projectable HL QG). In this chapter, we wish to review the very relation between $2$d CDT and $2$d projectable HL QG in detail.

Human review

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How the literature uses it

2 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

What it cites · 25 sentences without a confident label

Uses the method or tool of 2 papers
Compares with 1 paper
Cites as support 7 papers
  • It has been shown in Ref. [ref] that the resulting continuum theory is known to be in the same universality class of projectable Hořava-Lifshitz quantum gravity (projectable HL QG) [ref] in two dimensions, which is different from the Liouville quantum gravity [In fact, it has been shown that a direct lattice discretization of $2$d projectable HL gravity, which has a lattice action different from that of $2$d CDT, reproduces the same large-scale physics in the continuum limit [ref] .].

    Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation · Introduction · 1.00

  • It has been shown in Ref. [ref] that the resulting continuum theory is known to be in the same universality class of projectable Hořava-Lifshitz quantum gravity (projectable HL QG) [ref] in two dimensions, which is different from the Liouville quantum gravity [In fact, it has been shown that a direct lattice discretization of $2$d projectable HL gravity, which has a lattice action different from that of $2$d CDT, reproduces the same large-scale physics in the continuum limit [ref] .].

    2d CDT is 2d Horava-Lifshitz quantum gravity · Introduction · 1.00

  • It has been shown in Ref. [ref] that the resulting continuum theory is known to be in the same universality class of projectable Hořava-Lifshitz quantum gravity (projectable HL QG) [ref] in two dimensions, which is different from the Liouville quantum gravity [In fact, it has been shown that a direct lattice discretization of $2$d projectable HL gravity, which has a lattice action different from that of $2$d CDT, reproduces the same large-scale physics in the continuum limit [ref] .].

    Quantum Gravity at a Lifshitz Point · Introduction · 1.00

Cites as background 7 papers
  • Let us overview the quantization of $2$d projectable HL gravity shown in Ref. [ref] (see also Ref. [ref] for another article examining this issue).

    2d CDT is 2d Horava-Lifshitz quantum gravity · Quantization · 0.87

  • Let us overview the quantization of $2$d projectable HL gravity shown in Ref. [ref] (see also Ref. [ref] for another article examining this issue).

    Quantization of (1+1)-dimensional Ho\v{r}ava-Lifshitz theory of gravity · Quantization · 0.87

  • This model is invariant only under the subclass of diffeomorphisms that respects the foliation, known as the foliation-preserving diffeomorphisms[At the cost of full diffeomorphism invariance, HL QG has been designed originally as a model of quantum gravity in higher dimensions such that it has a good convergence at UV in keeping with unitarity, and would approximately recover the diffeomorphism invariance at IR [ref] ]. $2$d projectable HL QG is a certain version of HL QG where a part of the time-time component of the metric called the lapse function is projectable, i.e. a function only of time.

    Quantum Gravity at a Lifshitz Point · Introduction · 0.94

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