{"arxiv_id":"hep-th/0205188","incoming":{"papers":17,"sentences":27,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":4,"sentences":5,"quotes":[{"arxiv_id":"1003.5500","title":"Kaluza-Klein two-brane-worlds cosmology at low energy","url":"/paper/1003.5500","section":"Low energy effective theory for higher-dimensional two brane worlds","sentence":"In this section, we derive the low energy effective theory for higher-dimensional two branes system solving the bulk geometry formally in the gradient expansion approximation developed by Kanno and Soda [ref] (see also [ref] ).","intent_p":0.99,"contests_p":null},{"arxiv_id":"0708.2534","title":"Low energy effective theory on a regularized brane in six-dimensional flux compactifications","url":"/paper/0708.2534","section":"Gradient expansion approach","sentence":"We employ the gradient expansion approach to solve the 6D bulk geometry [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2306.16018","title":"Holography for the Trace Anomaly Action","url":"/paper/2306.16018","section":"The Riegert action from $AdS_5$","sentence":"We will follow Kanno and Soda [ref] to integrate out the 5D bulk.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0710.2539","title":"Low energy effective theory on a regularized brane in 6D gauged chiral supergravity","url":"/paper/0710.2539","section":"Introduction","sentence":"We use the gradient expansion technique to solve the six-dimensional geometry assuming that the deviation from the static solution is small [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1004.2477","title":"A four-dimensional description of five-dimensional N-brane models","url":"/paper/1004.2477","section":"Overview of the Method and Results","sentence":"Our method has similarities to the gradient expansion method of Kanno and Soda [ref] .","intent_p":0.93,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"2206.14650","title":"Transport coefficients associated to black holes on the brane: analysis of the shear viscosity-to-entropy density ratio","url":"/paper/2206.14650","section":"Scrutinizing the $β$ parameter","sentence":"In the original Randall–Sundrum braneworld models, the Planck length, $ℓ_p$ (for $8πG_4 = ℓ_p^2$, where $G_4$ is the 4D Newton constant), is related to the 5D fundamental gravitational length $ℓ_5$ by $ℓ^2_p = σℓ^3_5$ [ref] , where $σ$ is the brane tension.] [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"0707.4510","title":"Kaluza-Klein braneworld cosmology with static internal dimensions","url":"/paper/0707.4510","section":"Conclusion","sentence":"It is also important to understand the low energy description of the Kaluza-Klein braneworld [ref] and the Kaluza-Klein corrections [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1103.1703","title":"Kaluza-Klein brane cosmology with a bulk scalar field","url":"/paper/1103.1703","section":"Introduction","sentence":"The various properties and characteristics of the RS model have been extensively analyzed: the cosmology framework [ref] , the low energy effective theory [ref] , the black hole physics [ref] , and the Lorentz violation [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1003.5500","title":"Kaluza-Klein two-brane-worlds cosmology at low energy","url":"/paper/1003.5500","section":"Introduction","sentence":"The various properties and characteristics of the RS model have been extensively analyzed: the cosmology framework [ref] , the low energy effective theory [ref] , black hole physics [ref] , the Lorentz violation [ref] , etc.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2205.15500","title":"Brane Dynamics of Holographic BCFTs","url":"/paper/2205.15500","section":"Island/BCFT correspondence in higher dimensions","sentence":"This description is qualitatively expected from the brane-world holography [ref] and has been beautifully applied to the black hole information problem in the light of the Island formula [ref] .","intent_p":0.83,"contests_p":null}]}],"unlabelled_sentences":16},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/0205188"}}