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near-horizon temperature T_R ≡2 M T_H λ=τ_H 4πλfixed.","intent_p":0.87,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":6,"sentences":7,"quotes":[{"arxiv_id":"1201.3028","title":"Tunneling between single and multi-centered black hole configurations","url":"/paper/1201.3028","section":"The Gravitational Instanton","sentence":"In order to find the gravitational instanton, we first analytically continue the time coordinate to $w = -it$ to obtain a solution to the Euclidean equations of motion: [equation] We then define the coordinate [ref] : [equation] Finally, we can define the coodinates $τ$ and $σ$ (where in the end, we will take $τ$ to be our Euclidean time coordinate): [equation] The relation between the coordinates $(w,y)$ and $(τ,σ)$ are shown in Figure [ref], where the semicircles represent the hypersurfaces of constant $τ$, and $σ$ is the angular coordinate.","intent_p":0.92,"contests_p":null},{"arxiv_id":"1912.13491","title":"On AdS$_7$ stability","url":"/paper/1912.13491","section":"Review of non-perturbative instabilities","sentence":"This was used in [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1101.4254","title":"State Operator Correspondence and Entanglement in AdS_2/CFT_1","url":"/paper/1101.4254","section":"Introduction","sentence":"This can be extended to global AdS$_2$ with the help of the coordinate transformation [ref] : T±σ= 2tan^-1 tanh12 (t ±12 lnr-1r+1) .","intent_p":0.85,"contests_p":null},{"arxiv_id":"2110.03003","title":"Non-supersymmetric AdS$_6$ and the swampland","url":"/paper/2110.03003","section":"D4 nucleation in massive IIA","sentence":"We follow the strategy adopted in [ref] and discuss the instanton brane both as a bounce solution in Euclidean time with $SO(5)$ symmetry in the spirit of [ref] and as a thin wall with $SO(6)$ symmetry separating two vacua in the sense of Coleman-De Luccia [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"0809.3304","title":"Quantum Entropy 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that we are considering is similar to the fragmentation of the $AdS_2 ×S_2$ throats of extremal Reissner-Nordstrom (RN) black holes that was studied in [ref] and [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"2112.03281","title":"An Alliance in the Tripartite Conflict over Moduli Space","url":"/paper/2112.03281","section":"Introduction","sentence":"In Section [ref], we confront these two distances with a distance computed in the literature [ref] using the low-velocity distance.","intent_p":0.86,"contests_p":null},{"arxiv_id":"2205.07382","title":"JT Gravity Coupled to Fermions","url":"/paper/2205.07382","section":"Four dimensional near-extremal black holes","sentence":"There is nothing in our model that corresponds to such excitations, or to the phenomenon exhibited in [ref] , in which a local perturbation of the extremal black hole destroys the $AdS_2$ geometry.","intent_p":0.87,"contests_p":null},{"arxiv_id":"2502.03031","title":"On the Underlying Nonrelativistic Nature of 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processors","url":"/paper/2006.08644","section":"Introduction","sentence":"Our model is inspired by the instability of near-extremal black hole horizons to fragment into $AdS_2$ throats [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2404.07260","title":"Liouville gravity at the end of the world: Deformed defects in AdS/BCFT","url":"/paper/2404.07260","section":"Introduction","sentence":"Thus, in the limit of vanishing cutoff, the dilaton cannot diverge as it approaches the $AdS_2$ boundary, which means this theory cannot be consistently coupled to quantum matter [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2411.11096","title":"An extremal black hole with a unique ground state","url":"/paper/2411.11096","section":"Introduction","sentence":"In fact the semi-classical analysis also indicates the presence of a gap and it has been suggested that Hawking's analysis itself may not be trustable below this gap [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1112.4664","title":"Emergent IR dual 2d CFTs in charged AdS5 black holes","url":"/paper/1112.4664","section":"General philosophy","sentence":"This seems to be consistent with arguments such as AdS$_2$-fragmentation [ref] , AdS$_2$/CFT$_1$ considerations [ref] or the absence of gravitational perturbations preserving the near horizon of 4d extremal Kerr [ref] .[This conclusion is expected to be much more subtle in a generic situation, given the existence of multi-center AdS$_2$ configurations when the cosmological constant vanishes.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":56,"sentences":59,"quotes":[{"arxiv_id":"2010.08761","title":"$R^2$ corrected AdS$_2$ holography","url":"/paper/2010.08761","section":"Background","sentence":"However, AdS$_2$ gravity and its holographic description offer unique challenges compared to its higher dimensional counterparts [ref] 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holes","url":"/paper/1005.4439","section":"Introduction","sentence":"The effect of negative curvature on the stability of CFT's and their AdS/CFT counterparts has been studied from various points of view (see for example [ref] ).","intent_p":1.0,"contests_p":null},{"arxiv_id":"1201.3028","title":"Tunneling between single and multi-centered black hole configurations","url":"/paper/1201.3028","section":"Introduction","sentence":"Gravitational instantons have been found that describe the pair production of Wheeler wormholes [ref] , and the fragmentation of a single charged $AdS_2 ×S_2$ universe into multiple, completely disconnected $AdS_2×S_2$ universes [ref] .","intent_p":0.95,"contests_p":null}]}],"unlabelled_sentences":241},"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 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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. 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A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"2 later papers by other authors are listed below: 1 built on it and 1 compared its own results with it."},"_links":{"html":"https://pith.science/paper/hep-th/9812073"}}