{"arxiv_id":"hep-th/9805145","incoming":{"papers":70,"sentences":133,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1910.04181","title":"Hunting for fermionic instabilities in charged AdS black holes","url":"/paper/1910.04181","section":"Introduction","sentence":"Namely, the authors of [ref] [See also Ref. [ref] , which appeared after the present manuscript was submitted to the ArXiv.] missed that the vanishing energy flux boundary conditions at the asymptotic boundary of AdS $-$ that they propose to be “novel\" $-$ are nothing else but the AdS/CFT correspondence no-source boundary conditions $-$ often denoted as `standard' or, if allowed, `alternative' quantizations (discussed, for $s=1/2$, originally in [ref] and specially in [ref] ; this discussion applies both to bosonic and fermionic fields).","intent_p":0.99,"contests_p":0.91}]},{"kind":"extends","label":"Builds on it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1003.5729","title":"Gravity Dual for a Model of Perception","url":"/paper/1003.5729","section":"Sample computation","sentence":"Our following computation is a generalization of that in [ref] for $m_0 ≠m$,","intent_p":0.99,"contests_p":null},{"arxiv_id":"0903.2596","title":"Real-time response in AdS/CFT with application to spinors","url":"/paper/0903.2596","section":"Retarded correlators for fermionic operators","sentence":"We first consider the calculation of Euclidean functions in an asymptotic AdS geometry, reviewing (and slightly generalizing) the earlier results of [ref] .","intent_p":0.88,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":11,"sentences":12,"quotes":[{"arxiv_id":"2005.00292","title":"Compactified Spacelike Extra Dimension & Brane-Higgs Field","url":"/paper/2005.00292","section":"Introduction","sentence":"For that purpose, we have to introduce Henningson-Sfetsos boundary terms [ref] at both sides of a brane.","intent_p":0.97,"contests_p":null},{"arxiv_id":"1103.0610","title":"An Optical Geometry Perspective on the Emerging Conformal Field Theory Behavior on the Cosmological Event Horizon: Massless Fermions on de Sitter Space","url":"/paper/1103.0610","section":"The emergence of CFT behavior on de Sitter horizon","sentence":"In order to evaluate the kernel $G(x, x^')$ we need the following Fourier transform [ref] [equation] where $r = |x|$.","intent_p":0.88,"contests_p":null},{"arxiv_id":"1108.5607","title":"Boundary CFT from Holography","url":"/paper/1108.5607","section":"Correlation functions of fermions","sentence":"Using the equation of motion one finds [ref] [ To be specific we assume $m>0$.] ψ^-=∫d^dk/(2π)^d e^-ik·X⃗ z^(d+1)/2 K_m+1/2(kz)a^-(k), ψ^+=∫d^dk/(2π)^d e^-ik·X⃗ z^(d+1)/2 K_m-1/2(kz)a^+(k), where $a^±(k)$ are arbitrary spinors satisfying $γ_za^±(k)=±a^±(k)$.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1110.5075","title":"Hidden-sector current-current correlators in holographic gauge mediation","url":"/paper/1110.5075","section":"Spinor current","sentence":"The non-vanishing components of spin connection are [equation] and so the equation of motion resulting from this action is [equation] Following [ref] , we apply $^m∂_m$, giving [equation] Writing $λ$ as [equation] we get the solutions [equation] in which $λ_(0)$ and $λ_(2)$ are undetermined, $λ̃_(0)=0$ and for $n>0$, [equation] Similarly $λ_(0)$ and $λ̃_(0)$ are (for the moment) unfixed and [equation] Writing $λ_=u^3/4χ_$ and $λ_=u^5/4χ_$, the Dirac equation [ref] gives the (not independent) relations [equation] Matching coefficients [equation] The spinor current $j$ on the boundary couples to $λ_$.","intent_p":0.93,"contests_p":null},{"arxiv_id":"0903.4818","title":"Nucleon electromagnetic and gravitational form factors from holography","url":"/paper/0903.4818","section":"The Model","sentence":"Following [ref] , we add extra term in the UV-boundary 1/2∫d^d x √(-g^(d)) (Ψ̅_L Ψ_R +Ψ̅_R Ψ_L)_ε.","intent_p":0.9,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":9,"sentences":13,"quotes":[{"arxiv_id":"1607.03763","title":"Twistor methods for AdS$_5$","url":"/paper/1607.03763","section":"Spinors","sentence":"This expression can be made equal to the standard formula for the spinor bulk-to-boundary propagator [ref] after performing normalized gamma matrix contractions.","intent_p":0.91,"contests_p":null},{"arxiv_id":"0905.2607","title":"Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles","url":"/paper/0905.2607","section":"Conclusions","sentence":"The phase agrees with that of [ref] and the CFT tensor structure [ref] is reproduced upon combining the transverse and longitudinal components.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1912.00952","title":"Bulk reconstruction for spinor fields in AdS/CFT","url":"/paper/1912.00952","section":"AdS$_odd$","sentence":"Using the projection operator $P_±= 1/2(1 ±γ)$, where $γ$ is the chirality matrix [ref], we can summarize the results as [equation] This computation confirms that the application of our smearing functions correctly reproduces the known results of [ref] , which have been obtained through different methods.","intent_p":0.93,"contests_p":null},{"arxiv_id":"2408.00074","title":"Loops, Recursions, and Soft Limits for Fermionic Correlators in (A)dS","url":"/paper/2408.00074","section":"3-pt Function","sentence":"and it can be easily verified that our results are in agreement by restricting to axial gauge in the computation of [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1004.2497","title":"Antisymmetric tensors in holographic approaches to QCD","url":"/paper/1004.2497","section":"Comparison with vector fields","sentence":"The equations of motion applied to Eq. ([ref]) read [equation] while the consistency condition $d ^*V=0$, in components, takes the form [equation] Splitting $V_M$ into $V_μ$ and $V_5$ the equations of motion read [equation] [equation] which can be shown to be in agreement with [ref] .","intent_p":0.95,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":20,"sentences":23,"quotes":[{"arxiv_id":"2210.16845","title":"Dressing bulk spinor fields in AdS${}_3$","url":"/paper/2210.16845","section":"Background","sentence":"If in the CFT we have a primary fermion operator $ψ_+$ of dimension $(h,h+1/2)$ , then we can build a free bulk Dirac fermion field with mass $m=Δ-1=2h-1/2$, $Ψ=[ Ψ_-; Ψ_+ ]$ with [ref] (For the Euclidean version see [ref] )","intent_p":0.8,"contests_p":null},{"arxiv_id":"1202.1528","title":"Boundary Terms, Spinors and Kerr/CFT","url":"/paper/1202.1528","section":"Introduction","sentence":"Let's recapitulate some highlights for spinor fields in AdS/CFT, which will become handy later on (see [ref] , [ref] , [ref] , [ref] for more details).","intent_p":1.0,"contests_p":null},{"arxiv_id":"0903.2596","title":"Real-time response in AdS/CFT with application to spinors","url":"/paper/0903.2596","section":"Pure AdS","sentence":"The Euclidean vacuum two-point function for a spinor operator $$ in a CFT, which is dual a fermonic field $ψ$ in a pure AdS, was obtained in closed form before in [ref] (see also [ref] ).","intent_p":0.82,"contests_p":null},{"arxiv_id":"0905.2607","title":"Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles","url":"/paper/0905.2607","section":"Literature overview","sentence":"In particular, the AdS/CFT correspondence for a massive vector field is beautifully treated in [ref] , along with the fermion case (see also [ref] ) and vector-spinor interactions.","intent_p":0.81,"contests_p":null},{"arxiv_id":"2011.07039","title":"Fermionic Open EFT from Holography","url":"/paper/2011.07039","section":"Fermions in AdS/CFT","sentence":"The discussion of the AdS/CFT correspondence for spinors that we present here closely follows the original references on the subject [ref] .","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":82},"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":{"arxiv_id":"hep-th/9805145","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T19:27:15+00:00","loaded_at":"2026-10-28T01:03:29.031373+00:00","evidence":"substantial","account":[],"groups":[{"kind":"extends","label":"Builds on it","papers":1,"entries":[{"p":0.99,"quote":null,"citing":[{"self":false,"year":2010,"title":"Gravity Dual for a Model of Perception","arxiv_id":"1003.5729"}],"verified":true,"paraphrase":"Generalized this paper's computation to the case m_0 ≠ m."}],"papers_all":2,"self_papers":0,"self_entries":[]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"entries":[{"p":0.93,"quote":null,"citing":[{"self":false,"year":2011,"title":"Hidden-sector current-current correlators in holographic gauge mediation","arxiv_id":"1110.5075"}],"verified":true,"paraphrase":"Followed this paper in applying a derivative to obtain the Dirac equation solutions."}],"papers_all":12,"self_papers":0,"self_entries":[]},{"kind":"comparison","label":"Compares with it","papers":3,"entries":[{"p":0.97,"quote":{"text":"and it can be easily verified that our results are in agreement by restricting to axial gauge in the computation of [ref] .","citing":"2408.00074","section":"3-pt Function"},"citing":[{"self":false,"year":2024,"title":"Loops, Recursions, and Soft Limits for Fermionic Correlators in (A)dS","arxiv_id":"2408.00074"}],"verified":true,"paraphrase":"Found its own results in agreement with this paper's computation when restricting to axial gauge."},{"p":0.95,"quote":null,"citing":[{"self":false,"year":2010,"title":"Gauge invariant approach to low-spin anomalous conformal currents and shadow fields","arxiv_id":"1011.4261"}],"verified":true,"paraphrase":"Found its own normalization factor coincides with the one found in this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2011,"title":"Anomalous conformal currents, shadow fields and massive AdS fields","arxiv_id":"1110.3749"}],"verified":true,"paraphrase":"Found its own normalization factors for s=1 and s=2 coincide with those obtained in this paper and another work."}],"papers_all":9,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":2,"contests":1,"comparison":9,"method_or_tool":12},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":13,"self_papers":0,"citing_papers":76,"sentences_read":19,"citing_sentences":140,"unambiguous_read":19,"typed_independent":23,"independent_papers":76,"by_kind_independent":{"extends":2,"contests":1,"comparison":9,"method_or_tool":12}},"input_sha256":"8516dcc6631aea0ed7b6d3e22997785ecc11a812086f6d85740f482db2a00974","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. 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":"5 later papers by other authors are listed below: 1 built on it, 1 used its method or tool and 3 compared their own results with it."},"_links":{"html":"https://pith.science/paper/hep-th/9805145"}}