{"arxiv_id":"hep-th/9612128","incoming":{"papers":75,"sentences":155,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1004.1296","title":"Notes on Operator Equations of Supercurrent Multiplets and the Anomaly Puzzle in Supersymmetric Field Theories","url":"/paper/1004.1296","section":"Central extension of $N=1$ algebra and BPS domain walls","sentence":"Let us apply the above formulation to the case of $N=1$ pure $SU(N)$ Yang-Mills [ref] .","intent_p":0.88,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0908.4122","title":"SO(10) domain-wall brane models","url":"/paper/0908.4122","section":"The Dvali-Shifman domain-wall brane setup","sentence":"In particular, the requirement that massless gauge bosons be dynamically localised to the wall is most plausibly met by invoking the Dvali-Shifman mechanism [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2004.11232","title":"How $\\mathcal N=1$, $D=4$ SYM domain walls look like","url":"/paper/2004.11232","section":"BPS domain wall solutions sourced by the membrane in the VY effective theory","sentence":"We look for solutions of [ref] which describe BPS domain walls that preserve 1/2 supersymmetry and interpolate between two vacua, which are reached as $x^3→-∞$ and $x^3→+∞$ and are separated by the membrane, i.e. [equation] To this end we follow the well known method (see e.g. [ref] ).","intent_p":0.98,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":4,"quotes":[{"arxiv_id":"2407.06252","title":"Spontaneous CP Breaking in a QCD-like Theory","url":"/paper/2407.06252","section":"$F=1, N=2$: Exact Results Again","sentence":"Note also that in the supersymmetric limit $m→0$, the tension $T=8 m_Q^1/2 |Λ|^5/2$ agrees exactly with the tension of the BPS saturated domain-wall [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0709.3269","title":"Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions","url":"/paper/0709.3269","section":"Domain wall tensions and area law of confinement","sentence":"Hence, [equation] Restoring the dimensions and using the one-loop renormalization group result for the strong scale, we obtain [equation] Note that, for $n_f=1$, this gives a new derivation of the domain wall tension in $N=1$ SYM, a result obtained earlier by Dvali and Shifman [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1506.06035","title":"Five-Dimensional Gauge-Higgs Unification: A Standard Model-Like Spectrum","url":"/paper/1506.06035","section":"The Higgs Phase","sentence":"This mechanism is reminiscent of [ref] .","intent_p":0.88,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1003.1985","title":"Solitonic Brane Inflation","url":"/paper/1003.1985","section":"Introduction","sentence":"Thick branes also demonstrate the required ability to trap particles, as matter fields in the presence of the solitonic background have been shown to possess eigenstates localized around the brane [ref]","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":26,"sentences":32,"quotes":[{"arxiv_id":"0807.4578","title":"Domain walls and gauge field localization in strongly-coupled pure Yang-Mills theories","url":"/paper/0807.4578","section":"Introduction","sentence":"Some time ago, Dvali and Shifman proposed a field-theoretic mechanism for the localization of a gauge field on a hypersurface (brane) embedded in higher dimensional spacetime (bulk) [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"0710.5051","title":"Localization of Gauge Fields and Monopole Tunnelling","url":"/paper/0710.5051","section":"Conclusions","sentence":"This paper was devoted to the investigation of the duality between the gauge-field localization mechanism of [ref] and the physics of the Josephson junction.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1905.02743","title":"Supermembranes and domain walls in $\\mathcal N=1$, $D=4$ SYM","url":"/paper/1905.02743","section":"Introduction","sentence":"In particular, an $𝒩=1$ SYM theory with a gauge group $SU(N)$ has $N$ degenerate supersymmetric vacua associated with different values of the gluino condensate, as was first conjectured in [ref] .[To be concrete, in this paper we will deal with the unitary gauge groups $G=SU(N)$, though the obtained results are valid for a generic simply connected $G$, in which case the number of SYM vacua is equal to the dual Coxeter number $h(G)$ of the gauge group $G$.] As such, there should exist domain wall configurations of SYM fields which interpolate between spatial regions of the theory with two different vacua and preserve one-half of $𝒩=1$, $D=4$ supersymmetry (so called 1/2 BPS domain walls) [ref] .[Generic properties of BPS domain walls in $N=1$, $D=4$ supersymmetric theories (and of other extended solitons in various dimensions) were considered earlier in [ref] .] The domain walls in pure S","intent_p":0.84,"contests_p":null},{"arxiv_id":"0807.1908","title":"Confinement and Localization on Domain Walls","url":"/paper/0807.1908","section":"Conceptual aspects","sentence":"The basic idea of the gauge field localization suggested in [ref] assumes that the bulk four-dimensional theory is in the confining regime while inside the 1+2-dimensional wall we have “less confinement\" (or no confinement at all).","intent_p":0.93,"contests_p":null},{"arxiv_id":"1507.01246","title":"Dynamical Realization of the Brane world Scenario Using Topological Solitons","url":"/paper/1507.01246","section":"Dvali-Shifman mechanism","sentence":"An idea, widely recognized as a plausible way how to localize gauge fields, was put forward in 1997 by Dvali and Shifman [ref] .","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":115},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[{"relation":"same_result","label":"States the same result","papers":[{"arxiv_id":"0807.4578","url":"/paper/0807.4578","title":"Domain walls and gauge field localization in strongly-coupled pure Yang-Mills theories","main_claim":"We present a mechanism of gauge field localization on a domain wall within the framework of strongly coupled pure Yang-Mills theory.","p":0.91}]}],"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/9612128","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T18:46:02+00:00","loaded_at":"2026-10-28T01:03:16.565141+00:00","evidence":"substantial","account":[],"groups":[{"kind":"extends","label":"Builds on it","papers":1,"entries":[{"p":1.0,"quote":null,"citing":[{"self":false,"year":2016,"title":"Localization of Vector Field on Dynamical Domain Wall","arxiv_id":"1611.10172"}],"verified":true,"paraphrase":"Extended the mechanism of this paper's work on the static four dimensional domain wall to the dynamical domain wall model."}],"papers_all":2,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":2,"comparison":3,"method_or_tool":2,"supports_this_paper":2},"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":20,"self_papers":16,"citing_papers":83,"sentences_read":23,"citing_sentences":178,"unambiguous_read":23,"typed_independent":9,"independent_papers":67,"by_kind_independent":{"extends":2,"comparison":3,"method_or_tool":2,"supports_this_paper":2}},"input_sha256":"d298b9f8830caac6406cdfc14f51bb5d3f1acd28bcd2c925f32a7eccef19bc72","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":"1 later paper by other authors is listed below: 1 built on it."},"_links":{"html":"https://pith.science/paper/hep-th/9612128"}}