{"arxiv_id":"hep-th/0103011","incoming":{"papers":42,"sentences":80,"groups":[{"kind":"extends","label":"Builds on it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2502.00207","title":"Degenerate Domain Walls in Supersymmetric Theories","url":"/paper/2502.00207","section":"SYM on a cylinder: Moduli and symmetries","sentence":"In this section we will derive a full generalization of the Acharya-Vafa formula [ref] while staying in field theory framework.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1910.14086","title":"Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence","url":"/paper/1910.14086","section":"3d $𝒩=1$","sentence":"In particular, starting with a known $𝒩=2$ enhancement point of the $T_𝒩=1[L(p,1)]$ theory [ref] , we propose a quiver description for the $T_𝒩=1[L(p,q)]$ theory.","intent_p":0.8,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1001.3153","title":"Supersymmetric 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Chern-Simons theories $T_𝒩 = 1[L(p,q)]$ the Witten index was computed in [ref] to be I_T^3(T_𝒩 = 1[L(p,q),U(N)]) = p N .","intent_p":0.96,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":6,"sentences":7,"quotes":[{"arxiv_id":"0905.3195","title":"Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM","url":"/paper/0905.3195","section":"Introduction","sentence":"After T-duality this setup bears many similarities with the large-$N$ dual string theory background of [ref] but is not identical to it.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1905.02743","title":"Supermembranes and domain walls in $\\mathcal N=1$, $D=4$ SYM","url":"/paper/1905.02743","section":"Membrane coupled to SYM","sentence":"As we have already mentioned in the Introduction, for $k=1$ the obtained action is level/rank dual [ref] to the Acharya-Vafa [ref] worldvolume theory of the $k=1$ domain wall, but differs from the latter for 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description","sentence":"Holographically, domain walls are described by 5-branes wrapping compact 3-cycles of the internal geometry, with the other three directions being along $ℝ^1,3$ [ref] (see also [ref] for a construction within the KS model).","intent_p":0.83,"contests_p":null},{"arxiv_id":"0807.1908","title":"Confinement and Localization on Domain Walls","url":"/paper/0807.1908","section":"Introduction","sentence":"Localization of gauge fields on domain walls which are supported by some four-dimensional gauge theories is discussed in the literature for a long time [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1904.02722","title":"3D Dualities and Supersymmetry Enhancement from Domain Walls","url":"/paper/1904.02722","section":"Introduction","sentence":"Domain walls in supersymmetric gauge theories were first studied in [ref] , and reviewed in [ref] 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