{"arxiv_id":"hep-th/0004092","incoming":{"papers":51,"sentences":115,"groups":[{"kind":"extends","label":"Builds on it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2409.15419","title":"Orthosymplectic Quotient Quiver Subtraction","url":"/paper/2409.15419","section":"Derivation of Orthosymplectic Quotient Quivers","sentence":"In [ref] , a set of Type IIA brane configurations involving negatively-charged D6-branes were studied alongside their corresponding electric and magnetic theories [ref] – the following section will derive from these the quotient quivers associated to the gauging of flavour subgroups.","intent_p":0.82,"contests_p":null},{"arxiv_id":"1901.10493","title":"Variations on S-fold CFTs","url":"/paper/1901.10493","section":"Introduction","sentence":"In other words, the $S$-fold CFTs of this class can be obtained by inserting an $S$-duality wall into an appropriate D3 brane segment of the brane systems described in [ref] .","intent_p":0.84,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":4,"quotes":[{"arxiv_id":"1410.1548","title":"T^{\\sigma}_{\\rho}(G) Theories and Their Hilbert Series","url":"/paper/1410.1548","section":"Quiver diagrams for $T^σ⃗_ρ⃗(G)$ with $G$ a classical group","sentence":"Note also that the exotic case dubbed $G=USp'(2N)$ is self-dual: $G^∨=G$.] The quiver for $T^σ⃗_ρ⃗(G)$ can be extracted from the brane construction using standard brane moves [ref] and paying attention to the presence of orientifolds [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1801.01129","title":"The Small $E_8$ Instanton and the Kraft Procesi Transition","url":"/paper/1801.01129","section":"One M5-brane on $D_k$ singularity","sentence":"One can be obtained by using the brane construction involving an O3-plane (see [ref] ): 2 - 2-4 - 4 - ⋯- 2k-10 - 2k-10 - 2k-8 -12k-8 - 2k-7- 2k-8 - ⋯- 2k-7_6 blue nodes & 7 red nodes- 12k-8 - 2k-8 - 2k-10 - 2k-10- ⋯-4 - 4 -2 - 2 The other can be obtained by using the brane construction involving an O5-plane (see [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1403.0585","title":"Coulomb branch Hilbert series and Hall-Littlewood polynomials","url":"/paper/1403.0585","section":"Quiver and mirror theory","sentence":"The mirror theory of this quiver can be determined using brane configurations as in Figure 13 of [ref] ; the quiver diagram is given by [font=] [auto, every node/.style=draw, minimum size=1cm, node distance=1cm];","intent_p":1.0,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2208.07270","title":"Magnetic quivers and negatively charged branes","url":"/paper/2208.07270","section":"Brane creation and annihilation","sentence":"According to [ref] , the charges of the O$p$ planes (in unites of the physical D$p$ branes) are given by [equation]","intent_p":0.83,"contests_p":null},{"arxiv_id":"2004.04082","title":"Magnetic Quivers from Brane Webs with O5 Planes","url":"/paper/2004.04082","section":"Type II brane configurations with 8 supercharges","sentence":"In units of the physical branes, the RR-charges of the planes are as follows [ref] : [equation] As a remark, the NS-charges of the planes are zero.","intent_p":0.82,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":4,"quotes":[{"arxiv_id":"2004.04082","title":"Magnetic Quivers from Brane Webs with O5 Planes","url":"/paper/2004.04082","section":"Single Sp(1) gauge group","sentence":"As detailed below, the finite coupling magnetic quivers agree with the results of [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1011.1911","title":"More Three Dimensional Mirror Pairs","url":"/paper/1011.1911","section":"$D_N$ theory","sentence":"With this construction, We can reproduce the results from [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2110.06940","title":"Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories","url":"/paper/2110.06940","section":"The case $2N-2/(2N-2,p)$ even","sentence":"The corresponding 3d mirror theory mirrorXeven2, with $p=2$, turns out to be coincident with [ref] with $k=x/2$ and $N=x+2$, as it should be.","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":24,"sentences":28,"quotes":[{"arxiv_id":"1912.02773","title":"Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups","url":"/paper/1912.02773","section":"Electric and magnetic quiver","sentence":"To begin with, recall the -- brane configurations of [ref] supplemented by orientifold 3-planes [ref] , which yield $3$d $=4$ world-volume theories with alternating orthogonal and symplectic gauge groups.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1410.1548","title":"T^{\\sigma}_{\\rho}(G) Theories and Their Hilbert Series","url":"/paper/1410.1548","section":"Introduction","sentence":"They are defined in terms of a general set of D3 branes ending on NS5 and D5-branes [ref] , possibly in the presence of O3 planes [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"1803.11205","title":"Quiver Subtractions","url":"/paper/1803.11205","section":"Classical Algebras","sentence":"The Kraft-Procesi transitions described in [ref] for Lie algebras of type $B$, $C$ and $D$ where based on orthosymplectic quivers and their embedding in Type IIB string theory, introduced in [ref] and further refined in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2207.05764","title":"Higgs, Coulomb, and Hall-Littlewood","url":"/paper/2207.05764","section":"The 3d mirrors of class S: a review","sentence":"The $T(G^∨)$ theories, explored in [ref] (see also [ref] ) and many subsequent works, have mirrors $T(G)$, and thus when $G$ is simply-laced they are self-mirror.[We emphasize that the special case of $G = USp'(2n)$ is self-dual: $USp'(2n)^∨= USp'(2n)$.","intent_p":0.83,"contests_p":null},{"arxiv_id":"1707.06941","title":"Nilpotent orbits and the Coulomb branch of $T^\\sigma (G)$ theories: special orthogonal vs orthogonal gauge group factors","url":"/paper/1707.06941","section":"Introduction","sentence":"In [ref] $3d$ $𝒩=4$ quiver gauge theories known as $T_ρ^σ(G)$ theories [ref] were studied for $G$ a classical Lie group of type $A$, $B$, $C$ and $D$.","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":75},"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; 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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. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/0004092"}}