{"arxiv_id":"hep-th/9608135","incoming":{"papers":11,"sentences":20,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2506.14879","title":"Phase Transitions at Unusual Values of $\\theta$","url":"/paper/2506.14879","section":"Introduction","sentence":"The study reported here generalizes the results of [ref] to $N_F=1,2,3$.","intent_p":1.0,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0909.3781","title":"On Confinement Index","url":"/paper/0909.3781","section":"Abelian dual superconductor and nontrivial vacuum rearrangement","sentence":"Indeed, by further perturbing the system with a much smaller supersymmetry breaking parameter such as a nonvanishing gluino mass, it can be shown explicitly [ref] that the system makes a phase transition from the first supersymmetric vacuum (where the $(1,0)$ field is condensed) to the second (where $(1,-1)$ field is condensed) at $θ=π$ [Here oblique confinement à la 't Hooft mentioned in Section [ref] does not take place: the system is weakly coupled at all values of $θ$.","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2107.02813","title":"The Phases of Non-supersymmetric Gauge Theories: the $SO(N_c)$ Case Study","url":"/paper/2107.02813","section":"Introduction","sentence":"This question was investigated in a series of papers in the late 90's [ref] , by perturbing SUSY gauge theories with soft supersymmetry breaking terms (see also the more recent [ref] ).","intent_p":0.92,"contests_p":null},{"arxiv_id":"1806.09592","title":"Candidate Phases for SU(2) Adjoint QCD$_4$ with Two Flavors from $\\mathcal{N}=2$ Supersymmetric Yang-Mills Theory","url":"/paper/1806.09592","section":"Soft Supersymmetry Breaking","sentence":"The problem of tracking soft supersymmetry-breaking masses along RG flows and across dualities has been thoroughly investigated, see for instance [ref] , and has recently been reinvigorated in the context of three-dimensional dualities [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2506.14879","title":"Phase Transitions at Unusual Values of $\\theta$","url":"/paper/2506.14879","section":"Introduction","sentence":"The non-perturbative nature of the IR dynamics in asymptotically free theories makes the study of the $θ$-dependence particularly hard, and one has to either specialize to supersymmetric [ref] or near-supersymmetric gauge theories [ref] or make use of consistency conditions like anomaly matching [ref] , or of large-$N$ arguments.","intent_p":0.93,"contests_p":null},{"arxiv_id":"2106.10288","title":"Demonstration of Confinement and Chiral Symmetry Breaking in $SO(N_c)$ Gauge Theories","url":"/paper/2106.10288","section":"Introduction","sentence":"For other analyses of non-supersymmetric gauge theories via controlled supersymmetry breaking, see, for example, [ref] , as well as the more recent [ref] .","intent_p":0.9,"contests_p":null}]}],"unlabelled_sentences":14},"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":null,"_links":{"html":"https://pith.science/paper/hep-th/9608135"}}