{"arxiv_id":"hep-th/9505062","incoming":{"papers":283,"sentences":424,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1304.0822","title":"Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2","url":"/paper/1304.0822","section":"Introduction","sentence":"Unfortunately, this was overlooked in [ref] , where we claimed a discrepancy between the so-called $r$-dual theory and the generalized Seiberg dual at large $μ$.[A loophole was the assumption of weak coupling in the regime, which is a continuation of the Argyres-Douglas (AD) points [ref] to large $μ$, while in fact the regime considered was at strong coupling.] Here we correct this claim.","intent_p":1.0,"contests_p":0.93}]},{"kind":"extends","label":"Builds on it","papers":6,"sentences":6,"quotes":[{"arxiv_id":"2408.12703","title":"Generating functions for $\\mathcal{N}=2$ BPS structures","url":"/paper/2408.12703","section":"$𝒩=2$ BPS structures and generating functions","sentence":"We subsequently use and then generalise this concept of the generating function to construct analog generating functions in a class of 4d $𝒩=2$ theories [ref] from which one can observe the wall crossing phenomena [ref] in the same way and that can hence also act as counting functions for BPS states.","intent_p":0.85,"contests_p":null},{"arxiv_id":"1912.01006","title":"4d/2d $\\rightarrow $ 3d/1d: A song of protected operator algebras","url":"/paper/1912.01006","section":"Introduction","sentence":"The goal of this paper is threefold: first, we expand [ref] by numerous examples and applications, verifying and providing alternative arguments for the statements made there; second, we apply it to propose and test previously unknown 3d mirror duals for a class of Argyres-Douglas theories [ref] ; finally, the computations we do serve as consistency checks for the statements previously made in the literature that aims to identify VOAs of certain 4d $=2$ SCFTs [ref] , though we do not consider all examples proposed there.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1602.04817","title":"A search for minimal 4d N=1 SCFT","url":"/paper/1602.04817","section":"Field theory construction","sentence":"The model is obtained by a simple deformation of $A_2$ Argyres-Douglas (AD) theory [ref] .[ Some deformation of $𝒩=2$ AD theory was already considered in [ref] (see also [ref] ).","intent_p":0.87,"contests_p":null},{"arxiv_id":"1910.10151","title":"Proving the 6d Cardy Formula and Matching Global Gravitational Anomalies","url":"/paper/1910.10151","section":"Introduction","sentence":"A similar procedure applied to 4d extends the validity of the 4d proof of [ref] to a larger class of theories that also includes various non-Lagrangian Argyres-Douglas type theories [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0804.1957","title":"Central charges of N=2 superconformal field theories in four dimensions","url":"/paper/0804.1957","section":"$(N)$ Argyres-Douglas points","sentence":"We will first consider a well-known infinite series of superconformal points, which generalizes the original $(3)$ Argyres-Douglas point [ref] to $(N)$ [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":5,"sentences":5,"quotes":[{"arxiv_id":"0809.3238","title":"A counterexample to the a-'theorem'","url":"/paper/0809.3238","section":"Introduction","sentence":"We will employ the method of [ref] for calculating $a$ and $c$ in $=2$ superconformal field theories, known as Argyres-Douglas (AD) points, which are realized as fixed points of $=2$ gauge theories [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2010.06598","title":"Elliptic Loci of SU(3) Vacua","url":"/paper/2010.06598","section":"The $ℤ_3$ vacua","sentence":"Following the logic of [ref] , in this basis the coupling matrix becomes diagonal ($τ_12=0$) and the curve splits into a small and a large torus, parametrized by $τ_11$ and $τ_22$, respectively.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1204.4165","title":"r Duality and \"Instead-of-Confinement\" Mechanism in N=1 Supersymmetric QCD","url":"/paper/1204.4165","section":"Monodromies","sentence":"The method used in [ref] to calculate the quark monodromies was the study of the Seiberg–Witten curve of the theory in the proximity of the Argyres–Douglas points [ref] in $Δm_AB$ variables.","intent_p":0.98,"contests_p":null},{"arxiv_id":"2006.06111","title":"Black Hole Quasinormal Modes and Seiberg-Witten Theory","url":"/paper/2006.06111","section":"Quasinormal modes of Schwarzschild black holes","sentence":"In that perspective it may be useful to compute the quantum periods by using TBA equations as was done in [ref] instead of using the NS free energy.[Note that the Argyres-Douglas point [ref] for the $SU(2)$, $N_f=3$ SW theory is at $m_1=m_2=m_3=Λ_3/8$ and $u=-E=Λ_3^2/32$.","intent_p":0.92,"contests_p":null},{"arxiv_id":"1602.03529","title":"New N = 2 dualities","url":"/paper/1602.03529","section":"flavor central charge","sentence":"The flavor central charge of a subgroup $G'$ of a non-abelian simple flavor group $G$ can be calculated using group representation theory as described in [ref] .","intent_p":0.9,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1608.06635","title":"Kinetic Mixing at Strong Coupling","url":"/paper/1608.06635","section":"Rank One Theories","sentence":"One symptom of this is that for the $H_1$ Argyres-Douglas theory [ref] , for example, the scaling dimension of $u$ is $4/3$, and for the $E_8$ Minahan-Nemeschansky theory [ref] it has scaling dimension $6$.","intent_p":0.88,"contests_p":null},{"arxiv_id":"2408.02953","title":"Large Landscape of 4d Superconformal Field Theories from Small Gauge Theories","url":"/paper/2408.02953","section":"Introduction","sentence":"For the case of $=2$ SCFT, the minimal value of $c$ for an interacting theory is given as $11/30$ [ref] , which is realized by the minimal Argyres-Douglas theory [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1309.5299","title":"Confinement and duality in supersymmetric gauge theories","url":"/paper/1309.5299","section":"Argyres-Douglas theory","sentence":"In Figure [ref] we draw the quiver and the corresponding charge vectors which were determined in [ref] .","intent_p":0.84,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":4,"sentences":6,"quotes":[{"arxiv_id":"1702.05101","title":"Long Multiplet Bootstrap","url":"/paper/1702.05101","section":"A new $=3$ unitarity bound","sentence":"Similar bounds, relying only on the existence of a stress tensor, and the absence of higher spin currents, for theories with $=2$ and $=4$ supersymmetry ($c_4d ⩾1130$ and $c_4d ⩾34$ respectively [ref] ), are saturated by the interacting theories with lowest central charge known in each case: the simplest Argyres-Douglas point [ref] for the former, and by $=4$ super Yang-Mills (SYM) with gauge group $(2)$ for the latter, but we claim this cannot happen for [ref].","intent_p":0.98,"contests_p":null},{"arxiv_id":"1309.5299","title":"Confinement and duality in supersymmetric gauge theories","url":"/paper/1309.5299","section":"Argyres-Douglas theory","sentence":"This agrees precisely with the answer from the representation theory and coincides as expected with the result found in $ [ref] $.","intent_p":0.97,"contests_p":null},{"arxiv_id":"1802.04285","title":"The Infrared Fixed Points of 3d $\\mathcal{N}=4$ $USp(2N)$ SQCD Theories","url":"/paper/1802.04285","section":"Introduction and summary of the results","sentence":"(This is similar in spirit to Argyres-Douglas fixed points [ref] , which are found at special locations on the Coulomb branch of 4d $=2$ theories.) We find that the fixed point theory has an accidental $SU(2)_J$ symmetry acting on its Coulomb branch.","intent_p":0.98,"contests_p":null},{"arxiv_id":"2007.16165","title":"Classification of large N superconformal gauge theories with a dense spectrum","url":"/paper/2007.16165","section":"Introduction","sentence":"This is rather similar to the case of Argyres-Douglas theories [ref] , where $𝒪(N)$ mutually non-local charged particles simultaneously become massless.","intent_p":0.99,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2009.14360","title":"Anomalous hydrodynamics with dyonic charge","url":"/paper/2009.14360","section":"Anomalous hydrodynamics with dyonic charge","sentence":"Indeed, this relation of the anomaly of the dyonic current is proposed in [ref] [ref] from the $SL(2,ℤ)$ invariance, and we do know that such a theory must be consistent (by assuming the $SL(2,ℤ)$ duality of anomalous gauging).","intent_p":0.97,"contests_p":null},{"arxiv_id":"0909.3781","title":"On Confinement Index","url":"/paper/0909.3781","section":"Abelian dual superconductor and nontrivial vacuum rearrangement","sentence":"The monopoles of various $U(1)$ charges all condense simultaneously upon the adjoint mass perturbation [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1609.04404","title":"Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges","url":"/paper/1609.04404","section":"Summary and open questions","sentence":"We summarize our results in table [ref]: 1) The $I_1$ series (or the “maximal deformation\" series) all correspond to SCFTs and have been found as flows from asymptotically free $=2$ gauge theories [ref] or are related by S-dualities to weakly-coupled $=2$ gauge SCFTs [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":145,"sentences":167,"quotes":[{"arxiv_id":"0807.2456","title":"A Coincidence Problem: How to Flow from N=2 SQCD to N=1 SQCD","url":"/paper/0807.2456","section":"The First Examples of Quantum Coincidence","sentence":"This is a particular kind of Argyres-Douglas singularity [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1301.0721","title":"W_3 irregular states and isolated N=2 superconformal field theories","url":"/paper/1301.0721","section":"Introduction","sentence":"This class of theories was originally found as a nontrivial IR fixed point on the Coulomb branch of asymptotically free gauge theories and called Argyres-Douglas type [ref] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"1706.01607","title":"Vertex operator algebras of Argyres-Douglas theories from M5-branes","url":"/paper/1706.01607","section":"Introduction","sentence":"Our primary focus in this paper is to understand the Schur sector and the Higgs branch of the generalized Argyres-Douglas theory [ref] that can be engineered from M5-branes [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"2110.14897","title":"Holographic index calculation for Argyres-Douglas and Minahan-Nemeschansky theories","url":"/paper/2110.14897","section":"Introduction","sentence":"We denote a theory in this class by $G[N]$, where $G=H_0,H_1,H_2,D_4,E_6,E_7,E_8$ is the type of 7-brane and $N$, which are called the rank of the theory, is the number of D3-branes. $H_n[N]$ ($n=0,1,2$) are examples of a large class of theories called Argyres-Douglas theories [ref] and $E_n[N]$ ($n=6,7,8$) are called Minahan-Nemeschansky theories [ref] . $D_4[N]$ is an SQCD with the gauge group $Sp(N)$.","intent_p":0.97,"contests_p":null},{"arxiv_id":"2607.20308","title":"Three-dimensional TQFTs from Argyres--Douglas theories via the 3d/3d correspondence","url":"/paper/2607.20308","section":"Introduction","sentence":"This paper studies specifically the 4d Argyres–Douglas (AD) theory $_A_2n$ [ref] — also known as the $(A_1, A_2n)$ AD theory [ref] — realised as a type-$A_1$ class-$$ theory obtained from a genus-zero Riemann surface $$ with a single irregular puncture [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":233},"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/9505062","kind":"model","paper_version":1,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T11:14:04+00:00","loaded_at":"2026-10-28T01:01:55.568558+00:00","evidence":"substantial","account":[],"groups":[{"kind":"extends","label":"Builds on it","papers":1,"entries":[{"p":1.0,"quote":{"text":"We have $K_1=L_1=0$ and, [equation] The short periods are then given by expanding the SW differential in powers of $1/ω$ as given by the following theorem, which offers a non-trivial extension of the calculation of short periods carried out to leading order in large $Λ$ in [ref] .","citing":"2310.07703","section":"$(3)$ periods via elliptic functions and modular forms"},"citing":[{"self":false,"year":2023,"title":"Approaching Argyres-Douglas theories","arxiv_id":"2310.07703"}],"verified":true,"paraphrase":"Offered a theorem that gives a non-trivial extension of the calculation of short periods carried out to leading order in large Λ in this paper."}],"papers_all":6,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":6,"contests":1,"data_used":3,"comparison":4,"method_or_tool":5,"supports_this_paper":3},"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":38,"self_papers":6,"citing_papers":293,"sentences_read":39,"citing_sentences":436,"unambiguous_read":39,"typed_independent":20,"independent_papers":287,"by_kind_independent":{"extends":6,"contests":1,"data_used":3,"comparison":4,"method_or_tool":5,"supports_this_paper":2}},"input_sha256":"ddf13559bf086aea791847574182460854c50a8d447ff69289298805f10f65da","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/9505062"}}