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Introduction to Seiberg-Witten Theory and its Stringy Origin
High Energy Physics - Theory · Submitted 24 Nov 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We give an elementary introduction to the recent solution of $N=2$ supersymmetric Yang-Mills theory.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We give an elementary introduction to the recent solution of $N=2$ supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We give an elementary introduction to the recent solution of $N=2$ supersymmetric Yang-Mills theory. | contribution 0.99 | 0.78 | 0.13 | asserted 0.96 |
| s1 | In addition, we review how it can be re-derived from string duality. | contribution 0.89 | 0.48 | 0.10 | asserted 0.92 |
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The paper
Original abstract
We give an elementary introduction to the recent solution of $N=2$ supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality.
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References
How the literature uses it
32 arXiv papers cite this in 47 sentences
Papers citing it · 20 sentences without a confident label
Uses its method or tool 1 paper
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From the Seiberg-Witten curves [ref]-[ref] and the Seiberg-Witten differential [ref] we extract the corresponding Picard-Fuchs equations [ref] , [equation] where $Π_N_F=a^(N_F,k)$ or $Π_N_F=a^(N_F,k)$, and [equation] The solutions to [ref] are expressed in terms of hypergeometric functions, and are fixed by the monodromies in [ref]-[ref].
Phase Transitions at Unusual Values of $\theta$ · Derivation of Local Sections and Prepotentials · 0.88
Cites it as background 23 papers
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Even though we will not review here this formulation of SW theory,[Good references are the original papers [ref] or some of the reviews of SW geometry e.g. [ref] .] we will still require some technical definitions to arrive at the formulation of the quantum discriminant.
Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae · Quantum discriminant · 0.96
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Later on, it was shown that it can be obtained by “geometric engineering," namely it can be obtained by a certain four-dimensional limit of topological string theory on a non-compact CY manifold [ref] (for reviews of SW theory and its stringy origin, see e.g. [ref] ).
Large N instantons, BPS states, and the replica limit · The topological string free energies · 0.96
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): This is Seiberg-Witten theory in its incarnation via geometric engineering ( [ref] ) in type IIB string theory (review in [ref] ).
Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory · Anyonic defect branes in TED-K-theory · 0.87
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