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Questions tagged [seiberg-witten-theory]

In theoretical physics, Seiberg–Witten theory is a theory that determines an exact low-energy effective action (for massless degrees of freedom) of a N=2 supersymmetric gauge theory—namely the metric of the moduli space of vacua.

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Does there exist an efficient algorithm for Seiberg-Witten coefficients? [closed]

Take one of the definitions of the Algorithm Efficiency. Is there any efficient one around? I found this but I am not sure if it's so: An Algorithm for the Microscopic Evaluation of the Coefficients ...
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Nekrasov partition function

In the celebrated paper Seiberg-Witten prepotential from instanton counting by N. Nekrasov I can't quite understand some parts of section (2.3). The Nekrasov partition function is defined via \begin{...
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Is there an exact correspondence between Seiberg-Witten theory and mirror symmetry?

Seiberg-Witten solution gives an algebraic geometrical description of the quantum moduli of 4d $\mathcal{N}=2 $ SUSY gauge theory. However, the solution seems purely constructive and does not enjoy ...
Yankun Ma's user avatar
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Seiberg-Witten Theory and the Kähler manifold

Starting from the Kähler potential $$\mathcal{L}=\frac{1}{4\pi} Im(\int d^{4}\theta tr(\Phi^{\dagger}e^{2V}\Phi),$$ How do we integrate out to get the following Lagrangian: $$\mathcal{L}=\frac{1}{4\pi}...
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Dyon Equivalence and Democracy Tranformations in Seiberg-Witten Theory

I am currently studying Seiberg Witten theory's strong and weak coupling spectrum from the paper of Ferrari-Bilal The Strong Coupling Spectrum of Seiberg Witten Theory. I have a couple of doubts ...
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Commutator terms in the $\mathcal{N} = 2$ Super Yang-Mills Lagrangian

I'm reading Seiberg-Witten Theory with $\mathcal{N} = 2$ supersymmetry from these notes https://arxiv.org/abs/hep-th/9701069. In the second term of the Lagrangian (72), we have a term from the chiral ...
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Beta function of Seiberg-Witten

In Seiberg and Witten's seminal paper, a key role is played by the monodromy of $\tau$ around infinity. This monodromy can be computed in the weakly coupled regime, and it is given by the one-loop ...
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Seiberg-Witten Gauge theory

It can be assumed I have taken introductory courses of GR (Carroll) and QFT(Schwartz). I skimmed through this book by Marcolli on Seiberg-Witten (SW) gauge theory. What I have understood after looking ...
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Validity of Seiberg-Witten theory and the understanding of notion "Effective field theory"

I am reading "An Introduction to the Confinement Problem" book by Jeff Greensite https://books.google.ru/books?id=atwRBwAAQBAJ&printsec=frontcover&hl=ru#v=onepage&q&f=false, ...
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Showing that the $\mathcal{N=2}$ SUSY Effective Action is Duality-Invariant

The effective action of the $\mathcal{N}=2$ supersymmetric $SU(2)$ gauge theory contains the following term; $$Im\int d^{4}xd^{2}\theta d^{2}\bar{\theta}\Phi^{\dagger}\mathcal{F}'(\Phi)$$ Where $\Phi$ ...
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How can I get the Seiberg-Witten curve from M-theory?

I know that we can use the SU($n$) 6d (2,0) SCFT, the M5-brane world-volume theory to get $\mathcal{N}=2$ theories. Still, e.g. reading Tachikawa's "Supersymmetric dynamics for pedestrians" I cannot ...
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On Seiberg-Witten theory in 3d and 4d

According to Gukov et al. in this 2017 paper Seiberg-Witten theory in 4d categorifies Seiberg-Witten theory in 3d. In what sense is this phrase mentioned? I know what the process of categorification ...
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Where are the $U(1)$ topological gauge theory zero modes?

In this 1995 paper, Witten claims the following: The zero modes (i.e. of the gauge field) do not give factors of $\Im \tau$; they are tangent to the space of classical minima, which is a torus of ...
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What is a framed G-instanton?

I started looking at Nekrasov's paper on instanton counting (https://arxiv.org/abs/hep-th/0206161), and I came across the term "framed G-instanton" right at the beginning on page 2. What is a framed ...
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How does one determine the genus of the ultraviolet curve from Seiberg-Witten curve?

In Gaiotto's construction of 4d ${\cal N}=2$ theories, one starts with 6d (2,0) theory and compactify it on the Riemann surface, which is called the ultraviolet curve of the ${\cal N}=2$ theory. In ...
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What is the physical motivation of Seiberg-Witten theory?

Seiberg-Witten equations ushered in a new era in gauge theory and enabled mathematicians to find simpler proofs of some of the deepest results of Donaldson and others. The mathematical formalism of ...
Mikhail Katz's user avatar
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Seiberg duality and IR fixed point

This question is related with Seiberg duality for $SU(N)$ gauge theory which states a duality between electric theory, $SU(N_c)$ gauge theory with $N_f$ flavors is dual to its magnetic theory, $SU(N_f-...
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What are the global symmetries of $\mathcal{N}=2$ SYM before twisting and after twisting?

I am confused with the global symmetries of $\mathcal{N}=2$ SYM. On one hand I know that the theory has a $U(2)_R = SU(2)_R \times U(1)_R$ symmetry. Now, there exists also a $U(1)_B$ global symmetry. ...
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Seiberg-Witten theory and its physical interpretation

I have been working on Seiberg-Witten theory (well, I am now familiar with its computation), but I do not know the physical concept of this theory. For example, I know from the duality of electro-...
phy_math's user avatar
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Anomaly polynomial of Hitchin system $\mathcal{N}=2$ 4d SQFT

I would like to ask about mathematical background of this object. So, I am trying to puzzle out with 4d $\mathcal{N}=2$ SQFT. As far as I can gather this theory can be described in terms of ...
quantum's user avatar
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Recommendation of papers, or reading materials on ${\cal N}=2$, ${\cal N}=4$ supersymmetry [duplicate]

I am familiar with N=1 susy in the context of Wess and Bagger. For further progress, i want to study ${\cal N}=2$, ${\cal N}=4$ supersymmetry, to study seiberg-like duality. (I am not familiar with ...
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2 answers
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Seiberg-Witten theory and Superconductivity

There seems to have some (deep) relation between Seiberg-Witten theory and superconductivity. e.g. this Witten paper. Q: Could someone introduce the relations between the twos both physically in ...
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