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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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 $\...
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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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112 views

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 ...
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98 views

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 ...
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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 [closed]

I have been working on Seiberg-Witten theory (well, I am now familiar with its computation), but i do not now the physical concept of this theory. For example, i now from the duality of electro-...
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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 ...
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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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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 ...