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Paper listing known Seiberg-dual pairs of ${cal N}=1$ gauge theories

Physics Asked on June 30, 2021

Is there a nice list of known Seiberg-dual pairs somewhere? There are so many papers from the middle 1990s but I do not find comprehensive review. Could you suggest a reference?

Seiberg’s original paper is this Inspire entry and its cited by these papers, but I do not know of any summary of the information in these 1000’s of papers.

3 Answers

Here is a review by Chaichian, Chen and Montonen:

http://arxiv.org/abs/hep-th/0007240

Answered by M. E. Irizarry-Gelpí on June 30, 2021

I had seen some such "list" in the papers by Romelsberger and those by Spiridinov and Vartanov. Maybe you are looking for papers like these,

  • Christian Romelsberger, Calculating the Superconformal Index and Seiberg Duality (arXiv:0707.3702)

  • V.P. Spiridonov, G.S. Vartanov, Supersymmetric dualities beyond the conformal window (arXiv:1003.6109)

Answered by user6818 on June 30, 2021

A list of some dual pairs for exceptional gauge groups is in

  • Jacques Distler, Andreas Karch, N=1 Dualities for Exceptional Gauge Groups and Quantum Global Symmetries (arXiv:hep-th/9611088)

For non-exceptional gauge groups there are "lists" in the form of explicit algorithms for how to construct the dual partner, see section 4 of

  • Subir Mukhopadhyay, Koushik Ray, Seiberg duality as derived equivalence for some quiver gauge theories (arXiv:hep-th/0309191).

In as far as a comprehensive list of such lists is missing in the literature, one could construct one on a page like this (if one had the time...)

Answered by Urs Schreiber on June 30, 2021

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