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Self-Dual N=1 SUSY Gauge Theories

Csaba Csaki, Martin Schmaltz, Witold Skiba, John Terning

TL;DR

This work systematically expands the landscape of self-dual $N=1$ SUSY gauge theories by providing numerous new dual pairs across $SU(N)$ with tensor matter and $SO(N)$ with spinors. It develops a toolkit of duals that arise from Higgsing and integrating out flavors, highlighting the crucial roles of accidental infrared symmetries and the phenomenon that the same gauge content can admit multiple, structurally different dual descriptions. The authors show that duals do not follow a simple organizing pattern with flavor number, and that even identical gauge groups can couple to very different meson sectors and superpotentials. Collectively, the results broaden Seiberg-like dualities, illustrate how IR dynamics shape dual descriptions, and offer a framework for deriving further nontrivial dual pairs and exploring emergent IR fixed points.

Abstract

We present a large set of new self-dual N=1 SUSY gauge theories. Examples include SU(N) theories with tensors and SO(N) theories with spinors. Using these dualities as starting points, new non-trivial duals can be derived by higgsing the gauge group or by integrating out matter. General lessons that can be learned from these duals are: ``accidental" infrared symmetries play an important role in duality, many theories have more than one ``dual", and there seems to be no simple organizing pattern which relates duals of theories with different number of flavors.

Self-Dual N=1 SUSY Gauge Theories

TL;DR

This work systematically expands the landscape of self-dual SUSY gauge theories by providing numerous new dual pairs across with tensor matter and with spinors. It develops a toolkit of duals that arise from Higgsing and integrating out flavors, highlighting the crucial roles of accidental infrared symmetries and the phenomenon that the same gauge content can admit multiple, structurally different dual descriptions. The authors show that duals do not follow a simple organizing pattern with flavor number, and that even identical gauge groups can couple to very different meson sectors and superpotentials. Collectively, the results broaden Seiberg-like dualities, illustrate how IR dynamics shape dual descriptions, and offer a framework for deriving further nontrivial dual pairs and exploring emergent IR fixed points.

Abstract

We present a large set of new self-dual N=1 SUSY gauge theories. Examples include SU(N) theories with tensors and SO(N) theories with spinors. Using these dualities as starting points, new non-trivial duals can be derived by higgsing the gauge group or by integrating out matter. General lessons that can be learned from these duals are: ``accidental" infrared symmetries play an important role in duality, many theories have more than one ``dual", and there seems to be no simple organizing pattern which relates duals of theories with different number of flavors.

Paper Structure

This paper contains 9 sections, 39 equations, 1 figure, 3 tables.

Table of Contents

  1. Introduction
  2. Multiple self-duals and accidental symmetries
  3. New examples of self-duals
  4. $SU(8)$ with two antisymmetric tensors and 8 antifundamentals
  5. $SU(6)$ with a three index antisymmetric tensor
  6. Multiple self-duals
  7. $SU(2N)$ with $+\overline{ } + 4( +\overline{})$
  8. $SO(N)$ with spinors and $N-4$ vectors
  9. Conclusions

Figures (1)

  • Figure 1: The chain of theories obtained from the self-dual of an $SU(6)$ theory with the three-index antisymmetric tensor and six flavors. The gauge group and the tensor field content of the electric theories are indicated in the top row. The first column gives the number of flavors. The confining theories are identified as such in the table, for the others we give the dual gauge group and tensor field content. The arrows depict possible flows between these theories either by higgsing the gauge group or by adding mass terms.