Phases of 𝒩 = 1 supersymmetric gauge theories View Full Text


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Article Info

DATE

2003-02-19

AUTHORS

Freddy Cachazo, Nathan Seiberg, Edward Witten

ABSTRACT

= 1 supersymmetric U(N) gauge theory with adjoint matter Φ and a polynomial superpotential Tr W(Φ) has been much studied recently. The classical theory has several vacua labeled by integers (N1, N2, ..., Nk), with the classical unbroken gauge group ∏iU(Ni). Quantum mechanically, each classical vacuum leads to ∏iNi different vacua. As the parameters of W(Φ) are varied, these vacua change in a continuous (and holomorphic) fashion. We find that vacua associated with (N1, N2, ..., Nk) can be continuously transformed to vacua with (Ñ1, Ñ2, ..., Ñk), thus leading to a new kind of duality. Traditional order parameters, like the Wilson loop and 't Hooft loop, sometimes distinguish different phases. We also find phases that are not distinguished by conventional order parameters. The whole picture of the phase diagram is reminiscent of the phase diagram of M-theory. More... »

PAGES

042

References to SciGraph publications

  • 2002-12-24. Chiral Rings and Anomalies in Supersymmetric Gauge Theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 1985-11. Functional-integral approach to chiral anomalies in supersymmetric gauge theories in IL NUOVO CIMENTO A (1965-1970)
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    http://scigraph.springernature.com/pub.10.1088/1126-6708/2003/02/042

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    http://dx.doi.org/10.1088/1126-6708/2003/02/042

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