Accidental symmetries and N = 1 duality in supersymmetric gauge theory

Robert G. Leigh; Matthew J. Strassler

doi:10.1016/S0550-3213(97)00204-6

Accidental symmetries and N = 1 duality in supersymmetric gauge theory

Robert G. Leigh, Matthew J. Strassler

Physics

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Abstract

We note that the accidental symmetries which are present in some examples of duality imply the existence of continuously infinite sets of theories with the same infrared behavior. These sets interpolate between theories of different flavors and colors; the change in color and flavor is compensated by interactions (often non-perturbative) induced by operators in the superpotential. As an example we study the behavior of SU(2) gauge theories with 2N_f doublets; these are dual to SU(N_f-2) gauge theories whose ultraviolet flavor symmetry is SU(N_f)_L × SU(N_f)_R × U(1)_B but whose flavor symmetry is SU(2N_f) in the infrared. The infrared SU(2N_f) flavor symmetry is implemented in the ultraviolet as a non-trivial transformation on the Lagrangian and matter content of the magnetic theory, involving (generally non-renormalizable) baryon operators and non-perturbative dynamics. We discuss various implications of this fact, including possible new chiral fixed points and interesting examples of dangerously irrelevant operators.

Original language	English (US)
Pages (from-to)	132-148
Number of pages	17
Journal	Nuclear Physics B
Volume	496
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00204-6
State	Published - Jul 7 1997

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Nuclear and High Energy Physics

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title = "Accidental symmetries and N = 1 duality in supersymmetric gauge theory",

abstract = "We note that the accidental symmetries which are present in some examples of duality imply the existence of continuously infinite sets of theories with the same infrared behavior. These sets interpolate between theories of different flavors and colors; the change in color and flavor is compensated by interactions (often non-perturbative) induced by operators in the superpotential. As an example we study the behavior of SU(2) gauge theories with 2Nf doublets; these are dual to SU(Nf-2) gauge theories whose ultraviolet flavor symmetry is SU(Nf)L × SU(Nf)R × U(1)B but whose flavor symmetry is SU(2Nf) in the infrared. The infrared SU(2Nf) flavor symmetry is implemented in the ultraviolet as a non-trivial transformation on the Lagrangian and matter content of the magnetic theory, involving (generally non-renormalizable) baryon operators and non-perturbative dynamics. We discuss various implications of this fact, including possible new chiral fixed points and interesting examples of dangerously irrelevant operators.",

author = "Leigh, {Robert G.} and Strassler, {Matthew J.}",

note = "Funding Information: M.J.S. was supported by National Science Foundation grant NSF PHY-9513835 and by the WM Keck Foundation. These results were obtained at Rutgers University under the support of DOE grant #DE-FG05-90ER40559.",

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AU - Leigh, Robert G.

AU - Strassler, Matthew J.

N1 - Funding Information: M.J.S. was supported by National Science Foundation grant NSF PHY-9513835 and by the WM Keck Foundation. These results were obtained at Rutgers University under the support of DOE grant #DE-FG05-90ER40559.

PY - 1997/7/7

Y1 - 1997/7/7

N2 - We note that the accidental symmetries which are present in some examples of duality imply the existence of continuously infinite sets of theories with the same infrared behavior. These sets interpolate between theories of different flavors and colors; the change in color and flavor is compensated by interactions (often non-perturbative) induced by operators in the superpotential. As an example we study the behavior of SU(2) gauge theories with 2Nf doublets; these are dual to SU(Nf-2) gauge theories whose ultraviolet flavor symmetry is SU(Nf)L × SU(Nf)R × U(1)B but whose flavor symmetry is SU(2Nf) in the infrared. The infrared SU(2Nf) flavor symmetry is implemented in the ultraviolet as a non-trivial transformation on the Lagrangian and matter content of the magnetic theory, involving (generally non-renormalizable) baryon operators and non-perturbative dynamics. We discuss various implications of this fact, including possible new chiral fixed points and interesting examples of dangerously irrelevant operators.

AB - We note that the accidental symmetries which are present in some examples of duality imply the existence of continuously infinite sets of theories with the same infrared behavior. These sets interpolate between theories of different flavors and colors; the change in color and flavor is compensated by interactions (often non-perturbative) induced by operators in the superpotential. As an example we study the behavior of SU(2) gauge theories with 2Nf doublets; these are dual to SU(Nf-2) gauge theories whose ultraviolet flavor symmetry is SU(Nf)L × SU(Nf)R × U(1)B but whose flavor symmetry is SU(2Nf) in the infrared. The infrared SU(2Nf) flavor symmetry is implemented in the ultraviolet as a non-trivial transformation on the Lagrangian and matter content of the magnetic theory, involving (generally non-renormalizable) baryon operators and non-perturbative dynamics. We discuss various implications of this fact, including possible new chiral fixed points and interesting examples of dangerously irrelevant operators.

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Accidental symmetries and N = 1 duality in supersymmetric gauge theory

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