The vacuum structure of script N = 2 super-QCD with classical gauge groups

Philip C. Argyres; Alfred D. Shapere

doi:10.1016/0550-3213(95)00661-3

The vacuum structure of script N = 2 super-QCD with classical gauge groups

Philip C. Argyres
, Alfred D. Shapere

Physics And Astronomy

Producción científica: Article › revisión exhaustiva

167 Citas (Scopus)

Resumen

We determine the vacuum structure of script N = 2 supersymmetric QCD with fundamental quarks for gauge groups SO(n) and Sp(2n), extending prior results for SU(n). The solutions are all given in terms of families of hyperelliptic Riemann surfaces of genus equal to the rank of the gauge group. In the scale-invariant cases, the solutions all have exact S-dualities which act on the couplings by subgroups of PSL(2,ℤ) and on the masses by outer automorphisms of the flavor symmetry. They are shown to reproduce the complete pattern of symmetry breaking on the Coulomb branch and predict the correct weak-coupling monodromies. Simple breakings with squark vevs provide further consistency checks involving strong-coupling physics.

Idioma original	English
Páginas (desde-hasta)	437-459
Número de páginas	23
Publicación	Nuclear Physics B
Volumen	461
N.º	3
DOI	https://doi.org/10.1016/0550-3213(95)00661-3
Estado	Published - feb 26 1996

Nota bibliográfica

Funding Information:
It is a pleasure to thank K. Dienes, R. Leigh, R. Plesser, N. Seiberg, and E. Witten for helpful discussions and comments, and J. Minahan and D. Nemeschansky for a useful correspondence. P.C.A. is supported by DOE grant DE-FG05-90ER40559 and A.D.S. is supported in part by DOE EPSCoR grant DE-FG02-91ER75661 and by an Alfred P. Sloan Fellowship.

Financiación

It is a pleasure to thank K. Dienes, R. Leigh, R. Plesser, N. Seiberg, and E. Witten for helpful discussions and comments, and J. Minahan and D. Nemeschansky for a useful correspondence. P.C.A. is supported by DOE grant DE-FG05-90ER40559 and A.D.S. is supported in part by DOE EPSCoR grant DE-FG02-91ER75661 and by an Alfred P. Sloan Fellowship.

Financiadores	Número del financiador
DOE EPSCoR	DE-FG02-91ER75661
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory	DE-FG05-90ER40559

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(95)00661-3

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title = "The vacuum structure of script N = 2 super-QCD with classical gauge groups",

abstract = "We determine the vacuum structure of script N = 2 supersymmetric QCD with fundamental quarks for gauge groups SO(n) and Sp(2n), extending prior results for SU(n). The solutions are all given in terms of families of hyperelliptic Riemann surfaces of genus equal to the rank of the gauge group. In the scale-invariant cases, the solutions all have exact S-dualities which act on the couplings by subgroups of PSL(2,ℤ) and on the masses by outer automorphisms of the flavor symmetry. They are shown to reproduce the complete pattern of symmetry breaking on the Coulomb branch and predict the correct weak-coupling monodromies. Simple breakings with squark vevs provide further consistency checks involving strong-coupling physics.",

author = "Argyres, \{Philip C.\} and Shapere, \{Alfred D.\}",

note = "Funding Information: It is a pleasure to thank K. Dienes, R. Leigh, R. Plesser, N. Seiberg, and E. Witten for helpful discussions and comments, and J. Minahan and D. Nemeschansky for a useful correspondence. P.C.A. is supported by DOE grant DE-FG05-90ER40559 and A.D.S. is supported in part by DOE EPSCoR grant DE-FG02-91ER75661 and by an Alfred P. Sloan Fellowship.",

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AU - Shapere, Alfred D.

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PY - 1996/2/26

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N2 - We determine the vacuum structure of script N = 2 supersymmetric QCD with fundamental quarks for gauge groups SO(n) and Sp(2n), extending prior results for SU(n). The solutions are all given in terms of families of hyperelliptic Riemann surfaces of genus equal to the rank of the gauge group. In the scale-invariant cases, the solutions all have exact S-dualities which act on the couplings by subgroups of PSL(2,ℤ) and on the masses by outer automorphisms of the flavor symmetry. They are shown to reproduce the complete pattern of symmetry breaking on the Coulomb branch and predict the correct weak-coupling monodromies. Simple breakings with squark vevs provide further consistency checks involving strong-coupling physics.

AB - We determine the vacuum structure of script N = 2 supersymmetric QCD with fundamental quarks for gauge groups SO(n) and Sp(2n), extending prior results for SU(n). The solutions are all given in terms of families of hyperelliptic Riemann surfaces of genus equal to the rank of the gauge group. In the scale-invariant cases, the solutions all have exact S-dualities which act on the couplings by subgroups of PSL(2,ℤ) and on the masses by outer automorphisms of the flavor symmetry. They are shown to reproduce the complete pattern of symmetry breaking on the Coulomb branch and predict the correct weak-coupling monodromies. Simple breakings with squark vevs provide further consistency checks involving strong-coupling physics.

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DO - 10.1016/0550-3213(95)00661-3

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The vacuum structure of script N = 2 super-QCD with classical gauge groups

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Nota bibliográfica

Financiación

ASJC Scopus subject areas

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