The Coulomb phase in N = 1 gauge theories with an LG-type superpotential

Amit Giveon; Oskar Pelc; Eliezer Rabinovici

doi:10.1016/S0550-3213(97)00297-6

The Coulomb phase in N = 1 gauge theories with an LG-type superpotential

Amit Giveon^*, Oskar Pelc, Eliezer Rabinovici

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We consider N = 1 supersymmetric gauge theories with a simple classical gauge group, one adjoint Φ, N_f pairs (Q_i,Q̃_i) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form Q̃_iΦ^lQ_j. The quantum moduli space of these models includes a Coulomb branch. We find hyper-elliptic curves that encode the low energy effective gauge coupling for the groups SO(N_c) and USp(N_c) (the corresponding curve for SU(N_c) is already known). As a consistency check, we derive the sub-space of some vacua with massless dyons via confining phase superpotentials. We also discuss the existence and nature of the non-trivial superconformai points appearing when singularities merge in the Coulomb branch.

Original language	English
Pages (from-to)	100-124
Number of pages	25
Journal	Nuclear Physics B
Volume	499
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00297-6
State	Published - 18 Aug 1997

Bibliographical note

Funding Information:
We thank S. Elitzur, A. Forge and R. Plesser for discussions. This work is supported in part by BSF - American-Israel Bi-National Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program.

Keywords

Coulomb phase
Gauge field theory
Supersymmetry

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10.1016/S0550-3213(97)00297-6

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title = "The Coulomb phase in N = 1 gauge theories with an LG-type superpotential",

abstract = "We consider N = 1 supersymmetric gauge theories with a simple classical gauge group, one adjoint Φ, Nf pairs (Qi,{\~Q}i) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form {\~Q}iΦlQj. The quantum moduli space of these models includes a Coulomb branch. We find hyper-elliptic curves that encode the low energy effective gauge coupling for the groups SO(Nc) and USp(Nc) (the corresponding curve for SU(Nc) is already known). As a consistency check, we derive the sub-space of some vacua with massless dyons via confining phase superpotentials. We also discuss the existence and nature of the non-trivial superconformai points appearing when singularities merge in the Coulomb branch.",

keywords = "Coulomb phase, Gauge field theory, Supersymmetry",

author = "Amit Giveon and Oskar Pelc and Eliezer Rabinovici",

note = "Funding Information: We thank S. Elitzur, A. Forge and R. Plesser for discussions. This work is supported in part by BSF - American-Israel Bi-National Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program.",

year = "1997",

month = aug,

day = "18",

doi = "10.1016/S0550-3213(97)00297-6",

language = "אנגלית",

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T1 - The Coulomb phase in N = 1 gauge theories with an LG-type superpotential

AU - Giveon, Amit

AU - Pelc, Oskar

AU - Rabinovici, Eliezer

N1 - Funding Information: We thank S. Elitzur, A. Forge and R. Plesser for discussions. This work is supported in part by BSF - American-Israel Bi-National Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program.

PY - 1997/8/18

Y1 - 1997/8/18

N2 - We consider N = 1 supersymmetric gauge theories with a simple classical gauge group, one adjoint Φ, Nf pairs (Qi,Q̃i) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form Q̃iΦlQj. The quantum moduli space of these models includes a Coulomb branch. We find hyper-elliptic curves that encode the low energy effective gauge coupling for the groups SO(Nc) and USp(Nc) (the corresponding curve for SU(Nc) is already known). As a consistency check, we derive the sub-space of some vacua with massless dyons via confining phase superpotentials. We also discuss the existence and nature of the non-trivial superconformai points appearing when singularities merge in the Coulomb branch.

AB - We consider N = 1 supersymmetric gauge theories with a simple classical gauge group, one adjoint Φ, Nf pairs (Qi,Q̃i) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form Q̃iΦlQj. The quantum moduli space of these models includes a Coulomb branch. We find hyper-elliptic curves that encode the low energy effective gauge coupling for the groups SO(Nc) and USp(Nc) (the corresponding curve for SU(Nc) is already known). As a consistency check, we derive the sub-space of some vacua with massless dyons via confining phase superpotentials. We also discuss the existence and nature of the non-trivial superconformai points appearing when singularities merge in the Coulomb branch.

KW - Coulomb phase

KW - Gauge field theory

KW - Supersymmetry

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SN - 0550-3213

VL - 499

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EP - 124

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

The Coulomb phase in N = 1 gauge theories with an LG-type superpotential

Abstract

Bibliographical note

Keywords

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