M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory

Amit Giveon; Oskar Pelc

doi:10.1016/S0550-3213(97)00687-1

M theory, type IIA string and 4D N = 1 SUSY SU(N_L) ⊗ SU(N_R) gauge theory

Amit Giveon^*, Oskar Pelc

^*Corresponding author for this work

Racah Institute of Physics

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

28 Scopus citations

Abstract

SU(N_L) ⊗ SU(N_R) gauge theories are investigated as effective field theories on D₄-branes in type IIA string theory. The classical gauge configuration is shown to match quantitatively with a corresponding classical U(N_L) ⊗ U(N_R) gauge theory. Quantum effects freeze the U(1) gauge factors and turn some parameters into moduli. The SU(N_L) ⊗ SU(N_R) quantum model is realized in M theory. Starting with an N = 2 configuration (parallel NS 5-branes), the rotation of a single NS 5-brane is considered. Generically, this leads to a complete lifting of the Coulomb moduli space. The implications of this result to field theory and the dynamics of branes are discussed. When the initial M 5-brane is reducible, part of the Coulomb branch may survive. Some such situations are considered, leading to curves describing the effective gauge couplings for N = 1 models. The generalization to models with more gauge group factors is also discussed.

Original language	English
Pages (from-to)	103-147
Number of pages	45
Journal	Nuclear Physics B
Volume	512
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00687-1
State	Published - 16 Feb 1998

Bibliographical note

Funding Information:
We are grateful to Shmuel Elitzur, David Kutasov, Yaron Oz and Eliezer Rabinovici for helpful discussions. This work is supported in part by BSF - American-Israel BiNational Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program. A.G. thanks the Theory Division at CERN for hospitality.

Keywords

D-branes
Gauge theory
String theory
Supersymmetry

Access to Document

10.1016/S0550-3213(97)00687-1

Cite this

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title = "M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory",

abstract = "SU(NL) ⊗ SU(NR) gauge theories are investigated as effective field theories on D4-branes in type IIA string theory. The classical gauge configuration is shown to match quantitatively with a corresponding classical U(NL) ⊗ U(NR) gauge theory. Quantum effects freeze the U(1) gauge factors and turn some parameters into moduli. The SU(NL) ⊗ SU(NR) quantum model is realized in M theory. Starting with an N = 2 configuration (parallel NS 5-branes), the rotation of a single NS 5-brane is considered. Generically, this leads to a complete lifting of the Coulomb moduli space. The implications of this result to field theory and the dynamics of branes are discussed. When the initial M 5-brane is reducible, part of the Coulomb branch may survive. Some such situations are considered, leading to curves describing the effective gauge couplings for N = 1 models. The generalization to models with more gauge group factors is also discussed.",

keywords = "D-branes, Gauge theory, String theory, Supersymmetry",

author = "Amit Giveon and Oskar Pelc",

note = "Funding Information: We are grateful to Shmuel Elitzur, David Kutasov, Yaron Oz and Eliezer Rabinovici for helpful discussions. This work is supported in part by BSF - American-Israel BiNational Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program. A.G. thanks the Theory Division at CERN for hospitality.",

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AU - Giveon, Amit

AU - Pelc, Oskar

N1 - Funding Information: We are grateful to Shmuel Elitzur, David Kutasov, Yaron Oz and Eliezer Rabinovici for helpful discussions. This work is supported in part by BSF - American-Israel BiNational Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program. A.G. thanks the Theory Division at CERN for hospitality.

PY - 1998/2/16

Y1 - 1998/2/16

N2 - SU(NL) ⊗ SU(NR) gauge theories are investigated as effective field theories on D4-branes in type IIA string theory. The classical gauge configuration is shown to match quantitatively with a corresponding classical U(NL) ⊗ U(NR) gauge theory. Quantum effects freeze the U(1) gauge factors and turn some parameters into moduli. The SU(NL) ⊗ SU(NR) quantum model is realized in M theory. Starting with an N = 2 configuration (parallel NS 5-branes), the rotation of a single NS 5-brane is considered. Generically, this leads to a complete lifting of the Coulomb moduli space. The implications of this result to field theory and the dynamics of branes are discussed. When the initial M 5-brane is reducible, part of the Coulomb branch may survive. Some such situations are considered, leading to curves describing the effective gauge couplings for N = 1 models. The generalization to models with more gauge group factors is also discussed.

AB - SU(NL) ⊗ SU(NR) gauge theories are investigated as effective field theories on D4-branes in type IIA string theory. The classical gauge configuration is shown to match quantitatively with a corresponding classical U(NL) ⊗ U(NR) gauge theory. Quantum effects freeze the U(1) gauge factors and turn some parameters into moduli. The SU(NL) ⊗ SU(NR) quantum model is realized in M theory. Starting with an N = 2 configuration (parallel NS 5-branes), the rotation of a single NS 5-brane is considered. Generically, this leads to a complete lifting of the Coulomb moduli space. The implications of this result to field theory and the dynamics of branes are discussed. When the initial M 5-brane is reducible, part of the Coulomb branch may survive. Some such situations are considered, leading to curves describing the effective gauge couplings for N = 1 models. The generalization to models with more gauge group factors is also discussed.

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