Moduli space of global symmetry in N = 1 supersymmetric theories and the quasi-Nambu-Goldstone bosons

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We derive the moduli space of the global symmetry in N = 1 supersymmetric theories. We show that, at the generic points, it coincides with the space of quasi-NambuGoldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preservation of N = 1 supersymmetry. At the singular points, most of the NG bosons change to QNG bosons and the unbroken global symmetry is enhanced. The G orbits parametrized by the NG bosons are the fiber at the moduli space and the singular points correspond to the point where the H orbit (in the G orbit) shrinks. We also show that the low energy effective Lagrangian is the arbitrary function of the moduli parameters.

Original languageEnglish
Pages (from-to)2397-2430
Number of pages34
JournalInternational Journal of Modern Physics A
Volume14
Issue number15
Publication statusPublished - 1999 Jun 20
Externally publishedYes

Fingerprint

Moduli Space
Bosons
bosons
Symmetry
symmetry
Orbit
orbits
Singular Point
subgroups
Supersymmetry
Preservation
supersymmetry
Breakdown
Modulus
breakdown
Fiber
Subgroup
fibers
Arbitrary
Energy

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Moduli space of global symmetry in N = 1 supersymmetric theories and the quasi-Nambu-Goldstone bosons. / Nitta, Muneto.

In: International Journal of Modern Physics A, Vol. 14, No. 15, 20.06.1999, p. 2397-2430.

Research output: Contribution to journalArticle

@article{0c18cead72b048f8876dfceb1da91253,
title = "Moduli space of global symmetry in N = 1 supersymmetric theories and the quasi-Nambu-Goldstone bosons",
abstract = "We derive the moduli space of the global symmetry in N = 1 supersymmetric theories. We show that, at the generic points, it coincides with the space of quasi-NambuGoldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preservation of N = 1 supersymmetry. At the singular points, most of the NG bosons change to QNG bosons and the unbroken global symmetry is enhanced. The G orbits parametrized by the NG bosons are the fiber at the moduli space and the singular points correspond to the point where the H orbit (in the G orbit) shrinks. We also show that the low energy effective Lagrangian is the arbitrary function of the moduli parameters.",
author = "Muneto Nitta",
year = "1999",
month = "6",
day = "20",
language = "English",
volume = "14",
pages = "2397--2430",
journal = "International Journal of Modern Physics A",
issn = "0217-751X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "15",

}

TY - JOUR

T1 - Moduli space of global symmetry in N = 1 supersymmetric theories and the quasi-Nambu-Goldstone bosons

AU - Nitta, Muneto

PY - 1999/6/20

Y1 - 1999/6/20

N2 - We derive the moduli space of the global symmetry in N = 1 supersymmetric theories. We show that, at the generic points, it coincides with the space of quasi-NambuGoldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preservation of N = 1 supersymmetry. At the singular points, most of the NG bosons change to QNG bosons and the unbroken global symmetry is enhanced. The G orbits parametrized by the NG bosons are the fiber at the moduli space and the singular points correspond to the point where the H orbit (in the G orbit) shrinks. We also show that the low energy effective Lagrangian is the arbitrary function of the moduli parameters.

AB - We derive the moduli space of the global symmetry in N = 1 supersymmetric theories. We show that, at the generic points, it coincides with the space of quasi-NambuGoldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preservation of N = 1 supersymmetry. At the singular points, most of the NG bosons change to QNG bosons and the unbroken global symmetry is enhanced. The G orbits parametrized by the NG bosons are the fiber at the moduli space and the singular points correspond to the point where the H orbit (in the G orbit) shrinks. We also show that the low energy effective Lagrangian is the arbitrary function of the moduli parameters.

UR - http://www.scopus.com/inward/record.url?scp=0000299379&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000299379&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000299379

VL - 14

SP - 2397

EP - 2430

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 15

ER -