Boson-fermion symmetries and superfields

This review provides an introduction to the theory of supersymmetry. The algebra of supersymmetries is developed, and its representations are given together with the ensuing surprising property of vanishing of the vacuum average of the energy-momentum tensor in supersymmetrical theories. Particular attention is paid to superfields--objects that combine fermion and boson fields with the aid of auxiliary anticommuting spinor coordinates. The Lagrangian formalism and the equations of motion for superfields are discussed. A detailed analysis is presented of the simplest supersymmetrical model of a chiral scalar superfield and its exceptional renormalizability. Gauge supersymmetrical theories are analyzed. The possibilities are discussed of a nontrivial unification of internal symmetries and supersymmetries. The article concludes with first attempts of spontaneous supersymmetry breaking, which is needed for the construction of future realistic supersymmetrical models.

PACS: 11.30.−j, 11.10.Ef (all)
DOI: 10.1070/PU1975v018n12ABEH005244
URL: https://ufn.ru/en/articles/1975/12/b/
Citation: Ogievetskii V I, Mezincescu L "Boson-fermion symmetries and superfields" Sov. Phys. Usp. 18 960–982 (1975)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Огиевецкий В И, Мезинческу Л «Симметрии между бозонами и фермионами и суперполя» УФН 117 637–683 (1975); DOI: 10.3367/UFNr.0117.197512b.0637

Cited by (100) Similar articles (20) ↓

A.I. Vainshtein, V.I. Zakharov et al “ABC of instantons” Sov. Phys. Usp. 25 195–215 (1982)
A.A. Slavnov “Supersymmetric gauge theories and their possible applications to the weak and electromagnetic interactions” Sov. Phys. Usp. 21 240–251 (1978)
M.S. Marinov “Relativistic strings and dual models of the strong interactions” Sov. Phys. Usp. 20 179–208 (1977)
M.I. Vysotskii “Supersymmetric models of elementary particles—the physics for new-generation accelerators?” Sov. Phys. Usp. 28 667–693 (1985)
B.M. Barbashov, V.V. Nesterenko “Superstrings: a new approach to a unified theory of fundamental interactions” Sov. Phys. Usp. 29 1077–1096 (1986)
L.E. Gendenshtein, I.V. Krive “Supersymmetry in quantum mechanics” Sov. Phys. Usp. 28 645–666 (1985)
A.Yu. Morozov “Anomalies in gauge theories” Sov. Phys. Usp. 29 993–1039 (1986)
D.I. Blokhintsev, B.M. Barbashov “Use of Functional Integrals in Quantum Mechanics and Field Theory” Sov. Phys. Usp. 15 193–204 (1972)
A.V. Marshakov “String theory or field theory?” Phys. Usp. 45 915–954 (2002)
A.I. Vainshtein, V.I. Zakharov “Partial conservation of axial current in processes involving ’soft’ mesons” Sov. Phys. Usp. 13 73–100 (1970)
S.G. Matinyan “Toward the unification of weak, electromagnetic, and strong interactions: SU(5)” Sov. Phys. Usp. 23 1–20 (1980)
A.I. Vainshtein, V.I. Zakharov, M.A. Shifman “Higgs particles” Sov. Phys. Usp. 23 429–449 (1980)
V.G. Knizhnik “Multiloop amplitudes in the theory of quantum strings and complex geometry” Sov. Phys. Usp. 32 945–971 (1989)
L.V. Prokhorov, S.V. Shabanov “Phase space of mechanical systems with a gauge group” Sov. Phys. Usp. 34 (2) 108–140 (1991)
V.M. Shekhter “Weak interactions involving neutral currents” Sov. Phys. Usp. 19 645–665 (1976)
V.I. Arnol’d “Singularities, bifurcations, and catastrophes” Sov. Phys. Usp. 26 1025–1037 (1983)
M.K. Volkov, V.N. Pervushin “Quantum field theory with a chiral Lagrangian and low-energy meson physics” Sov. Phys. Usp. 19 894–908 (1976)
A.I. Vainshtein, I.B. Khriplovich “Renormalizable models of the electromagnetic and weak interactions” Sov. Phys. Usp. 17 263–275 (1974)
L.G. Landsberg “The search for quarks” Sov. Phys. Usp. 16 251–274 (1973)
A.A. Grib, E.V. Damaskinskii, V.M. Maksimov “The problem of symmetry breaking and in variance of the vacuum in quantum field theory” Sov. Phys. Usp. 13 798–815 (1971)

The list is formed automatically.