Issues

 / 

1985

 / 

August

  

From the current literature


Supersymmetry: Kaluza-Klein theory, anomalies, and superstrings

Progress in the search for a unified theory of elementary particles is reviewed. The supersymmetrical Kaluza-Klein theories are described: 11-, 10-, and 6-dimensional models of supergravity. The methods of spontaneous compactification, with whose help the four-dimensional theories are obtained, are described. The properties of the massless sector—zero modes in the Kaluza--Klein theories--and the question of the stability of vacuum solutions are discussed. An important criterion for the selection of a self-consistent theory is the absence of anomalies. The basic formulas for multidimensional chiral and gravitational anomalies are presented. The mechanism of the cancellation of the anomaly for Green and Schwarz's 10-dimensional effective field theory of superstrings with the gauge groups SO(32) and E$_8\times$ E$_8$ is described. The basic concepts and the results of the theory of superstrings are presented. This theory has no divergences and is at the present time a very attractive candidate for a unified theory of elementary particles.

Fulltext pdf (694 KB)
Fulltext is also available at DOI: 10.1070/PU1985v028n08ABEH003884
PACS: 04.50.+h, 11.30.Pb, 11.25.Mj, 04.65.+e, 11.30.Ly, 11.30.Rd (all)
DOI: 10.1070/PU1985v028n08ABEH003884
URL: https://ufn.ru/en/articles/1985/8/c/
Citation: Aref’eva I Ya, Volovich I V "Supersymmetry: Kaluza-Klein theory, anomalies, and superstrings" Sov. Phys. Usp. 28 694–708 (1985)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Арефьева И Я, Волович И В «Суперсимметрия: теория Калуцы-Клейна, аномалии,суперструны» УФН 146 655–681 (1985); DOI: 10.3367/UFNr.0146.198508e.0655

Cited by (39) Similar articles (4) ↓

  1. A.I. Vainshtein, V.I. Zakharov, M.A. Shifman “Instantons versus supersymmetry28 709–723 (1985)
  2. N.G. Ural’tsev, V.A. Khoze “Quark mixing in weak interactions28 617–631 (1985)
  3. E.T. Akhmedov “Correspondence between supersymmetric Yang-Mills and supergravity theories44 955–971 (2001)
  4. A.A. Pomeranskii, R.A. Sen’kov, I.B. Khriplovich “Spinning relativistic particles in external fields43 1055–1066 (2000)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions