Abstract
Nature is certainly Poincaré invariant. However it is possible that her forces possess a much higher degree of space-time invariance than we have heretofore realized, such as invariance under transformations which relate fermions and bosons, so-called supersymmetry transformations(1). As will be explained below, exact supersymmetry of the forces (i.e., of the Lagrangian) as well as of the physical states requires bosons and fermions to come in mass-degenerate multiplets; evidently, nature does not exhibit such behavior. However it is nonetheless possible that nature is supersymmetric but that this is not manifest through degeneracy between bosons and fermions. Such a state of affairs is called spontaneously broken supersymmetry and occurs when the lowest energy state (the vacuum) is not super-symmetric even though the forces are(2).
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References and Footnotes
For an introduction to supersymmetry and a more complete list of references, see, e.g., S. Ferrara, Erice Lecture Notes, Aug. 1978 (CERN preprint TH2514) and
P. Fayet and S. Ferrara, Phys. Reports 32C, 249 (1977).
For example, nature— in particular electromagnetism—is rotation invariant; however if one were living inside a huge ferromagnet, the essential rotation invariance of the fundamental interactions would not be trivially apparent: we would say that the “vacuum” (here the interior of the ferromagnet) did not possess the rotation invariance, even though the fundamental interactions do.
P. Fayet and J. Iliopoulos, Phys. Lett. 51B, 461 (1974).
P. Fayet, Nuovo Cim. 31A, 626 (1976).
P. Fayet, Phys. Lett. 69B, 489 (1977).
G. R. Farrar and P. Fayet, Phys. Lett. 76B, 575 (1978).
G. R. Farrar and P. Fayet, Caltech Preprint CALT-68–669. To be published in Phys. Lett. B.
P. Fayet, Nucl. Phys. B90, 104 (1975);
P. Fayet, Nucl. Phys. B78, 14 (1974).
P. Fayet, Proc. of the Orbis Scientiae, Coral Gables (Florida, USA), Jan. 1978, New Frontiers in H. E. Physics (Plenum Pub. Corp., New York) p. 413 (and Caltech preprint CALT-68–641).
S. Deser and B. Zumino, Phys. Rev. Lett. 38, 1433 (1977).
In the Majorana representation, in which the Dirac matrices are real, a Majorana spinor is simply a 4-component real spinor.
The superfield formalism (A. Salam and G. Strathdee, Nucl. Phys. B76, 477 (1974);
S. Ferrara, J. Wess, and B. Zumino, Phys. Lett. 51B, 239 (1974)) allows the fields in a supermultiplet to be treated as a unit, by virtue of the introduction of anticommuting variables, θ. For instance here, the superfield S contains ψL and φ, and V contains Vμ and λ. This requires the use of so-called auxiliary fields, which can be eliminated in favor of physical fields. See also (1).
J. Wess and B. Zumino, Nucl. Phys. B78, 1 (1974).
These estimates can be obtained several ways. (i) Starting with the rates for K OS → π+π-y and KL → π+π-πo, taking into account differences arising in the amplitudes from factors of θCabibbo, gs, e etc., one concludes that a 1/2 GeV/c2 Ro decaying to tttt nuino would have a lifetime ~ 10-11±1½s. Using three-body phase space this can be scaled to mR= 1 GeV/c2 (τ ≃ 10-13±1½sec) or mR = 1.5 GeV/c2 (τ ≈ 10-14±1½sec). (ii) The decay of an R-π via annihilation of a quark and gluino → spin-0 quark → quark + nuino can be related to the formula for ordinary π → μv, however without the helicity suppression of π → μv from the V-A coupling. Taking into account gs vs. e and using fR-π = fπ gives, for mR-π = 1.2 GeV/c2, τ ~ 10-12–10-13s. (iii) Comparing with Σ → nπγ, accounting for different factors of θC, e, and gs, then accounting for the different Q values would give for mR ~ 1.2 GeV/c2, τ ~ 10-13 10-14 s.
B. de Wit and D. Z. Freedman, Phys. Rev. Lett. 35. 827 (1975).
P. Fayet, Phys. Lett. 70B, 461 (1977).
G. Coremans-Bertrand et al., Phys. Lett. 65B, 480 (1976).
B. Barish et al., Caltech preprint CALT-68–655.
P. C. Bosetti et al., Phys. Lett. 74B, 143 (1978);
P. Alibran et al., Phys. Lett. 74B, 134 (1978);
T. Hansl et al., Phys. Lett. 74B, 139 (1978).
T. Goldman, Phys. Lett. B, to be published.
G. R. Farrar, in preparation.
Bourquin and J. M. Gaillard, Nucl. Phys. B114, 334 (1976).
P. Fayet, Phys. Lett., to be published (Caltech preprint CALT-68–663).
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© 1980 Plenum Press, New York
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Farrar, G.R. (1980). Supersymmetry in Nature. In: Zichichi, A. (eds) The New Aspects of Subnuclear Physics. The Subnuclear Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9170-2_2
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