TY - JOUR
T1 - Mass hierarchies in supersymmetric theories
AU - Witten, Edward
N1 - Funding Information:
Since we assume a simple gauge group, the Fayet-Iliopoulos D term \[associated with elementary U(1) gauge fields\] is not available as a mechanism for symmetry breaking. Supersymmetry breaking must be obtained as a variant of the O'Raifeartaigh model \[7\]. In this model, there are three complex fields,A, X and Y, and the superspace potential is W(A, X, Y) = XX(A 2 -M 2) + gYA * 2. The potential energy of the scalar fields is V = 2~ I~W/O~il2 or in this case 1 Permanent address: Joseph Henry Laboratories, Princeton University, Princeton, NJ 08540, USA. Supported in part by NSF Grant PHYS0-19754. ,1 For previous discussions of the hierarchy problem based on supersymmetry, see refs. \[4-6\]. ,2 All models in this paper are natural in the strong sense that the most general W compatible with certain symmetries is used. Since W undergoes no renormalization in perturba-tion theory \[8,6\]a weaker concept of naturalness - all terms in W should have coefficients of the same order of magnitude - may be physieaUy adequate. The relevant global symmetries of the O'Raffeaxtaigh model axe Y --* -Y,A --, -A and also X--, el~X, Y-+ elay. (Recall that any transformation in which W changes only by an overall phase is a symmetry of a supersymmetric model.)
PY - 1981/10/8
Y1 - 1981/10/8
N2 - It is argued that large gauge hierarchies occur naturally in some theories with supersymmetry spontaneously broken at the three level. Such theories may also lead to time-dependent values of the natural "constants".
AB - It is argued that large gauge hierarchies occur naturally in some theories with supersymmetry spontaneously broken at the three level. Such theories may also lead to time-dependent values of the natural "constants".
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U2 - 10.1016/0370-2693(81)90885-6
DO - 10.1016/0370-2693(81)90885-6
M3 - Article
AN - SCOPUS:0001319606
SN - 0370-2693
VL - 105
SP - 267
EP - 271
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4
ER -