How to get masses from extra dimensions

作者: J. Scherk , John H. Schwarz

DOI: 10.1016/0550-3213(79)90592-3

关键词:

摘要: A generalized method of dimensional reduction, applicable to theories in curved space, is described. As previous works by other authors, the extra dimensions are related manifold a Lie group. The new feature this work define and study class groups, called “flat groups”, for which resulting theory has no cosmological constant, well-behaved potential, number arbitrary mass parameters. In particular, when analysis applied reduction 11-dimensional supergravity four it becomes possible incorporate three parameters N = 8 theory. This shows that extended supersymmetry allow more possibilities spontaneous symmetry breaking than was previously believed be case.

参考文章(26)
W. Nahm, Supersymmetries and their representations Nuclear Physics B. ,vol. 135, pp. 149- 166 ,(1978) , 10.1016/0550-3213(78)90218-3
E. Cremmer, Algebraic Simplifications in Supergravity Theories Nuclear Physics. ,vol. 127, pp. 259- 268 ,(1977) , 10.1016/0550-3213(77)90214-0
E. Cremmer, B. Julia, The N = 8 supergravity theory. I. The lagrangian Physics Letters B. ,vol. 80, pp. 48- 51 ,(1978) , 10.1016/0370-2693(78)90303-9
J. Scherk, J.H. Schwarz, Dual field theory of quarks and gluons Physics Letters B. ,vol. 57, pp. 463- 466 ,(1975) , 10.1016/0370-2693(75)90269-5
F. Gliozzi, J. Scherk, D. Olive, Supersymmetry, supergravity theories and the dual spinor model Nuclear Physics. ,vol. 122, pp. 253- 290 ,(1977) , 10.1016/0550-3213(77)90206-1
D.B. Fairlie, Higgs fields and the determination of the Weinberg angle Physics Letters B. ,vol. 82, pp. 97- 100 ,(1979) , 10.1016/0370-2693(79)90434-9
E. Cremmer, B. Julia, J. Scherk, S. Ferrara, L. Girardello, P. van Nieuwenhuizen, Spontaneous symmetry breaking and Higgs effect in supergravity without cosmological constant Nuclear Physics B. ,vol. 147, pp. 105- 131 ,(1979) , 10.1016/0550-3213(79)90417-6
E. Cremmer, J. Scherk, S. Ferrara, U(N) invariance in extended supergravity Physics Letters B. ,vol. 68, pp. 234- 238 ,(1977) , 10.1016/0370-2693(77)90277-5
Daniel Z. Freedman, John H. Schwarz, N = 4 supergravity theory with local SU(2) × SU(2) invariance Nuclear Physics. ,vol. 137, pp. 333- 339 ,(1978) , 10.1016/0550-3213(78)90526-6