TY - JOUR
T1 - Supersymmetry and non-compact groups in supergravity
AU - Ellis, John
AU - Gaillard, Mary K.
AU - Günaydin, Murat
AU - Zumino, Bruno
N1 - Funding Information:
* Work supported in part by the Department of Energy, contracts DE-AC03-76SF00515 and DE-AC03-76SF00098, as well as the National Science Foundation, research grants PHY-82-03424 and PHY-81-18547.
PY - 1983/9/19
Y1 - 1983/9/19
N2 - We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT to demonstrate that these symmetries do not commute and exhibit the infinite-dimensional superinvariance algebra generated by them in the global limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.
AB - We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT to demonstrate that these symmetries do not commute and exhibit the infinite-dimensional superinvariance algebra generated by them in the global limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.
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U2 - 10.1016/0550-3213(83)90384-X
DO - 10.1016/0550-3213(83)90384-X
M3 - Article
AN - SCOPUS:33645927709
SN - 0550-3213
VL - 224
SP - 427
EP - 450
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -