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Supermembranes and the signature of spacetime

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
310
Issue
2
Identifiers
DOI: 10.1016/0550-3213(88)90155-1
Disciplines
  • Physics

Abstract

Abstract We consider extended objects with s space and t time world-volume dimensions moving in a spacetime with S⩾ s space and T⩾ t time dimensions. The requirements of spacetime supersymmetry and world-volume fermionic gauge invariance severely restrict the possible values of S and T. If we furthermore insist that the transverse group SO( S − s, T− t) be compact to avoid ghosts, then t= T. The results may be interpreted as a set of superconformal field theories with s+ t⩽6 and N⩽8 whose superconformal groups are in one-to-one correspondence with those in Nahm's classification. Although the choice t = T = 1 is not uniquely singled out, it does seem to play a preferred role.

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