We present a locally supersymmetric action for a spinning membrane. This is obtained by supersymmetrizing the induced volume element action which is reformulated in terms of a three‐dimensional field theory. We also discuss more complex actions which are possible due to the nontriviality of (super) gravity in three dimensions.

1.
P. S.
Howe
and
R. W.
Tucker
,
J. Math. Phys.
19
,
869
(
1978
).
2.
P. A.
Collins
and
R. W.
Tucker
,
Nucl. Phys. B
112
,
150
(
1976
).
3.
J.
Scherk
,
Rev. Mod. Phys.
47
,
123
(
1975
);
Dual Theory, edited by M. Jacob (North‐Holland, Amsterdam, 1974).
4.
W.
Bardeen
,
M.
Chanowitz
,
S.
Drell
,
M.
Weinstein
, and
T. M.
Yan
,
Phys. Rev. D
11
,
1094
(
1975
);
R. C.
Giles
,
Phys. Rev. D
13
,
1670
(
1976
);
R. C.
Giles
and
S.‐H. H.
Tye
,
Phys. Rev. D
13
,
1690
(
1976
).
5.
P. A. M.
Dirac
,
Proc. Roy. Soc. A
268
,
57
(
1962
).
6.
P.
Breitenlohner
,
Phys. Lett. B
67
,
49
(
1977
).
7.
B. Zumino, in Gauge Theories and Modern Field Theory, edited by R. Arnowitt and P. Nath (M. I. T. Press, Cambridge, Mass., 1976), p. 255.
This content is only available via PDF.
You do not currently have access to this content.