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Prog. Theor. Phys. Supplement No.114 (1993) pp. 185-199
BRST Symmetry in String and Membrane Theories
Kazuo Fujikawa
Department of Physics, University of Tokyo, Tokyo 113
Abstract:
The two-dimensional gravity is believed to impose a severe constraint
on the allowed central charge c of the coupled matter system or on
the target space dimensions D ≤1 in the context of non-cricital
string theory. Recently, there appeared several attempts to overcome
this stricture. We here comment on some of these attempts, namely, the
Weyl gauge fixing, R = -constant, and the ε-expansion
scheme in d = 2 + ε. As for the Weyl gauge fixing, the BRST
symmetric treatment is reviewed. In connection with the
ε-expansion in d = 2 + ε, the membrane theory, which
formally corresponds to ε= 1, is discussed, and quite
different constraints on the critical dimensions at d = 2 and
d = 3 are noted.
URL :
http://ptp.ipap.jp/link?PTPS/114/185/
DOI : 10.1143/PTPS.114.185
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