Tensionless branes and the null string critical dimension
arXiv:hep-th/9711136 · doi:10.1142/S0217732398002734
Abstract
BRST quantization is carried out for a model of p-branes with second class constraints. After extension of the phase space the constraint algebra coincides with the one of null string when p=1. It is shown that in this case one can or can not obtain critical dimension for the null string, depending on the choice of the operator ordering and corresponding vacuum states. When p>1, operator orderings leading to critical dimension in the p=1 case are not allowed. Admissable orderings give no restrictions on the dimension of the embedding space-time. Finally, a generalization to supersymmetric null branes is proposed.
12 pages, LaTeX 2.09. Title changed. Change in the transition from second class constraints to first class ones. Comments, conclusions, references, acknowledgments and report-no added