Anomalies in super p-branes

Details Anomalies in super p-branes Anomalies in super p-branes

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5.1157b&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, Sept. 1, 1988, p. 1157-1168.

Computer Science

14

Gravitation Theory, Space-Time Functions, String Theory, Supersymmetry, Hamiltonian Functions, Minkowski Space, Modal Response, Perturbation Theory, Quantum Mechanics

Scientific paper

The Green-Schwarz action for the superstring may be generalized to the case of extended objects of p spatial dimensions. Twelve such super p-branes exist classically, including the superstring in ten, six, four, and three space-time dimensions. It is known for the superstring that only the 10-dimensional theory is consistent at the quantum level. In the light-cone quantization employed here, the consistency of the theory is tested by the closure of the space-time Lorentz and supersymmetry algebras. For the higher-dimensional super p-branes, the corresponding analysis is much more complicated, owing to the intrinsic nonlinearity principles of the theories. Counting tests are applied to the twelve super p-branes, and, it is concluded that all, except for the 10-dimensional superstring and the 11-dimensional supermembrane, are quantum-mechanically inconsistent. The 11-dimensional case passes all the tests performed.

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