Symplectic geometry and (super-)Poincaré algebra in geometrical theories

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Abstract

Using symplectic geometry, we study realizations of Poincaré symmetries in Yang-Mills theory, general relativity, and string field theory. We derive expressions for Poincaré charges and, focusing on string field theory, show that they provide us with homomorphism from Poincaré algebra into the algebra of continuous functions on the phase space. © 1987.

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Crnković, Č. (1987). Symplectic geometry and (super-)Poincaré algebra in geometrical theories. Nuclear Physics, Section B, 288(C), 419–430. https://doi.org/10.1016/0550-3213(87)90221-5

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