Constraint Superalgebras and Their Application to Gauge Field Theories and String Theories

Details Constraint Superalgebras and Their Application to Gauge Field Theories and String Theories Constraint Superalgebras and Their Application to Gauge Field Theories and String Theories

2003-02-13

arxiv.org/abs/hep-th/0302088v1

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

We show that with every classical system possessing first class constraints that form a natural Lie algebra, we can associate a superalgebra that admits the constraint Lie algebra as a subalgebra. An odd generator of this superalgebra that commutes with the constraints is shown to be the BRST operator whose form follows from a non linear coset representation of the superalgebra. We further show the existence of the superalgebra for all Yang-Mills theories and for 26-dimensional bosonic strings.

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