0 v 1 5 N ov 1 99 1 SU - ITP - 902 D = 10 SUPERSYMMETRIC CHERN - SIMONS GAUGE THEORY
نویسنده
چکیده
The Chern-Simons ten-dimensional manifestly supersymmetric non-Abelian gauge theory is presented by performing the second quantization of the superparticle theory. The equation of motion is F = (d + A) 2 = 0, where d is the nilpo-tent fermionic BRST operator of the first quantized theory and A is the anti-commuting connection for the gauge group. This equation can be derived as the condition of the gauge independence of the first quantized theory in a background field A, or from the string field theory Lagrangian of the Chern-Simons type. The trivial solutions of the cohomology are the gauge symmetries, the 1 An invited talk at the conference " Strings and Symmetries " , Stony Brook, 20–24 May 1991. 1 non-trivial solution is given by the D=10 superspace, describing the super Yang-Mills theory on shell.
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