Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-27
Int.J.Mod.Phys. A19 (2004) 2149-2182
Physics
High Energy Physics
High Energy Physics - Theory
36 pages
Scientific paper
10.1142/S0217751X0401763X
We propose a twisted D=N=2 superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudo scalar super charges and the N=2 spinor super charges is established. We claim that this relation is essentially related with the Dirac-K\"ahler fermion mechanism. We show that a fermionic bilinear form of twisted N=2 chiral and anti-chiral superfields is equivalent to the quantized version of BF theory with the Landau type gauge fixing while a bosonic bilinear form leads to the N=2 Wess-Zumino action. We then construct a Yang-Mills action described by the twisted N=2 chiral and vector superfields, and show that the action is equivalent to the twisted version of the D=N=2 super Yang-Mills action, previously obtained from the quantized generalized topological Yang-Mills action with instanton gauge fixing.
Kato Junji
Kawamoto Noboru
Uchida Yukiya
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