Twisted superspace for \(N=D=2\) super BF and Yang-Mills with Dira-Kähler fermion mechanism. (English) Zbl 1080.81064
Summary: We propose a twisted \(D=N=2\) superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudoscalar super charges and the \(N=2\) spinor super charges is established. We claim that this relation is essentially related with the Dirac-Kähler 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.
MSC:
| 81T45 | Topological field theories in quantum mechanics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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