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TWISTED SUPERSPACE FOR N=D=2 SUPER BF AND YANG–MILLS WITH DIRAC–KÄHLER FERMION MECHANISM

2003/10/27 by Junji Kato, JUNJI KATO, Noboru Kawamoto +3
Physics and Astronomy · #Action (physics) #BRST quantization #Black Holes and Theoretical Physics #Fermion #Instanton #Particle physics theoretical and experimental studies #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Spinor #Superfield #Superspace #hep-th

paper · pdf · doi:10.1142/s0217751x0401763x

published as Int.J.Mod.Phys. A19 (2004) 2149-2182 · 36 pages

arxiv created 2003/10/27 · openalex publication_date 2004/05/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations