Twisted Superspace for N=D=2 Super BF and Yang-Mills with Dirac-Kähler Fermion Mechanism

Abstract

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-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.

36 pages

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Cited by in corpus (34)

• Exact lattice supersymmetry
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
• Twisted Superspace on a Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• From Twisted Supersymmetry to Orbifold Lattices
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Observing dynamical supersymmetry breaking with euclidean lattice simulations
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• N=4 Twisted Superspace from Dirac-Kahler Twist and Off-shell SUSY Invariant Actions in Four Dimensions
• Lattice formulation of (2,2) supersymmetric gauge theories with matter fields
• Twisted supersymmetric sigma model on the lattice
• First results from simulations of supersymmetric lattices
• Supersymmetric Yang--Mills theories with exact supersymmetry on the lattice
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Exact Supersymmetry with Interactions for D=1 N=2
• Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
• Matrix formulation of superspace on 1D lattice with two supercharges
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
• Topological hypermultiplet on N=2 twisted superspace in four dimensions
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2
• Supersymmetric quiver gauge theories on the lattice
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Topologically twisted renormalization group flow and its holographic dual
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• Quaternion based generalization of Chern-Simons theories in arbitrary dimensions
• Off-shell Invariant D=N=2 Twisted Super Yang-Mills Theory with a Gauged Central Charge without Constraints
• Off-shell BRST-VSUSY superalgebra for D=4 BF theories in the superconnection formalism