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Twisted Superspace for N=D=2 Super BF and Yang-Mills with Dirac-K\"ahler Fermion Mechanism
High Energy Physics - Theory · Submitted 27 Oct 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a twisted D=N=2 superspace formalism. | contribution 0.99 | 0.92 | 0.10 | asserted 0.84 |
| s1 | 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. | result 0.55 | 0.82 | 0.11 | asserted 1.00 |
| s2 | We claim that this relation is essentially related with the Dirac-K\"ahler fermion mechanism. | interpretation 0.99 | 0.56 | 0.21 | asserted 0.76 |
| s3 | 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. | result 0.98 | 0.93 | 0.28 | asserted 1.00 |
| s4 | 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. | contribution 0.57 | 0.92 | 0.24 | asserted 1.00 |
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Original 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-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.
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How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 2 papers
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See also Ref. [ref] .] [equation] where Roman indices $M$ and $N$ run over 0, 1, 2 and 3, while Greek indices $μ$ and $ν$ below run over only 0 and 1. $F_MN$ are field strengths $F_MN=∂_MA_N-∂_NA_M+i[A_M,A_N]$ and covariant derivatives $D_M$ are defined with respect to the adjoint representation, $D_MΨ=∂_MΨ+i[A_M,Ψ]$.
Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory · Preliminaries in the continuum theory · 0.94
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Note that this system is a 2-dimensional cousin of 4-dimensional $𝒩=4$ system in terms of Dirac-Kähler twist [ref] .
Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group · Introduction · 0.92
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