Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-anticommutative Supersymmetric Field Theory and Quantum Shift   Non-anticommutative Grassmann coordinates in four-dimensional twist-deformed
N=1 Euclidean superspace are decomposed into geometrical ones and quantum shift
operators. This decomposition leads to the mapping from the commutative to the
non-anticommutative supersymmetric field theory. We apply this mapping to the
Wess-Zumino model in commutative field theory and derive the corresponding
non-anticommutative Lagrangian. Based on the theory of twist deformations of
Hopf algebras, we comment the preservation of the (initial) N=1
super-Poincar\'e {\it algebra} and on the consequent super-Poincar\'e invariant
interpretation of the discussed model, but also provide a measure for the
violation of the super-Poincar\'e symmetry.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph