One-dimensional structures behind twisted and untwisted superYang-Mills theory

Details One-dimensional structures behind twisted and untwisted superYang-Mills theory One-dimensional structures behind twisted and untwisted superYang-Mills theory

2010-10-14

arxiv.org/abs/1010.3004v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Final version to appear in Lett. Math. Phys. with improved notation and misprints corrected

Scientific paper

We give a one-dimensional interpretation of the four-dimensional twisted N=1 superYang-Mills theory on a Kaehler manifold by performing an appropriate dimensional reduction. We prove the existence of a 6-generator superalgebra, which does not possess any invariant Lagrangian but contains two different subalgebras that determine the twisted and untwisted formulations of the N=1 superYang-Mills theory.

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