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

Abstract

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.

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

References in corpus (4)

• Refining the classification of the irreps of the 1D N-Extended Supersymmetry
• Shadow Fields and Local Supersymmetric Gauges
• Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
• On non-minimal N=4 supermultiplets in 1D and their associated sigma-models

Cited by in corpus (3)

• Supersymmetric Oscillator: Novel Symmetries
• Twisted Superalgebras and Cohomologies of the N=2 Superconformal Quantum Mechanics
• A world-line framework for 1D Topological Conformal sigma-models