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arXiv · 2508.05117

Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion

Ümit Ertem·Özgür Kelekçi·Özgür Açık
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Abstract

We consider conformal Killing-Yano forms corresponding to the antisymmetric generalizations of conformal Killing vectors to higher degree forms in the presence of skew-symmetric torsion. Integrability conditions for torsionful conformal Killing-Yano forms are found and a graded Lie bracket for conformal Killing-Yano forms to constitute a graded Lie algebra structure is proposed. It is found that a graded Lie algebra structure for a special subset of torsionful conformal Killing-Yano forms can be constructed for a closed and parallel skew-symmetric torsion on constant curvature and Einstein manifolds. Similar structure for generalized hidden symmetries defined from generalized connection in generalized geometry is also constructed.

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Ümit Ertem, Özgür Kelekçi, Özgür Açık. 2025-08-07. Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion. https://doi.org/10.1088/1361-6382%2Fae1097

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