Long 4-uniform tight cycles C_L^(4) with L not divisible by 4 have Turán density 1/2.
Keevash, Hypergraph Tur´ an problems, in Surveys in combinatorics 2011 , London Math
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The Tur\'an Density of 4-Uniform Tight Cycles
Long 4-uniform tight cycles C_L^(4) with L not divisible by 4 have Turán density 1/2.