Polymerizable compound, polymer, polymerizable composition, film, and half mirror for displaying projection image

A polymerizable compound denoted by Formula (I);

• in the formula, Z1 and Z2 each independently represent a trans-1,4-cyclohexylene group which may have a substituent group, an arylene group which may have a substituent group, or a heteroarylene group which may have a substituent group,
• all of the substituent groups are each independently one to four substituent groups selected from the group consisting of —CO—X-Sp3-R3, an alkyl group, and an alkoxy group,
• m represents an integer of 1 or 2, and n represents an integer of 0 or 1,
• when m represents 2, n represents 0,
• when m represents 2, two Z1's may be identical to each other or different from each other,
• L1, L2, L3, and L4 each independently represent a linking group selected from the group consisting of a single bond, —O—, —CH2O—, —OCH2—, —(CH2)2OC(═O)—, —C(═O)O(CH2)2—, —NH—, N(CH3)—, —S—, —C(═O)O—, —OC(═O)—, —OC(═O)O—, —C(═O)N(T3)-, —N(T3)C(═O)—, —C(═O)S—, —SC(═O)—, —CH2C(═O)O—, —OC(═O)CH2—, —CH═CH—C(═O)O—, —OC(═O)—CH═CH—, —CH═N—, —N═CH—, and —N═N—,
• T3 represents -Sp4-R4,
• X represents —O—, —S—, or —N(Sp5-R5)—, or represents a nitrogen atom forming a cyclic structure along with R3 and Sp3,
• r represents an integer of 1 to 4,
• Sp1, Sp2, Sp3, Sp4, and Sp5 each independently represent a linking group selected from the group consisting of a single bond, a straight chain or branched alkylene group having 1 to 20 carbon atoms, and a group in which one or two or more —CH2—'s in a straight chain or branched alkylene group having 1 to 20 carbon atoms are substituted with —O—, —S—, —NH—, —N(CH3)—, —C(═O)—, —OC(═O)—, or —C(═O)O—,
• R1 and R2 each independently represent any one polymerizable group selected from the group consisting of groups denoted by Formula (Q-1) to Formula (Q-5) described below, and
• R3, R4, and R5 each independently represent a hydrogen atom, a cycloalkyl group, a group in which one or two or more —CH2—'s in a cycloalkyl group are substituted with —O—, —S—, —NH—, —N(CH3)—, —C(═O)—, —OC(═O)—, or —C(═O)O—, or any one polymerizable group selected from the group consisting of the groups denoted by Formula (Q-1) to Formula (Q-5) described below, and in a case in which X is a nitrogen atom forming a cyclic structure along with R3 and Sp3, R3 may represent a single bond, and when Sp5 is a single bond, R5 is not a hydrogen atom