Activators of class i histone deacetylases (hdacs) and uses thereof

A compound of Formula (D):

• or a pharmaceutically acceptable salt, solvate, hydrate, polymorph, co-crystal, tautomer, stereoisomer, isotopically labeled derivative, or prodrug thereof, wherein
• each instance of XD1 is independently oxygen, sulfur, —NRD1a, or C(RD1b)2, wherein RD1a is hydrogen or C1-6 alkyl, and each occurrence of RD1b is hydrogen, halogen, or C1-6 alkyl, or two RD1b groups are joined to form an optionally substituted carbocyclic or heterocyclic ring;
• s is 0, 1, 2, 3, 4, 5, or 6;
• each instance of RD1 and RD2 is independently hydrogen, an oxygen protecting group, C1-6 alkyl, —C(═O)RD2a, —C(═O)ORD2a, —C(═O)SRD2a, —C(═O)N(RD2b)2, —S(═O)RD2a, or —S(═O)2RD2a wherein each occurrence of RD2a is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, or optionally substituted heteroaryl, and each occurrence of RD2b is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, or a nitrogen protecting group, or two RD2b groups are joined to form an optionally substituted heterocyclic ring;
• each instance of RD3 and RD4 is independently selected from the group consisting of halogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, —ORD4a, —N(RD4b)2, —SRD4a, —C(═O)RD4a, —C(═O)ORD4a, —C(═O)SRD4a, —C(═O)N(RD4b)2, —OC(═O)RD4a, —OC(═O)ORD4a, —OC(═O)SRD4a, —OC(═O)N(RD4b)2, —NRD4bC(═O)RD4b, —NRD4bC(═O)ORD4a, —NRD4bC(═O)SRD4a, —NRD4bC(═O)N(RD4b)2, —SC(═O)RD4a, —SC(═O)ORD4a, —SC(═O)SRD4a, —SC(═O)N(RD4b)2, —C(═NRD4b)RD4a, —C(═NRD4b)ORD4a, —C(═NRD4b)SRD4a, —C(═NRD4b)N(RD4b)2, —OC(═NRD4b)RD4a, —OC(═NRD4b)ORD4a, —OC(═NRD4b)SRD4a, —OC(═NRD4b)N(RD4b)2, —NRD4bC(═NRD4b)RD4b, —NRD4bC(═NRD4b)ORD4a, —NRD4bC(═NRD4b)SRD4a, —NRD4bC(═NRD4b)N(RD4b)2, —SC(═NRD4b)RD4aa, —SC(═NRD4b)ORD4a, —SC(═NRD4b)SRD4a, —SC(═NRD4b)N(RD4b)2, —C(═S)RD4a, —C(═S)ORD4a, —C(═S)SRD4a, —C(═S)N(RD4b)2, —OC(═S)RD4a, —OC(═S)ORD4a, —OC(═S)SRD4a, —OC(═S)N(RD4b)2, —NRD4bC(═S)RD4b, —NRD4bC(═S)ORD4a, —NRD4bC(═S)SRD4a, —NRD4bC(═S)N(RD4b)2, —SC(═S)RD4a, —SC(═S)ORD4a, —SC(═S)SRD4a, —SC(═S)N(RD4b)2, —S(═O)RD4a, —SO2RD4a, —NRD4bSO2RD4a, —SO2N(RD4b)2, —CN, —SCN, and —NO2, wherein each occurrence of RD4a is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, or optionally substituted heteroaryl, and each occurrence of RD4b is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, or a nitrogen protecting group, or two RD4b groups are joined to form an optionally substituted heterocyclic ring;
• t is 0, 1, 2, or 3;
• and
• u is 0, 1, 2, 3, 4 or 5.

A method for treating a neurological disorder in a subject in need thereof, the method comprising administering to the subject a therapeutically effective amount of a compound of Formula (B):

• or a pharmaceutically acceptable salt, solvate, hydrate, polymorph, co-crystal, tautomer, stereoisomer, isotopically labeled derivative, or prodrug thereof, wherein
• each instance of XB1, XB3, and XB4 is independently oxygen, sulfur, —NRB4a, or C(RB4b)2, wherein RB4a is hydrogen, a nitrogen protecting group, or C1-6 alkyl, and each occurrence of RB4b is hydrogen, halogen, or C1-6 alkyl, or two RB4b groups are joined to form an optionally substituted carbocyclic or heterocyclic ring;
• XB2 is nitrogen or CRB2a, wherein RB2a is hydrogen, halogen, or C1-6 alkyl;
• each instance of RB1 is independently selected from the group consisting of halogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, —ORB1a, —N(RB1b)2, —SRB1a, —C(═O)RB1a, —C(═O)ORB1a, —C(═O)SRB1a, —C(═O)N(RB1b)2, —OC(═O)RB1a, —OC(═O)ORB1a, —OC(═O)SRB1a, —OC(═O)N(RB1b)2, —NRB1bC(═O)RB1b, —NRB1bC(═O)ORB1a, —NRB1bC(═O)SRB1a, —NRB1bC(═O)N(RB1b)2, —SC(═O)RB1a, —SC(═O)ORB1a, —SC(═O)SRB1a, —SC(═O)N(RB1b)2, —C(═NRB1b)RB1a, —C(═NRB1b)ORB1a, —C(═NRB1b)SRB1a, —C(═NRB1b)N(RB1b)2, —OC(═NRB1b)RB1a, —OC(═NRB1b)ORB1a, —OC(═NRB1b)SRB1a, —OC(═NRB1b)N(RB1b)2, —NRB1bC(═NRB1b)RB1b, —NRB1bC(═NRB1b)ORB1a, —NRB1bC(═NRB1b)SRB1a, —NRB1bC(═NRB1b)N(RB1b)2, —SC(═NRB1b)RB1a, —SC(═NRB1b)ORB1a, —SC(═NRB1b)SRB1a, —SC(═NRB1b)N(RB1b)2, —C(═S)RB1a, —C(═S)ORB1a, —C(═S)SRB1a, —C(═S)N(RB1b)2, —OC(═S)RB1a, —OC(═S)ORB1a, —OC(═S)SRB1a, —OC(═S)N(RB1b)2, —NRB1bC(═S)RB1b, —NRB1bC(═S)ORB1a, —NRB1bC(═S)SRB1a, —NRB1bC(═S)N(RB1b)2, —SC(═S)RB1a, —SC(═S)ORB1a, —SC(═S)SRB1a, —SC(═S)N(RB1b)2, —S(═O)RB1a, —SO2RB1a, —NRB1bSO2RB1a, —SO2N(RB1b)2, —CN, —SCN, and —NO2, wherein each occurrence of RB1a is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, or optionally substituted heteroaryl, and each occurrence of RB1b is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, or a nitrogen protecting group, or two RB1b groups are joined to form an optionally substituted heterocyclic ring;
• each instance of RB2, RB3, RB4, and RB5 is independently hydrogen, halogen, or C1-6 alkyl;
• RB6 is hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, —ORB6a, —N(RB6b)2, or —SRB6a, wherein each occurrence of RB6a is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, or optionally substituted heteroaryl, and each occurrence of RB6b is independently hydrogen, optionally substituted alkyl, optionally substituted alkenyl, optionally substituted alkynyl, optionally substituted carbocyclyl, optionally substituted heterocyclyl, optionally substituted aryl, optionally substituted heteroaryl, or a nitrogen protecting group, or two RB6b groups are joined to form an optionally substituted heterocyclic ring;
• and
• p is 0, 1, 2, 3, or 4.