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

A compound of Formula (B):

• and pharmaceutically acceptable salts, solvates, hydrates, polymorphs, co-crystals, tautomers, stereoisomers, isotopically labeled derivatives, and prodrugs 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(RB1b2, —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;
• p is 0, 1, 2, 3, or 4.

A compound of Formula (C):

• and pharmaceutically acceptable salts, solvates, hydrates, polymorphs, co-crystals, tautomers, stereoisomers, isotopically labeled derivatives, and prodrugs thereof, wherein
• XC1 is oxygen, sulfur, or NRC1a, wherein RC1a is hydrogen, a nitrogen protecting group, or C1-6 alkyl;
• each instance of XC2, XC3, and XC4 is independently nitrogen or CRC4a, wherein RC4a is hydrogen, halogen, or C1-6 alkyl;
• L is a bond;
• cyclic or acyclic, substituted or unsubstituted alkylene;
• cyclic or acyclic, substituted or unsubstituted alkenylene;
• cyclic or acyclic, substituted or unsubstituted alkynylene;
• cyclic or acyclic, substituted or unsubstituted heteroalkylene;
• cyclic or acyclic, substituted or unsubstituted heteroalkenylene;
• cyclic or acyclic, substituted or unsubstituted heteroalkynylene;
• substituted or unsubstituted arylene;
• or substituted or unsubstituted heteroarylene;
• each instance of RC1 and RC2 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, —ORC2a, —N(RC2b)2, —SRC2a, —C(═O)RC2a, —C(═O)ORC2a, —C(═O)SRC2a, —C(═O)N(RC2b)2, —OC(═O)RC2a, —OC(═O)ORC2a, —OC(═O)SRC2a, —OC(═O)N(RC2b)2, —NRC2bC(═O)RC2b, —NRC2bC(═O)ORC2a, —NRC2bC(═O)SRC2a, —NRC2bC(═O)N(RC2b)2, —SC(═O)RC2a, —SC(═O)ORC2a, —SC(═O)SRC2a, —SC(═O)N(RC2b)2, —C(═NRC2b)RC2a, —C(═NRC2b)ORC2a, —C(═NRC2b)SRC2a, —C(═NRC2b)N(RC2b)2, —OC(═NRC2b)RC2a, —OC(═NRC2b)ORC2a, —OC(═NRC2b)SRC2a, —OC(═NRC2b)N(RC2b)2, —NRC2bC(═NRC2b)RC2b, —NRC2bC(═NRC2b)ORC2a, —NRC2bC(═NRC2b)SRC2a, —NRC2bC(═NRC2b)N(RC2b)2, —SC(═NRC2b)RC2a, —SC(═NRC2b)ORC2a, —SC(═NRC2b)SRC2a, —SC(═NRC2b)N(RC2b)2, —C(═S)RC2a, —C(═S)ORC2a, —C(═S)SRC2a, —C(═S)N(RC2b)2, —OC(═S)RC2a, —OC(═S)ORC2a, —OC(═S)SRC2a, —OC(═S)N(RC2b)2, —NRC2bC(═S)RC2b, —NRC2bC(═S)ORC2a, —NRC2bC(═S)SRC2a, —NRC2bC(═S)N(RC2b)2, —SC(═S)RC2a, —SC(═S)ORC2a, —SC(═S)SRC2a, —SC(═S)N(RC2b)2, —S(═O)RC2a, —SO2RC2a, —NRC2bSO2RC2a, —SO2N(RC2b)2, —CN, —SCN, and —NO2, wherein each occurrence of RC2a 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 RC2b 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 RC2b groups are joined to form an optionally substituted heterocyclic ring;
• q is 0, 1, 2, 3, or 4;
• and
• r is 0, 1, 2, 3, 4, or 5.

A compound of Formula (D):

• and pharmaceutically acceptable salts, solvates, hydrates, polymorphs, co-crystals, tautomers, stereoisomers, isotopically labeled derivatives, and prodrugs 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(═)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)RD4a, —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.