We show that the quiver Hecke superalgebras and their cyclotomic quotients provide a supercategorification of quantum Kac-Moody algebras and their integrable highest weight modules.
Bibliographical noteFunding Information:
The first author’s work was supported by NRF Grant # 2012-005700 and NRF Grant # 2011-0027952 . The second author’s work was supported by Grant-in-Aid for Scientific Research (B) 22340005 , Japan Society for the Promotion of Science . The third author’s work was supported by BK21 Mathematical Sciences Division and NRF Grant # 2012-005700 .
- Cyclotomic quotients
- Quantum Kac-Moody algebras
- Quiver Hecke superalgebras