Trigonometric structure constants for new infinite-dimensional algebras

Abstract Novel infinite-dimensional algebras of the Virasoro/Kac-Moody/Floratos-Iliopoulos type are introduced, which involve trigonometric functions in their structure constants. They are then supersymmetrized, and relevant features of them are explored. An associated “lazy tongs” formulation of the SU (2) Kac-Moody algebra is also given.