An infinite-dimensional gauge algebra (DISG) is defined in terms of string vertex operators. The DISG reproduce the gauge algebra of 4D, N = 4 compactifications of the heterotic string, and is invariant under the full internal duality group O(6, 22, Z). The DISG is an indefinite signature lattice algebra which contains affine Lie algebras of any level. It uniquely specifies the N = 4 low-energy effective lagrangian for gravitational and matter N = 4 multiplets. The gauge symmetries are broken on any background to a finite-dimensional gauge group. Orbifold truncations to N = 1, 2 are defined and studied for the case of ZN orbifolds. Inclusion of higher spin fields and the appearance of "duality forms" due to integration of massive fields are discussed.
ASJC Scopus subject areas
- Nuclear and High Energy Physics