Submissions from Robert J. Mellett

[1]  faKiv:2403.07337 [pdf]
The DBI Group and the Time Domain
Comments: 17 pages, 1 figure

The DBI Group is a group of gauge groups that are algebraically pure, with no contributions from other groups. It is a supersymmetric group that is related to the algebraic group of the Lie algebra V2 of the N=2 super-O(N) groups. It has been suggested that DBI Group could possess an infinite number of subgroups, but this is a conjecture based on duality between the group corresponding to the subgroup of the DBI Group and that group of the Lie algebra V2. We argue that the DBI Group is the group of the Lie algebra V2 of the N=2 super-O(N) groups, and that there are DBI Group subgroups of the Lie algebra V2 whose subgroup is the group of the DBI Group. The DBI Group subgroups of the Lie algebra V2, which are the subgroups of the Lie algebra V2 of the N=2 super-O(N) groups, are found to be the group of the DBI Group. Our results illustrate the importance of using DBI Group subgroups of the Lie algebra V2 in the time domain of the massless field theory to prove the conjecture.