Submissions from R. N. Livio

[1]  faKiv:2403.07296 [pdf]
Symmetries and Hilbert spaces of BPS states in a generalized monopole
Comments: 33 pages, 1 figure

A generalized monopole is composed of a value of the free parameter that is invariant under the lattice renormalization group of the lattice state and the value of the free parameter that is not invariant under the lattice renormalization group. We study the applicability of this formula to the case where the lattice parameter of the lattice state is non-negative and the lattice parameter of the lattice state is positive. The results show that the lattice parameter of the lattice state is positive and the lattice parameter of the lattice state is negative. Based on these findings, we consider the case where the lattice parameter of the lattice state is positive and the lattice parameter of the lattice state is negative. The lattice parameter of the lattice state is negative and the lattice parameter of the lattice state is positive. Based on these results, we derive the solution of the lattice renormalization group equation for the lattice parameter of the lattice state and the lattice parameter of the lattice state. In this case, the solution of the lattice renormalization group equation is found to be a solution of the lattice equation. We find that the lattice parameter of the lattice state is positive and the lattice parameter of the lattice state is negative.