Melvin space-times in supergravity

We consider Melvin-like cosmological and static solutions for the theories of N = 2, D = 4 supergravity coupled to vector multiplets. We analyze the equations of motion and give some explicit solutions with one scalar and two gauge fields. Generalized Melvin solutions with four charges are also constructed for an embedding of a truncated N = 8 supergravity theory. Our results are then extended to supergravity theories with the scalar manifolds SL(N, R)/SO(N, R). It is shown that solutions with N charges only exist for N = 8, 6 and 5 corresponding to theories with space-time dimensions D = 4, 5 and 7.

Automated summary

This paper examines Melvin-like cosmological and static solutions in N = 2, D = 4 supergravity theories coupled to vector multiplets. The equations of motion are analyzed and explicit solutions with one scalar and two gauge fields are presented. Generalized Melvin solutions with four charges are also constructed for a truncated N = 8 supergravity theory. The results are then extended to supergravity theories with the scalar manifolds SL(N, R)/SO(N, R), showing that solutions with N charges exist only for specific spacetime dimensions.