Not at all sure, but… best serious guess… it’s a lower portion of a short chlamys rather than a rigid “belt” (as we know the term used today). Whatever it is, it IS ‘something’… AND… it IS “curious”. But surely it’s not…
i have this coin with Mars perhaps wearing a belt with items hanging from it or maybe just his cloak around his waist; though your Sol is wearing his cloak over shoulder. Maximinus II A.D. 305- 306 MAXIMINVS NOB CAESAR; laureate head right. VIRTVS AVGG ET CAESS NN; Mars nude except for helmet, boots and belt [?]; advancing right holding spear and trophy over left; • in left field. In ex. ST RIC VI Ticinum 58b
Bronze coin (AE Antoninianus) minted at Cologne during the reign of VICTORINUS between 268 - 270 A.D. Obv. IMP.C.VICTORINVS.P.F.AVG.: Radiate, draped & cuirassed bust r. Rev. INVICTVS.: Sol advancing l., r. hand raised, l. holding whip, in l. field *. RCS #3165. RICV #114 pg.396. DVM #7. Interesting, never noticed the belt!
They thought of Mars as the god of war. Sol would need some super weapons to be invincible. Those are obviously grenades.