Corrugated Multi-Supersheets

We explore the multi-superthreads and supersheets solutions of six-dimensional N=1 supergravity coupled to a tensor multiplet. The solutions carry D1-D5-P charges, but no Kaluza-Klein monopole. We lay down the formalism to construct multiple supersheets with arbitrary and independent profiles. The solution is by construction free of Dirac strings in contrast to the five-dimensional construction where one has to separately solve integrability conditions. We explore this formalism to construct supersheets that fluctuate in both directions allowing a more general choice of profiles. These new solutions are genuinely six-dimensional, singular, fluctuating BPS solutions and by analyzing them we expect to learn more about the conjectured superstrata. We also derive the conditions under which different supersheets can touch, or even intersect through each other.