Constructs index saddle for D1-D5-P black string via BPS limit and uplift, with decoupling to BTZ x S^3 computing CFT index.
Black holes in N=8 supergravity from SO(4,4) hid- den symmetries,
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Index saddle for the D1-D5-P black string and its decoupling limit
Constructs index saddle for D1-D5-P black string via BPS limit and uplift, with decoupling to BTZ x S^3 computing CFT index.