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Geometric Resolution of Schwarzschild Horizon
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We provide the first example of a geometric transition that resolves the Schwarzschild black hole into a smooth microstructure in eleven-dimensional supergravity on a seven-torus. The geometry is indistinguishable from a Schwarzschild black hole dressed with a scalar field in four dimensions, referred to as a Schwarzschild scalarwall. In eleven dimensions, the scalar field arises as moduli of the torus. The resolution occurs at an infinitesimal scale above the horizon, where it transitions to a smooth bubbling spacetime supported by M2-brane flux.
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The Special Locus
The special locus is equivalent to vanishing twisted gauge fields in 3D and to the 6D identity B2 = 1/4 B1, which trivializes one anti-self-dual tensor multiplet.
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