Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.
New Type II String Theories with Sixteen Supercharges
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abstract
We present two new backgrounds of type IIA string theory preserving 16 supercharges. One is a Wilson line for (-1) to the left-moving spacetime fermion number, and the other is an orbifold by a reflection of four coordinates, along with the action of (-1) to the left-moving spacetime fermion number. The Wilson line theory has many new phenomena, including a self-duality of type IIA on a single circle, enhanced gauge symmetry at the self-dual radius, and a T-duality between uncharged and (locally) charged branes. The orbifold theory also presents many novel features, including charged, stable non-BPS D1, D3, and D5-branes pinned to the fixed locus, and an instability of the D0-brane near the fixed locus.
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Finiteness and the Emergence of Dualities
Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.