= M-theory torus duality
{c}
{title2=$\tau_{T^2}=C_0+i/g_B$}
<M-theory> on a two-torus and <type IIB superstring theory> on a circle describe the same nine-dimensional physics. Torus shape supplies the <axion-dilaton>; torus area supplies the circle-radius modulus after matching metrics. An <M2-brane> on a one-cycle gives a <(p,q) string>; an <M5-brane> on the whole torus gives a <D3-brane>. Matching brane charges and tensions establishes the dictionary in https://arxiv.org/abs/hep-th/9510086[The Power of M Theory].
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