What is the current mathematical formulation of M theory?

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Which is the current mathematical formulation of M theory, and what are its competitors?
 
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There is no basic notion of M-theory ,it only exist as a low energy supergravity.Just to support the renormalizability,we extend it in higher energy regime calling M theory.And doing some compactification on a line or circle to give rise to different string theory and then using duality to relate one with another like IIA to IIB.