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Wall Crossing and M-theory

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arxiv 0908.1194 v1 pith:72DYT3P5 submitted 2009-08-08 hep-th math.AG

Wall Crossing and M-theory

classification hep-th math.AG
keywords statesboundbranescalabi-yaufoldfunctionm-theoryspace
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space.

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