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arXiv · 1405.6019

M-theory interpretation of the real topological string

Nicolò Piazzalunga·Angel Uranga
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Abstract

We describe the type IIA physical realization of the unoriented topological string introduced by Walcher, describe its M-theory lift, and show that it allows to compute the open and unoriented topological amplitude in terms of one-loop diagram of BPS M2-brane states. This confirms and allows to generalize the conjectured BPS integer expansion of the topological amplitude. The M-theory lift of the orientifold is freely acting on the M-theory circle, so that integer multiplicities are a weighted version of the (equivariant subsector of the) original closed oriented Gopakumar-Vafa invariants. The M-theory lift also provides new perspective on the topological tadpole cancellation conditions. We finally comment on the M-theory version of other unoriented topological strings, and clarify certain misidentifications in earlier discussions in the literature.

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Nicolò Piazzalunga, Angel Uranga. 2014-08-13. M-theory interpretation of the real topological string. https://doi.org/10.1007/jhep08(2014)054

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