2014/05/31 by Nicolò Piazzalunga, Angel M. Uranga, Angel Uranga · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Domain wall (magnetism) #Integer (computer science) #Lift (data mining) #Noncommutative and Quantum Gravity Theories #Orientifold #Realization (probability) #String (physics) #Topological string theory #Topology (electrical circuits) #Winding number #hep-th #math.AG
paper · pdf · doi:10.1007/jhep08(2014)054
published as JHEP 08 (2014) 054 · pdflatex, 29 pages, 1 figure; v2: minor changes (ref 29 added, appendix A title corrected)
openalex publication_date 2014/08/01 · arxiv created 2014/08/13 · arxiv updated 2014/08/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.