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Generalized Cohomologies and Supersymmetry

Li-Sheng Tseng University of California, Irvine Shing-Tung Yau Harvard University

Differential Geometry mathscidoc:1702.10006

Distinguished Paper Award in 2017

Commun. Math. Phys. , 326, 875-885, 2014
We show that the complex cohomologies of Bott, Chern, and Aeppli and the symplectic cohomologies of Tseng and Yau arise in the context of type II string theory. Specifically, they can be used to count a subset of scalar moduli fields in Minkowski compactification with RR fluxes in the presence of either O5/D5 or O6/D6 brane sources, respectively. Further, we introduce a new set of cohomologies within the generalized complex geometry framework which interpolate between these known complex and symplectic cohomologies. The generalized complex cohomologies play the analogous role for counting massless fields for a general supersymmetric Minkowski type II compactification with Ramond–Ramond flux.
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@inproceedings{li-sheng2014generalized,
  title={Generalized Cohomologies and Supersymmetry},
  author={Li-Sheng Tseng, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170219071019028676470},
  booktitle={Commun. Math. Phys. },
  volume={326},
  pages={875-885},
  year={2014},
}
Li-Sheng Tseng, and Shing-Tung Yau. Generalized Cohomologies and Supersymmetry. 2014. Vol. 326. In Commun. Math. Phys. . pp.875-885. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170219071019028676470.
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