Becker, Katrin and Becker, Melanie and Morrison, David R. and Ooguri, Hirosi and Oz, Yaron and Yin, Zheng (1996) Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds. Nuclear Physics B, 480 (1-2). pp. 225-238. ISSN 0550-3213. doi:10.1016/S0550-3213(96)00491-9. https://resolver.caltech.edu/CaltechAUTHORS:20161220-134740171
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Abstract
We derive in the SCFT and low energy effective action frameworks the necessary and sufficient conditions for supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds. We show that the Cayley cycles in Spin(7) holonomy eight-manifolds and the associative and coassociative cycles in G2 holonomy seven-manifolds preserve half of the space-time supersymmetry. We find that while the holomorphic and special Lagrangian cycles in Calabi-Yau four-folds preserve half of the space-time supersymmetry, the Cayley submanifolds are novel as they preserve only one quarter of it. We present some simple examples. Finally, we discuss the implications of these supersymmetric cycles on mirror symmetry in higher dimensions.
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| Alternate Title: | Supersymmetric Cycles in Exceptional Holonomy Manifolds and Calabi-Yau 4-Folds | ||||||||||||||||
| Additional Information: | © 1996 Elsevier. Received 20 August 1996, Accepted 6 September 1996. We would like to thank R. Bryant, G. Moore, R. Plesser, J. Polchinski, A. Schwimmer, A. Strominger, C. Vafa, and Y. Vlassopoulos for useful discussions. D.R.M. and H.O. are grateful for the hospitality of the Aspen Center for Physics during the final stages of this project. The work of K.B. was supported by NSF grant PHY89-04035. The work of M.B. was supported by DOE grant DOE-91ER40618. The work of D.R.M. was supported in part by the National Science Foundation under grant DMS-9401447. The work of H.O. was supported in part by NSF grant PHY-951497 and DOE grant DE-AC03-76SF00098. Y.O. is partially supported by the Israel Science Foundation through the Center for the Physics of Basic Interactions. Z.Y. is supported by a Graduate Research Fellowship of the U.S. Department of Education. | ||||||||||||||||
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| Subject Keywords: | Calabi-Yau four-folds; Cayley cycles; Exceptional holonomy manifolds; Supersymmetric cycles; Mirror symmetry; 3-brane; Special Lagrangian submanifolds | ||||||||||||||||
| Issue or Number: | 1-2 | ||||||||||||||||
| Classification Code: | PACS 04.60.-m; 04.65.+e; 11.25.-w | ||||||||||||||||
| DOI: | 10.1016/S0550-3213(96)00491-9 | ||||||||||||||||
| Record Number: | CaltechAUTHORS:20161220-134740171 | ||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161220-134740171 | ||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||
| ID Code: | 72996 | ||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||
| Deposited By: | George Porter | ||||||||||||||||
| Deposited On: | 20 Dec 2016 22:57 | ||||||||||||||||
| Last Modified: | 11 Nov 2021 05:09 |
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