@article{b8f2dfa745d744e790dc8837417a4490,
title = "Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds",
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.",
keywords = "3-brane, Calabi-Yau four-folds, Cayley cycles, Exceptional holonomy manifolds, Mirror symmetry, Special Lagrangian submanifolds, Supersymmetric cycles",
author = "Katrin Becker and Melanie Becker and Morrison, {David R.} and Hirosi Ooguri and Yaron Oz and Zheng Yin",
note = "Funding Information: We would like to thankR . Bryant,G . Moore,R . PlesserJ,. PolchinskiA, . Schwimmer, A. StromingerC,. Vafa, and Y. Vlassopoulofso r usefuld iscussionsD.. R.M. and H.O. are gratefuflo r the hospitalitoy f the AspenC enterf or Physicsd uringt hefinal stageso f this projectT. he work of K.B. was supportebdy NSF grantP HY89-04035T. he work of M.B. was supportebdy DOE grantD OE-91ER40618T.h e work of D.R.M. was supporteidn part by the NationalS cienceF oundationu nderg rantD MS-9401447T. he work of H.O. was supporteidn partb y NSF grantP HY-951497a ndDOE grantD E-AC03-76SF00098. Y.O. is partiallys upportebdy the Israel ScienceF oundationth rought he Centerf or the Physicso f Basic InteractionsZ.. Y. is supportebdy a GraduateR esearchF ellowshipo f the U.S. Departmenotf Education.",
year = "1996",
month = nov,
day = "25",
doi = "10.1016/S0550-3213(96)00491-9",
language = "אנגלית",
volume = "480",
pages = "225--238",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1-2",
}