Calibrated brane solutions of M-theory

Abstract

Close studies of the solitonic solutions of D=11 N=1 supergravity theory provide a deeper understanding of the elusive M-theory and constitute steps towards its final formulation. In this work, we propose the use of calibration techniques to find localized intersecting brane solutions of the theory. We test this hypothesis by considering Kahler and special Lagrangian calibrations. We also discuss the interpretation of some of these results as branes wrapped or reduced over supersymmetric cycles of Calabi-Yau manifolds and we find the corresponding solutions in D=5 N=2 supergravity.

Ph.D dissertation, 153 pages, 1 figure

Cited by in corpus (7)

• Five dimensional 2-branes from special Lagrangian wrapped M5-branes
• Wrapped M5-branes leading to five dimensional 2-branes
• The many symmetries of Calabi-Yau compactifications
• Symplectic covariance of the N=2 hypermultiplets
• Split-complex representation of the universal hypermultiplet
• Five dimensional 2-branes and the universal hypermultiplet
• The Geometry of M-Branes Wrapping Special Lagrangian Cycles