Exotic Branes from del Pezzo Surfaces

Abstract

We revisit a correspondence between toroidal compactifications of M-theory and del Pezzo surfaces, in which rational curves on the del Pezzo are related to $\frac{1}{2}$-BPS branes of the corresponding compactification. We argue that curves of higher genus correspond to non-geometric backgrounds of the M-theory compactifications, which are related to exotic branes. In particular, the number of "special directions" of the exotic brane is equal to the genus of the corresponding curve. We also point out a relation between addition of curves in the del Pezzo and the brane polarization effect.

5 pages; v2: typos corrected, references added

References in corpus (7)

• Double Field Theory
• Doubled Geometry and T-Folds
• Weaving the Exotic Web
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Wrapping rules (in) string theory

Cited by in corpus (2)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry