Supersymmetry breaking in M-theory and quantization rules
Abstract
We analyze in detail supersymmetry breaking by compactification of the fifth dimension in M-theory in the compactification pattern 11d 5d 4d and find that a superpotential is generated for the complex fields coming from 5d hypermultiplets, namely the dilaton S and the complex structure moduli. Using general arguments it is shown that these fields are always stabilized such that they don't contribute to supersymmetry breaking, which is completely saturated by the K\"ahler moduli coming from vector multiplets. It is shown that this mechanism is the strong-coupling analog of the Rohm-Witten quantization of the antisymmetric tensor field strength of string theories. The effect of a gaugino condensate on one of the boundaries is also considered.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.