TL;DR
This paper links supermembrane wrapping modes to black hole mass formulas, showing that wrapped supermembranes induce spontaneous supersymmetry breaking and suggesting a fundamental reason for SUSY breaking in our universe.
Contribution
It identifies the supermembrane's Hamiltonian with black hole mass formulas and demonstrates how wrapping induces SUSY breaking and stabilizes compact dimensions.
Findings
Supermembrane modes correspond to SL(2,Z) black hole masses.
Wrapping induces spontaneous N=2 to N=1 SUSY breaking.
Supersymmetry restoration and decompactification are prevented by stability constraints.
Abstract
The Hamiltonian of the wrapping and KK modes of the supermembrane is identified with the SL(2, Z) symmetric axion-dilaton black hole mass formula. It means that the supermembrane with KK modes wrapped times around the space-time torus of compactified dimensions induces the superpotential breaking spontaneously N=2 down to N=1 SUSY. The supersymmetry breaking parameter Lambda is inversely proportional to the area A of the space-time torus around which the supermembrane wraps. The restoration of supersymmetry as well as decompactification of higher dimensions of space-time are forbidden by the requirement of stability of the wrapped supermembrane. This may be an ultimate reason why supersymmetry is broken in the real world.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsModular Robots and Swarm Intelligence · Cellular Automata and Applications · Interconnection Networks and Systems