| Preprint | |
| Report number | MPP-2024-224 ; CERN-TH-2024-204 ; arXiv:2412.03640 |
| Title | Finiteness and the Emergence of Dualities |
| Author(s) | Delgado, Matilda (Garching, Max Planck Inst. ; Harvard U., Phys. Dept.) ; van de Heisteeg, Damian (Harvard U., Phys. Dept.) ; Raman, Sanjay (Harvard U., Phys. Dept.) ; Torres, Ethan (CERN) ; Vafa, Cumrun (Harvard U., Phys. Dept.) ; Xu, Kai (Harvard U., Phys. Dept.) |
| Document contact | Contact: arXiv |
| Imprint | 2024-12-04 |
| Number of pages | 54 |
| Note | v2: 54 pages, 1 figure, references added, clarifications added |
| Subject category | math.DG ; Mathematical Physics and Mathematics ; math.AG ; Mathematical Physics and Mathematics ; hep-th ; Particle Physics - Theory |
| Abstract | We argue that the finiteness of quantum gravity amplitudes in fully compactified theories (at least in supersymmetric cases) leads to a bottom-up prediction for the existence of non-trivial dualities. In particular, finiteness requires the moduli space of massless fields to be compactifiable, meaning that its volume must be finite or at least grow no faster than that of Euclidean space. Moreover, we relate the compactifiability of moduli spaces to the condition that the lattice of charged objects transform in a semisimple representation under the action of the duality group. These ideas are supported by a wide variety of string theory examples. |
| Other source | Inspire |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) |
Notice créée le 2024-12-07, modifiée le 2024-12-26
