Finiteness and the Emergence of Dualities
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912542582898688 |
|---|---|
| author | Delgado, Matilda van de Heisteeg, Damian Raman, Sanjay Torres, Ethan Vafa, Cumrun Xu, Kai |
| author_facet | Delgado, Matilda van de Heisteeg, Damian Raman, Sanjay Torres, Ethan Vafa, Cumrun Xu, Kai |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finiteness and the Emergence of Dualities Delgado, Matilda van de Heisteeg, Damian Raman, Sanjay Torres, Ethan Vafa, Cumrun Xu, Kai High Energy Physics - Theory Algebraic Geometry Differential Geometry 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. |
| title | Finiteness and the Emergence of Dualities |
| topic | High Energy Physics - Theory Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2412.03640 |