Mariana Grana - EFTs with symmetric moduli spaces: the landscape and the swampland

Mariana Grana - EFTs with symmetric moduli spaces: the landscape and the swampland

by Mariana Grana · View the channel on PSI

Formal & Physical Sciences Physics PHPhysicsPHPParticle and high-energy physics
🎙 Mariana Grana 👥 80K 📅 September 17, 2026 ⏱ 62 min 👁 16 📄 original study 🧭 2026-09-17
Available in: English (current) Français

Keywords

Swampland Distance Conjecturesymmetric spacesEmergent String Conjectureparabolic subgroupsKaluza-Klein towers

Summary

The talk addresses the Swampland Distance Conjecture (SDC) for effective field theories whose moduli space is a symmetric space. Assuming no supersymmetry, Grana and collaborators prove that for such symmetric moduli spaces, the SDC holds: towers of states become exponentially light in any infinite-distance limit. The exponential decay rates are determined by the Weyl polytope of the representation in which the states transform. Requiring these rates to match either tensionless string towers or Kaluza-Klein towers (the Emergent String Conjecture rates) yields a finite list of possible theories, most of which reside in the known string theory landscape and a few that appear impossible to realize in M/string theory. The proof leverages group theory, including parabolic subgroups and arithmeticity of the duality group, and implies that the duality group must be arithmetic if the moduli space is to have finite volume. The talk also discusses rational parabolic subgroups and the role of rational points in reaching boundaries.

156 words

Critical Evaluation

Value of the Information & Strength of the Argument

The value of the talk lies in providing a rigorous proof of the SDC for a broad class of EFTs, going beyond specific examples and avoiding supersymmetry assumptions. The argumentation is structured: define moduli spaces, characterize boundaries via parabolic subgroups, introduce arithmeticity from compactifiability, then derive decay rates from representation theory. The requirement that rates correspond to emergent strings or KK towers is convincingly shown to be restrictive, singling out a finite set of theories. The logical flow is clear, though it assumes significant technical background.

Scientific Rigor, Source Quality, Title Accuracy

The talk is based on ongoing research by the speaker and collaborators, but specific references are not provided in the transcript; the only external link in the description is the carmin.tv platform. No peer-reviewed sources are explicitly cited within the talk. The title accurately describes the content, and the scientific rigor is high given the mathematical detail and acknowledgment of conjectural aspects.

163 words

Title / Content Match

The title accurately reflects the content: the talk is about effective field theories with symmetric moduli spaces and their placement in the landscape versus the swampland.

Quality & Reliability

8/10

The presentation is a rigorous mathematical proof of the Swampland Distance Conjecture under specific assumptions, based on group-theoretic methods, and explicitly acknowledges the conjectural status of the emergence string conjecture.

Key Moments

Markers derived by PSI from the transcript: the creator did not define chapters.

Cited Sources

Contribution & Novelties

The talk provides a new proof of the Swampland Distance Conjecture for symmetric moduli spaces, and shows that demanding the conjectured decay rates for emergent strings or KK towers leads to a finite classification. The result bridges group theory and quantum gravity conjectures.

Pour aller plus loin :

95 words

Radar Profile

The radar profile shows high technical depth and strong methodological rigor, with slightly lower scores in quantitative breadth and accessibility, consistent with a focused research seminar for specialists.

Reliability 8/10