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Cited by 2Black Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesRelativity and Gravitational Theory

Supersymmetry-breaking compactifications on Riemann-flat manifolds

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Dall’Agata, Gianguido, Zwirner, Fabio·2025·Journal of High Energy Physics
DOI 10.1007/jhep12(2025)131
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Abstract

A bstract: We consider compactifications of higher-dimensional supergravities on Riemann-flat manifolds of dimension d ( d ≤ 7) that fully break supersymmetry at the classical level on a resulting D -dimensional Minkowski space. We systematically discuss consistency conditions, the Kaluza-Klein (KK) spectrum and harmonics, and the resulting one-loop effective potential V 1 , focusing for illustration on maximal supergravity and d = 3, in particular on the 𝕋 3 /ℤ 3 and on the Hantzsche-Wendt manifolds. We show how the KK spectrum can be re-organized in multiplets of the broken D -dimensional supersymmetry, derive new universal supertrace mass relations valid at each redefined KK level and obtain an analytic finite expression for V 1 after resumming the contributions of all KK levels. In all examples V 1 is negative definite and scales with inverse powers of some internal radii. We extensively comment, when applicable, on the relation with the Scherk-Schwarz mechanism and with supersymmetry-breaking string compactifications on freely acting symmetric orbifolds. We also finally clarify the assumptions and constraints under which Scherk-Schwarz reductions correspond to twisted tori compactifications.

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  • Almost all studies of Casimir energy in Kaluza-Klein and string-theoretic contexts assume the size of extra dimensions is time-independent, primarily to identify static stable vacua.

    “Almost all of these studies assume that the size of the extra dimensions is time-independent, primarily because their objective is to identify static stable vacua.”

    From Stress-energy tensor of a scalar field on a product spacetime with a time-dependent compact dimension (2026) · cites this paper as [12]

    The Introduction discusses compactification models and the lack of a viable stabilization mechanism. The passage on the one-loop potential discusses corrections to a classical Minkowski vacuum, but does not say that almost all Casimir-energy studies hold the size of extra dimensions time-independent or give static stable vacua as their reason. Searches for those assumptions and that motivation found no supporting passage. (LLM, conf=0.74)

    Experimental — accuracy not yet measured

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Cited by

Sorted by citations

Authors
Dall’Agata, G., & Zwirner, F.
Affiliations
University of Padua (IT)
Corresponding author
Dall’Agata, Gianguido
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2025-12-17
Volume
2025
Issue
12
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep12(2025)131
OpenAlex
W7115930254
Cited by
2
References
0
Citations by year
2026: 2
FWCI
0.93
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • Padua Research Archive (University of Padova) (submittedVersion, cc-by)
  • arXiv (Cornell University) (cc-by)
Funders
Italian MUR Departments of Excellence (2022YZ5BA2)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
supersymmetry breaking, compactification, higher-dimensional supergravity, Kaluza-Klein spectrum, one-loop effective potential, Scherk-Schwarz mechanism, twisted tori, symmetric orbifold, string compactification

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