Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2610.27058

Scale-separated AdS vacua on Riemann-Flat Manifolds

Miquel Aparici·Ivano Basile·Bruno Valeixo Bento·Miguel Montero
View original source ↗Read source document ↗Export metadata ↓

Abstract

Supergravity compactifications supported by fluxes and Casimir energy offer a simple strategy to concoct explicit, controlled and isolated vacua with parametric scale separation and soft supersymmetry breaking. Exploiting the special properties of both the Casimir and flux potentials with respect to Laplacian operators in moduli space, we prove that the simplest such class of solutions, given by toroidal compactifications of eleven-dimensional supergravity threaded by any fluxes, always exhibit perturbative instabilities in the form of tachyonic modes below the BF bound. This no-go theorem applies to any toroidal supergravity compactification supported by $p$-form fluxes. We also study compactifications on more general Riemann-flat manifolds (RFM's). Concretely, we find a tachyon-free AdS$_4$ vacuum by compactifying M-Theory on a $T^7/\mathbb{Z}_2^3$. This constitutes the first ever example of a fully top-down, perturbatively stable, scale-separated AdS without localized sources.

Explore related subjects

hep-thgr-qc

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Miquel Aparici, Ivano Basile, Bruno Valeixo Bento, Miguel Montero. 2026-10-19. Scale-separated AdS vacua on Riemann-Flat Manifolds. https://arxiv.org/abs/2610.27058

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Local uniqueness of the Black String with small circle size

In this article we study uniqueness of the Black String, i.e. the product of 4-dimensional Schwarzschild space with a circle of length L. In arXiv:2410.20967, this was reduced to a non-linear elliptic PDE, and we use this setup to show that for small L the Black String is infinitesimally rigid as a Ricci-flat metric. Using a fixed point theorem, we prove that this implies local uniqueness, i.e. there exist no other Ricci-flat metrics near the Black String, and we give bounds for the size of the neighborhood in which the Black String is unique. We compare this with the toy problem of a scalar field satisfying an elliptic equation that was already solved in arXiv:2410.20967 using different methods. In this case we can use the fixed point theorem method to prove not just a local but a global statement.

hep-th↗
arXiv2026

Decrease of the entanglement entropy of the Hawking radiation induced by backreaction in the Bose-Einstein condensate

We analytically study the effect of backreaction from analog Hawking radiation on its entanglement entropy in the Bose-Einstein condensate (BEC). The backreaction is expected to play an essential role in the decrease of the entanglement entropy and in realizing the Page curve. Since the BEC theory has microscopic Hamiltonian and thus exhibits unitarity, it is desirable to reproduce the Page curve explicitly by using the Hamiltonian. As the first step towards this goal, we concretely study the BEC with a step-like configuration that has been extensively studied in the literature. By using the microscopic theory, we derive an explicit form of backreaction from analog Hawking radiation. Combining it with the known results of the Bogoliubov coefficients, we analytically compute the entanglement entropy of the Hawking radiation, and show that the backreaction reduces the growth of the entanglement entropy as expected for sufficiently low energy modes over a wide range of the parameter characterizing the step-like configuration.

hep-th↗
arXiv2026

Batalin-Vilkovisky quantization with an angular twist

We construct cubic scalar field theory on $λ$-Minkowski space by combining the Batalin-Vilkovisky formalism with harmonic analysis, and produce two inequivalent noncommutative quantum field theories. The braided theory is based on a braided $L_\infty$-algebra whereby covariance dictates a spectral decomposition into cylindrical Bessel functions that diagonalise the angular Drinfel'd twist; in this theory we find the usual logarithmic ultraviolet divergences and confirm the absence of UV/IR mixing. The standard noncommutative theory is based on a classical $L_\infty$-algebra; in this theory we relate the spectral decompositions into plane wave and cylindrical harmonic eigenmodes of the Klein-Gordan operator, we verify the planar equivalence theorem, and we demonstrate a periodic form of UV/IR mixing in which non-planar correlators are generically ultraviolet finite but become non-analytic on an infinite lattice of exceptional momenta.

hep-th↗