Tootfinder

The non-maximal symmetry breaking patterns in the supersymmetric $\widehat {\mathfrak{s} \mathfrak{u}}(8)_{k_U =1}$ theory
Ning Chen, Jianan Tian, Bin Wang
https://arxiv.org/abs/2508.11160

The non-maximal symmetry breaking patterns in the supersymmetric $\widehat {\mathfrak{s} \mathfrak{u}}(8)_{k_U =1}$ theory
We study the non-maximal symmetry breaking patterns of ${\mathfrak{s} \mathfrak{u}}(8) \to \mathfrak{g}_{531}/\mathfrak{g}_{351}$ allowed in a supersymmetric theory with the affine Lie algebra of $\widehat {\mathfrak{s} \mathfrak{u}}(8)_{k_U=1}$, which was recently proposed to explain the three-generational standard model quark/lepton mass hierarchies as well as the Cabbibo-Kobayashi-Maskawa mixing pattern. Three gauge couplings are found to achieve the unification below the Planck scales, acco…

🇺🇦 #NowPlaying on KEXP's #MorningShow
Matt Berninger:
🎵 No Love
#MattBerninger
https://mattberninger.bandcamp.com/track/no-love
https://open.spotify.com/track/35hdttiIfLS8MkZPZgRNMx

Dominating numbers at singular cardinals
Yusuke Hayashi
https://arxiv.org/abs/2508.12018 https://arxiv.org/pdf/2508.12018

Dominating numbers at singular cardinals
We study the generalized dominating number $\mathfrak{d}_μ$ at a singular cardinal $μ$ of cofinality $κ$. We show two lower bounds: in ZFC, $\mathrm{cf}([μ]^κ,\subseteq) \leq \mathfrak{d}_μ$, and under mild cardinal-arithmetic assumptions, $2^{<μ} \leq \mathfrak{d}_μ$. We also clarify when $\mathfrak{d}_μ$ can differ from $2^μ$: assuming GCH and $κ= \mathrm{cf}(μ) > ω$, a finite-support iteration of Cohen forcing of length $μ^{++}$ yields $\mathfrak{d}_μ < 2^μ$. On the other han…

$\mathfrak A_5$-equivariant geometry of quadric threefolds
Antoine Pinardin, Zhijia Zhang
https://arxiv.org/abs/2508.11496 https://arxiv.org/pdf/2508.11496…

$\mathfrak A_5$-equivariant geometry of quadric threefolds
We classify $G$-Mori fibre spaces equivariantly birational to smooth quadric threefolds with fixed-point free actions of the alternating group $G=\mathfrak A_5$. We deduce that such quadric threefolds are $G$-solid and the $G$-actions on them are not projectively linearizable.

On the homology description of equivalent unoriented bordism groups
Bo Chen, Zhi L\"u
https://arxiv.org/abs/2508.11841 https://arxiv.org/pdf/2508.1184…

On the homology description of equivalent unoriented bordism groups
We construct a chain complex $\mathfrak{B}$ based on a double complex derived from the universal complex $X(\mathbb{Z}_2^n)$. It is shown that $\mathfrak{B}$ has a nontrivial homology only in degree $n-2$, which is isomorphic to the equivariant unoriented bordism group $\mathcal{Z}_{n+1}(\mathbb{Z}_2^n)$ of all $(n+1)$-dimensional smooth closed $\mathbb{Z}_2^n$-manifolds with isolated fixed points. By analyzing the spectral sequence of $\mathfrak{B}$, we derive a dimension formula for $\mathcal…

Trop de bruit avec Signal : les métadonnées en cause dans les messageries chiffrées
https://blogs.mediapart.fr/xcli/blog/160725/trop-de-bruit-avec-signal-les-metadonnees-en-cause-dans-les-messageries-chiffrees

Trop de bruit avec Signal : les métadonnées en cause dans les messageries chiffrées
Signal est régulièrement désigné comme LA meilleure application de messagerie sécurisée. Pour autant, cette supériorité universelle et présentée sans nuance relève d'un manque de finesse de l'analyse. Pire, elle met en danger les journalistes et leurs sources, les activistes et certaines minorités. Nous voyons pourquoi dans cet article.

For a moment last week, Donald Trump’s Justice Department appeared to throw a metaphorical life vest to Texas Gov. Greg Abbott’s public relations team.
As search and rescue operations continued, the Republican governor was under fire for suggesting that
survivors and the media were using the “word choice of losers”
when asking him who was to blame for the state’s handling of the flash flood that claimed at least 134 lives over the July 4 weekend.
Abbott also compared…

Texas Plays Cynical Racial Gerrymandering Game to Save House Majority for Trump
Trump’s Justice Department gave political cover for Gov. Greg Abbott to mingle gerrymandering with disaster relief.

Meta upgrades Horizon Worlds with Meta Horizon Studio, letting creators use AI prompts to build worlds, powered by its new "built from scratch" virtual engine (Jay Peters/The Verge)
https://www.theverge.com/news/780256/meta-horizon-worlds-engine-studio…

Meta is making the metaverse look better
At Connect 2025, Meta is sharing news about its Horizon Engine and the Horizon Studio for Horizon Worlds.

qa_user: User interactions on Q&A websites (2016)
Networks of interactions among users from four online Q&A sites: Stack Overflow, Math Overflow, Super User, and Ask Ubuntu. A directed edge (i,j) indicates a user i responded to user j's post. Edges are timestamped. For each Q&A site, four differently defined networks are provided, based on the definition of an edge: (i) a user answered a question, (ii) a user commented on a question, (iii) a user commented on an answer…

Ray-Ban Display glasses are Zuckerberg's latest bid to reframe Meta, focusing on "personal superintelligence", but they face technical and societal challenges (M.G. Siegler/Spyglass)
https://spyglass.org/meta-ray-ban-display-smart-glasses-ai/

Meta Reframes Their Reality
They're trying to back AI and Smart Glasses into the 'Metaverse'...