Tootfinder

Nilpotency Property, Physicality Criteria, Constraints and Standard BRST Algebra: A 4D Field-Theoretic System
R. P. Malik
https://arxiv.org/abs/2507.17590 https://

Nilpotency Property, Physicality Criteria, Constraints and Standard BRST Algebra: A 4D Field-Theoretic System
Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the off-shell nilpotent (anti-)BRST and the bosonic ghost-scale symmetries of a set of coupled (but equivalent) Lagrangian densities for the four (3 + 1)-dimensional (4D) combined field-theoretic system of the free Abelian 3-form and 1-form gauge theories. We demonstrate that the Noether (anti-)BRST charges are non-nilpotent due to the presence of a set of non-trivial Curci-Ferrari (CF) type restrictions on our theor…

"There are hells on earth and Dubai is one: an infernal creation born of the worst of human tendencies."
https://newleftreview.org/sidecar/posts/everything-else

Caitlín Doherty, Everything Else — Sidecar
In Dubai.

Local limit theorems on relatively hyperbolic groups with respect to virtually nilpotent subgroups
Matthieu Dussaule
https://arxiv.org/abs/2507.15408 https…

Local limit theorems on relatively hyperbolic groups with respect to virtually nilpotent subgroups
Given a probability measure on a finitely generated group, the local limit problem consists in finding asymptotics of $p_n(e,e)$, the probability that the random walk at time $n$ is at the origin. We give the classification of all possible local limit theorems, up to bounded error, for finitely supported, symmetric, admissible probability measures on a relatively hyperbolic group with respect to virtually nilpotent subgroups.

Show maravilhoso. Pena que é só šudio. O saxofonista é muito bom, suspeito que seja o Mšrio Seve. Bandolinista muito bom também.
Wonderful concert. I wish it had video. Great #sax player. Mšrio Seve, maybe? Great #mandolin too. And Paulinho.

Weak Fan Structures for Two-Parameter Degenerations of K3 Surfaces
Badre Mounda
https://arxiv.org/abs/2507.14954 https://arxiv.org/pd…

Weak Fan Structures for Two-Parameter Degenerations of K3 Surfaces
In this note, we provide an explicit computation of the weak fan associated with a two-parameter degeneration of K3 surfaces. This example serves as a concrete illustration of the general framework developed by Robles and Deng (2023) for the compactification of period maps via nilpotent orbits in the non-Hermitian case. We describe the associated nilpotent cones, examine their compatibility conditions, and construct the weak fan governing the degeneration behavior. This computation contributes …

#Iran:
"Their solidarity with oppositional forces has been fragmentary and opportunist, devoid of any consistent anti-imperialist strategy, except in their lonely but crucial capacity as a defender of Palestinian rights, in a region where every single Arab government has capitulated to the hegemon."
Tariq Ali, Nuclear Options — Sidecar

Tariq Ali, Nuclear Options — Sidecar
Regime change in Tehran?

On the functor relating Harish-Chandra bimodules and Soergel bimodules
Trung Vu
https://arxiv.org/abs/2507.17067 https://arxiv.org/pdf/2507.17067

On the functor relating Harish-Chandra bimodules and Soergel bimodules
In the 90's Soergel constructed a functor that relates Harish-Chandra bimodules to Soergel bimodules. We revisit this functor and relate it to the restriction functor constructed by Losev between Harish-Chandra bimodules and bimodules over $W$-algebra associated to the regular nilpotent element. We compute the images of certain Harish-Chandra bimodules under the restriction functor and provide alternative proofs for many properties of the functor constructed by Soergel. Blocks of Harish-Chandra…

"Also back in style is the tactic of using disinformation to manufacture consent for war, as with Netanyahu’s claims that Iran was right on the cusp of acquiring a nuclear weapon and intending to supply one to Yemen’s Ansarallah. We are entering territory so fantastical that the ‘dodgy dossier’ and ‘45-minute WMD’ seem almost quaint by comparison."
Eskandar Sadeghi-Boroujerdi, Culmination — Sidecar

Eskandar Sadeghi-Boroujerdi, Culmination — Sidecar
Israel attacks Iran.

Completely Syndetic Sets in Discrete Groups
Guy Salomon, Yotam Svoray, Ariel Yadin
https://arxiv.org/abs/2506.18784 https://arxiv.org…

Completely Syndetic Sets in Discrete Groups
We study completely syndetic (CS) sets in discrete groups - subsets that for every natural n admit finitely many left translates that jointly cover every n-tuple of group elements. While for finitely-generated groups, the non-virtually nilpotent ones admit a partition into two CS sets, we show that virtually abelian groups do not. We also characterize CS subsets of the group of integers Z, and as a result characterize subsets of Z whose closure in the Stone-Cech compactification contains the sm…

Zarah Sultana, on #UKLabour under #Starmer.
"Here is a party that wants to impose cuts on some of the most marginalised people in our society in order to please investors. Here is a party that, for the first time in British history, is criminalising a non-violent activist group, using the most …

Zarah Sultana, The Alternative — Sidecar
On Britain’s new left party—3.