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…

"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.

User Association in the Presence of Jamming in Wireless Networks Using the Whittle Index
Pramod N Chine, Suven Jagtiani, Mandar R Nalavade, Gaurav S Kasbekar
https://arxiv.org/abs/2507.04968

User Association in the Presence of Jamming in Wireless Networks Using the Whittle Index
In wireless networks, algorithms for user association, i.e., the task of choosing the base station (BS) that every arriving user should join, significantly impact the network performance. A wireless network with multiple BSs, operating on non-overlapping channels, is considered. The channels of the BSs are susceptible to jamming by attackers. During every time slot, a user arrives with a certain probability. There exists a holding cost in each slot for every user associated with a BS. The goal …

Expanding Ricci solitons and Higgs bundles
Ramiro A. Lafuente, Adam Thompson
https://arxiv.org/abs/2506.11362 https://arxiv.org/pdf/2…

Expanding Ricci solitons and Higgs bundles
Motivated by the long-time behavior of Ricci flows that collapse with bounded curvature, we study expanding Ricci solitons with nilpotent symmetry on vector bundles over a closed manifold. We prove that, under mild assumptions that are satisfied by Ricci flow limits, the equations dimension-reduce to the so-called twisted harmonic-Einstein equations. When the base is a surface, we establish a correspondence between solutions of the latter and a class of G-Higgs bundles. This allows us to produc…

$F$-injectivity does not imply $F$-fullness in normal domains
Alessandro De Stefani, Thomas Polstra, Austyn Simpson
https://arxiv.org/abs/2506.00646 https:…

$F$-injectivity does not imply $F$-fullness in normal domains
We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are $F$-injective but not $F$-full. Along the way, we find examples of two-dimensional local geometrically normal domains which are $F$-injective but not $F$-anti-nilpotent. A crucial theme of our constructions is the behavior of $F$-injectivity along a purely inseparable finite base change.

Representation theory of hereditary artin algebras of finite representation type
Shiping Liu, Gordana Todorov
https://arxiv.org/abs/2506.22987 https://

Representation theory of hereditary artin algebras of finite representation type
Let $H$ be a hereditary artin algebra of finite representation type. We first determine all hammocks in the Auslander-Reiten quiver $\GaH$ of $\mmod H$, the category of finitely generated left $H$-modules. This enables us to obtain an effective method to construct $\GaH$ by simply viewing the ext-quiver of $H$. As easy applications, we compute the numbers of non-isomorphic indecomposable objects in $\mmod H$ and the associated cluster category $\mathscr{C}_H$, as well as the nilpotencies of the…