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Physics Preprint PDF DOI

Polar Topologies in a Ferroelastic Metal Membrane

Rahil Haria, Noah Schnitzer, T. Ben Britton, Yaqi Li, Tom J. P. Irons, Sophia Linssen Pitsaros, Ella Banyas, Geri Topore, Annabel Hoyes, Mariana Palos, Sinead M. Griffin, Katherine Inzani, Michele Shelly Conroy ยท 2026

Polar metals, materials in which electric polarisation and metallicity coexist, are exceptionally rare because itinerant electrons screen long-range dipoles and favour centrosymmetric structures. Engiโ€ฆ

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Computer Science Preprint PDF DOI

Ceci n'est pas une explication: Evaluating Explanation Failures as Explainability Pitfalls in Language Learning Systems

Ben Knight, Wm. Matthew Kennedy, James Edgell ยท 2026

AI-powered language learning tools increasingly provide instant, personalised feedback to millions of learners worldwide. However, this feedback can fail in ways that are difficult for learners--and eโ€ฆ

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Physics Preprint PDF DOI

Gauging Axionic Symmetries and Dark Matter: In memory of George Lazarides

Claudio Coriano ยท 2026

These notes are written for a memorial Session dedicated to George Lazarides. They revisit a joint work on the cosmology of a gauged axion and place it in a broader line of ideas connecting anomalous โ€ฆ

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Physics Preprint PDF DOI

The EDM inverse problem: Identifying the sources of CP violation and PQ breaking with electric dipole moments

Kiwoon Choi, Sang Hui Im ยท 2026

Many extensions of the Standard Model (SM) generically introduce new sources of CP violation, which can induce observable $P$-odd and $T$-odd permanent electric dipole moments (EDMs) of nuclei, atoms,โ€ฆ

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Physics Preprint PDF DOI

Accidental Peccei-Quinn Symmetry from Chiral Gauge Symmetry and Mirror QCD

Hajime Fukuda, Keisuke Harigaya ยท 2026

We present a solution to the strong CP problem in which a simple chiral U(1) gauge symmetry gives rise to an accidental Peccei-Quinn symmetry that is both explicitly and spontaneously broken by mirrorโ€ฆ

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Physics Preprint PDF DOI

Axion Quality in Warped Extra-Dimension

Kiwoon Choi, Chang Hyeon Lee, Chang Sub Shin ยท 2026

We investigate the axion quality problem in warped extra-dimensional models in which the QCD axion arises as the Wilson-line mode of a five-dimensional $U(1)$ gauge field compactified on an $S^1/\mathโ€ฆ

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Physics Preprint PDF DOI

Natural SUSY with mixed axion/axino dark matter

Howard Baer, Vernon Barger, Kairui Zhang ยท 2026

While supersymmetric models provide a solution to the big hierarchy problem, natural SUSY is also allowed by the little hierarchy problem. In supersymmetric models which include the Peccei-Quinn (PQ) โ€ฆ

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Mathematics Preprint PDF DOI

Proof of Two Supercongruences of Guillera and Zudilin

Wei-Wei Qi ยท 2026

In $2012$, Guillera and Zudilin established the following two supercongruences involving truncated Ramanujan-type series: for any odd prime $p>2$, \begin{align*} \sum_{n=0}^{p-1}\frac{(\frac{1}{2})_n(โ€ฆ

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Physics Preprint PDF DOI

Conventional and Unitarity-Conserving Peccei-Quinn Inflation Models and ACT

J.McDonald ยท 2026

We compare conventional non-minimally coupled Peccei-Quinn (PQ) inflation with a version of the model in which unitarity conservation is imposed by additional Jordan frame interactions. Assuming instaโ€ฆ

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Physics Preprint PDF DOI

Removing the Cosmological Bound on the Axion Scale via Confinement During Inflation

Gia Dvali, Sophia Fitz, Lucy Komisel ยท 2026

We implement the scenario of early relaxation of the axion via a high scale confinement within $SU(5)$ grand unified theory and study an epoch of strong QCD in inflationary cosmology. We consider scenโ€ฆ

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Physics Preprint PDF DOI

On the predictivity of axion dark matter in the presence of Peccei-Quinn breaking

Michael Zantedeschi ยท 2026

It is shown that the post-inflationary quantum chromodynamics (QCD) axion need not be a predictive candidate for dark matter whenever small explicit Peccei-Quinn symmetry breaking becomes dynamically โ€ฆ

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Physics Preprint PDF DOI

Global Structure, Non-Invertible PQ Symmetry, and the DFSZ Domain Wall Problem

Gongjun Choi, Sungwoo Hong, Seth Koren ยท 2026

In recent years it has become increasingly clear that the previously overlooked ``global structure'' of symmetry groups can encode significant theoretical structure and, more importantly, have substanโ€ฆ

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Mathematics Preprint PDF DOI

Inverse Kazhdan--Lusztig polynomials of fan matroids

Alice L.L. Gao, Ya-Xing Li, Yun Li ยท 2026

The inverse Kazhdan--Lusztig polynomial of a matroid was introduced by Gao and Xie, and the inverse $Z$-polynomial of a matroid was introduced by Ferroni, Matherne, Stevens, and Vecchi. In this paper,โ€ฆ

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AI & Data Science Preprint PDF DOI

Generalized and Scalable Deep Gaussian Process Emulation

Deyu Ming, Daniel Williamson ยท 2026

Gaussian process (GP) emulators have become essential tools for approximating complex simulators, significantly reducing computational demands in optimization, sensitivity analysis, and model calibratโ€ฆ

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Physics Preprint PDF DOI

Basic Canonical Brackets and Nilpotency Property of Noether (anti-)BRST Charges: Non-Abeian 1-Form Gauge Theory

R. P. Malik ยท 2026

In the case of a D-dimensional non-Abelian 1-form gauge theory (without any interaction with the matter fields), we show that the application of the Noether theorem does not lead to the derivations ofโ€ฆ

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Mathematics Preprint PDF DOI

A sharp inequality between scalar curvature and the bottom spectrum on complete manifolds

Daoqiang Liu ยท 2026

In this paper, we generalize the notion of relative $\widehat{A}$-cowaist, introduced by Cecchini and Zeidler, and establish a sharp inequality linking it to scalar curvature and the bottom spectrum. โ€ฆ

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History & Literature Preprint PDF DOI

Ceci n'est pas un gluon

India Bhalla-Ladd, Eleanor March, James Owen Weatherall ยท 2026

We discuss and then resolve a tension between how physicists treat gauge bosons and the celebrated "Wu-Yang dictionary", which identifies particle physics terminology with that of principal bundles anโ€ฆ

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Mathematics Preprint PDF DOI

On free actions of discrete quantum groups

Pekka Salmi ยท 2026

R. Ellis showed in 1960 that every discrete group acts freely on its Stone-Cech compactification. We extend this result to discrete quantum groups with low duals. The method of proof is different fromโ€ฆ

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Physics Preprint PDF DOI

Fourier transform of irregular connections on $\mathbb P^1$ and classification of Argyres-Douglas theories

Jean Doucot ยท 2026

We give a mathematical interpretation of the dualities between type $A$ Argyres-Douglas theories recently obtained by Beem, Martone, Sacchi, Singh and Stedman, building on work of Xie. Using the fact โ€ฆ

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Physics Preprint PDF DOI

Gauge Symmetry Beyond Perturbation Theory: BRST and anti-BRST Structure, Background Fields, and Infrared Dynamics of Yang--Mills Theory

Daniele Binosi ยท 2026

We present a pedagogical and self contained account of the functional formulation of non-Abelian gauge theories, aimed at the construction of a process independent effective charge for Yang--Mills theโ€ฆ

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