Tootfinder

From Model to Classroom: Evaluating Generated MCQs for Portuguese with Narrative and Difficulty Concerns
Bernardo Leite, Henrique Lopes Cardoso, Pedro Pinto, Abel Ferreira, Lu\'is Abreu, Isabel Rangel, Sandra Monteiro
https://arxiv.org/abs/2506.15598

From Model to Classroom: Evaluating Generated MCQs for Portuguese with Narrative and Difficulty Concerns
While MCQs are valuable for learning and evaluation, manually creating them with varying difficulty levels and targeted reading skills remains a time-consuming and costly task. Recent advances in generative AI provide an opportunity to automate MCQ generation efficiently. However, assessing the actual quality and reliability of generated MCQs has received limited attention -- particularly regarding cases where generation fails. This aspect becomes particularly important when the generated MCQs …

Point process convergence of extremes in $K$-symmetric exclusion
Michael Conroy, Adri\'an Gonz\'alez Casanova, Sunder Sethuraman
https://arxiv.org/abs/2506.12632

Point process convergence of extremes in $K$-symmetric exclusion
We consider the behavior of extremal particles in $K$-symmetric exclusion on $\mathbb{Z}$ when the process starts from certain infinite-particle step configurations where there are no particles to the right of a maximal one. In such a system, the occupancy of a site is limited to at most $K \geq 1$. Let $X^{(0)}_t\geq X^{(1)}_t\geq \cdots$ denote the order statistics of the particles in the system. We show that the point process $\sum_{m=0}^\infty δ_{v_t(X_{t/K}^{(m)})}$ converges in distribut…

Free real scalar CFT on fuzzy sphere: spectrum, algebra and wavefunction ansatz
Yin-Chen He
https://arxiv.org/abs/2506.14904 https://…

Free real scalar CFT on fuzzy sphere: spectrum, algebra and wavefunction ansatz
We introduce a simple model to realize the free real scalar CFT on the fuzzy sphere. The model is structurally similar to the original model that realizes the 3D Ising CFT on the fuzzy sphere. Owing to the shift symmetry of the free scalar, the free scalar CFT fixed point in our model can be accessed with only a single tuning parameter-the conformal coupling. We numerically demonstrate that our model correctly reproduces the operator spectrum, correlation functions, and, crucially, the harmonic…

Clarifying the relation between covariantly conserved currents and Noether's theorem
Nuno Barros e S\'a, Miguel A. S. Pinto
https://arxiv.org/abs/2506.14454

Clarifying the relation between covariantly conserved currents and Noether's theorem
On one hand, proper conservation laws, that is, the existence of local functions of the fields whose divergence vanishes on-shell, are associated with global symmetries and are a consequence of Noether's first theorem. On the other hand, covariant conservation laws, i.e., the same type of laws but featuring a covariant divergence, are associated with local symmetries and are a consequence (under certain conditions) of Noether's second theorem. In this paper, we clarify under which conditions No…

Flag-transitive point-primitive quasi-symmetric $2$-designs and exceptional groups of Lie type
Jianbing Lu
https://arxiv.org/abs/2506.10266 https://…

Flag-transitive point-primitive quasi-symmetric $2$-designs and exceptional groups of Lie type
Let $\mathcal{D}$ be a non-trivial quasi-symmetric $2$-design with two block intersection numbers $x=0$ and $2\leq y\leq10$, and suppose that $G$ is an automorphism group of $\mathcal{D}$. If $G$ is flag-transitive and point-primitive, then it is known that $G$ is either of affine type or almost simple type. In this paper, we show that the socle of $G$ cannot be a finite simple exceptional group of Lie type.

Detecting (emergent) continuous symmetry of criticality via subsystem's entanglement spectrum
Bin-Bin Mao, Zhe Wang, Bin-Bin Chen, Zheng Yan
https://arxiv.org/abs/2506.09889

Detecting (emergent) continuous symmetry of criticality via subsystem's entanglement spectrum
The (emergent) symmetry of a critical point is one of the most important information to identify the universality class and effective field theory, which is fundamental for various critical theories. However, the underlying symmetry so far can only be conjectured indirectly from the dimension of the order parameters in symmetry-breaking phases, and its correctness requires further verifications to avoid overlooking hidden order parameters, which by itself is also a difficult task. In this work,…

Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States
Ryota Yambe, Satoru Hayami
https://arxiv.org/abs/2506.10358

Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States
Multipole degrees of freedom describe the mutual interplay among the charge, spin, and orbital degrees of freedom in electrons, which provides a microscopic understanding of unconventional electronic orderings and their associated physical phenomena. We here show the symmetry rules on multipole interactions under crystallographic point groups in a systematic manner. Depending on the bond symmetries, we show the necessary symmetry conditions of the antisymmetric multipole interactions, which cor…

Surface Minkowski tensors to characterize shapes on curved surfaces
Lea Happel, Hanne Hardering, Simon Praetorius, Axel Voigt
https://arxiv.org/abs/2506.13880

Surface Minkowski tensors to characterize shapes on curved surfaces
We introduce surface Minkowski tensors to characterize rotational symmetries of shapes embedded in curved surfaces. The definition is based on a modified vector transport of the shapes boundary co-normal into a reference point which accounts for the angular defect that a classical parallel transport would introduce. This modified transport can be easily implemented for general surfaces and differently defined embedded shapes, and the associated irreducible surface Minkowski tensors give rise to…

We are now at the point where our government is literally terrorizing tens of millions of hard working Americans as a matter of strategy.
What can we do?
Call your Senators and Rep and demand they fight Trump’s insane and illegal escalation of the past few days.
Contact your local party and Dems and encourage them to hold solidarity press conferences defending the State of California
as this escalation/attack is not just on California and Los Angeles
- it is …

Generalized Modulated Symmetries in $\mathbb{Z}_2$ Topological Ordered Phases
Gustavo M. Yoshitome, Heitor Casasola, Rodrigo Corso, Pedro R. S. Gomes
https://arxiv.org/abs/2506.10819

Generalized Modulated Symmetries in $\mathbb{Z}_2$ Topological Ordered Phases
We study $\mathbb{Z}_2$ topological ordered phases in 2+1 dimensions characterized by generalized modulated symmetries. Such phases have explicit realizations in terms of fixed-point Hamiltonians involving commuting projectors with support $h=3,5,7,\ldots$ in the horizontal direction, which dictates the modulation of the generalized symmetries. These symmetries are sensitive to the lattice sizes. For certain sizes, they are spontaneously broken and the ground state is degenerated, while for the…