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Branes and symmetries for N = 3 S-folds (2023)
Journal Article
Etheredge, M., Etxebarria, I. G., Heidenreich, B., & Rauch, S. (2023). Branes and symmetries for N = 3 S-folds. Journal of High Energy Physics, 2023(9), Article 5. https://doi.org/10.1007/jhep09%282023%29005

We describe the higher-form and non-invertible symmetries of 4d N = 3 S-folds using the brane dynamics of their holographic duals. In cases with enhancement to N = 4 supersymmetry, our analysis reproduces the known field theory results of Aharony, Se... Read More about Branes and symmetries for N = 3 S-folds.

Near optimal spectral gaps for hyperbolic surfaces (2023)
Journal Article
Hide, W., & Magee, M. (2023). Near optimal spectral gaps for hyperbolic surfaces. Annals of Mathematics, 198(2), 791-824. https://doi.org/10.4007/annals.2023.198.2.6

We prove that if X is a finite area non-compact hyperbolic surface, then for any ϵ > 0, with probability tending to one as n → ∞, a uniformly random degree n Riemannian cover of X has no eigenvalues of the Laplacian in [0, 1 4 − ϵ) other than those o... Read More about Near optimal spectral gaps for hyperbolic surfaces.

Quantum Unique Ergodicity for Cayley graphs of quasirandom groups (2023)
Journal Article
Magee, M., Thomas, J., & Zhao, Y. (2023). Quantum Unique Ergodicity for Cayley graphs of quasirandom groups. Communications in Mathematical Physics, https://doi.org/10.1007/s00220-023-04801-x

A finite group G is called C-quasirandom (by Gowers) if all non-trivial irreducible complex representations of G have dimension at least C. For any unit ℓ2 function on a finite group we associate the quantum probability measure on the group given by... Read More about Quantum Unique Ergodicity for Cayley graphs of quasirandom groups.

Graviton trispectrum from gluons (2023)
Journal Article
Armstrong, C., Goodhew, H., Lipstein, A., & Mei, J. (2023). Graviton trispectrum from gluons. Journal of High Energy Physics, 2023(8), Article 206. https://doi.org/10.1007/jhep08%282023%29206

The tree-level wavefunction coefficient for four gravitons in de Sitter space was recently bootstrapped using the Cosmological Optical Theorem, flat space limit, and Manifestly Local Test [1]. Inspired by the double copy for scattering amplitudes, we... Read More about Graviton trispectrum from gluons.

First observation of 28O (2023)
Journal Article
Kondo, Y., Achouri, N. L., Falou, H. A., Atar, L., Aumann, T., Baba, H., …Yoshida, S. (2023). First observation of 28O. Nature, 620(7976), 965-970. https://doi.org/10.1038/s41586-023-06352-6

Subjecting a physical system to extreme conditions is one of the means often used to obtain a better understanding and deeper insight into its organization and structure. In the case of the atomic nucleus, one such approach is to investigate isotopes... Read More about First observation of 28O.

On the values taken by slice torus invariants (2023)
Journal Article
FELLER, P., LEWARK, L., & LOBB, A. (2023). On the values taken by slice torus invariants. Mathematical Proceedings of the Cambridge Philosophical Society, 176(1), 55-63. https://doi.org/10.1017/s0305004123000403

We study the space of slice torus invariants. In particular we characterise the set of values that slice torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conj... Read More about On the values taken by slice torus invariants.

Noninvertible anomalies in SU( N ) × U(1) gauge theories (2023)
Journal Article
Anber, M. M., & Poppitz, E. (2023). Noninvertible anomalies in SU( N ) × U(1) gauge theories. Journal of High Energy Physics, 2023(8), Article 149. https://doi.org/10.1007/jhep08%282023%29149

We study 4-dimensional SU(N) × U(1) gauge theories with a single massless Dirac fermion in the 2-index symmetric/antisymmetric representations and show that they are endowed with a noninvertible 0-form ℤ~2N±2χ chiral symmetry along with a 1-form ℤN1... Read More about Noninvertible anomalies in SU( N ) × U(1) gauge theories.

Bat teeth illuminate the diversification of mammalian tooth classes (2023)
Journal Article
Sadier, A., Anthwal, N., Krause, A. L., Dessalles, R., Lake, M., Bentolila, L. A., …Sears, K. E. (2023). Bat teeth illuminate the diversification of mammalian tooth classes. Nature Communications, 14(1), Article 4687. https://doi.org/10.1038/s41467-023-40158-4

Tooth classes are an innovation that has contributed to the evolutionary success of mammals. However, our understanding of the mechanisms by which tooth classes diversified remain limited. We use the evolutionary radiation of noctilionoid bats to sho... Read More about Bat teeth illuminate the diversification of mammalian tooth classes.

Tadpoles and gauge symmetries (2023)
Journal Article
Braun, A. P., Fraiman, B., Graña, M., Lüst, S., & Parra De Freitas, H. (2023). Tadpoles and gauge symmetries. Journal of High Energy Physics, 2023(8), Article 134. https://doi.org/10.1007/jhep08%282023%29134

The tadpole conjecture proposes that complex structure moduli stabilisation by fluxes that have low tadpole charge can be realised only at special points in moduli space, leading generically to (large) gauge symmetries. Here we provide an exhaustive... Read More about Tadpoles and gauge symmetries.

Tame or wild Toeplitz shifts (2023)
Journal Article
Fuhrmann, G., Kellendonk, J., & Yassawi, R. (2023). Tame or wild Toeplitz shifts. Ergodic Theory and Dynamical Systems, https://doi.org/10.1017/etds.2023.58

We investigate tameness of Toeplitz shifts. By introducing the notion of extended Bratteli–Vershik diagrams, we show that such shifts with finite Toeplitz rank are tame if and only if there are at most countably many orbits of singular fibres over th... Read More about Tame or wild Toeplitz shifts.

2-group global symmetries, hydrodynamics and holography (2023)
Journal Article
Iqbal, N., & Poovuttikul, N. (2023). 2-group global symmetries, hydrodynamics and holography. SciPost Physics, 15(2), Article 063. https://doi.org/10.21468/scipostphys.15.2.063

2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a 2-group glob... Read More about 2-group global symmetries, hydrodynamics and holography.

Skeletal filtrations of the fundamental group of a non-archimedean curve (2023)
Journal Article
Helminck, P. A. (2023). Skeletal filtrations of the fundamental group of a non-archimedean curve. Advances in Mathematics, 431, Article 109242. https://doi.org/10.1016/j.aim.2023.109242

In this paper we study skeleta of residually tame coverings of a marked curve over a non-archimedean field. We first prove a simultaneous semistable reduction theorem for residually tame coverings, which we then use to construct a tropicalization fun... Read More about Skeletal filtrations of the fundamental group of a non-archimedean curve.

On Endomorphism Algebras of Gelfand-Graev Representations II (2023)
Journal Article
Li, T., & Shotton, J. (2023). On Endomorphism Algebras of Gelfand-Graev Representations II. Bulletin of the London Mathematical Society, https://doi.org/10.1112/blms.12899

Let G be a connected reductive group defined over a finite field Fq of characteristic p, with Deligne–Lusztig dual G∗. We show that, over Z[1/pM] where M is the product of all bad primes for G, the endomorphism ring of a Gelfand–Graev representation... Read More about On Endomorphism Algebras of Gelfand-Graev Representations II.

Boundary confining dualities and Askey-Wilson type q -beta integrals (2023)
Journal Article
Okazaki, T., & Smith, D. J. (2023). Boundary confining dualities and Askey-Wilson type q -beta integrals. Journal of High Energy Physics, 2023(8), Article 048. https://doi.org/10.1007/jhep08%282023%29048

We propose confining dualities of N = (0, 2) half-BPS boundary conditions in 3d N = 2 supersymmetric SU(N), USp(2n) and SO(N) gauge theories. Some of these dualities have the novel feature that one (anti)fundamental chiral has Dirichlet boundary... Read More about Boundary confining dualities and Askey-Wilson type q -beta integrals.

Multi-dimensional BSDEs with mean reflection (2023)
Journal Article
Qu, B., & Wang, F. (2023). Multi-dimensional BSDEs with mean reflection. Electronic Journal of Probability, 28, 1-26. https://doi.org/10.1214/23-ejp991

In this paper, we consider multi-dimensional mean reflected backward stochastic differential equations (BSDEs) with possibly non-convex reflection domains along inward normal direction, which were introduced by Briand, Elie and Hu [6] in the scalar c... Read More about Multi-dimensional BSDEs with mean reflection.

The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold (2023)
Journal Article
Ducat, T. (2024). The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold. manuscripta mathematica, 174(1-2), 87-140. https://doi.org/10.1007/s00229-023-01497-0

The 2-dimensional Lyness map is a 5-periodic birational map of the plane which may famously be resolved to give an automorphism of a log Calabi–Yau surface, given by the complement of an anticanonical pentagon of (-1)-curves in a del Pezzo surface of... Read More about The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold.

Cyclic quadrilaterals and smooth Jordan curves (2023)
Journal Article
Greene, J. E., & Lobb, A. (2023). Cyclic quadrilaterals and smooth Jordan curves. Inventiones Mathematicae, https://doi.org/10.1007/s00222-023-01212-6

For every smooth Jordan curve γ and cyclic quadrilateral Q in the Euclidean plane, we show that there exists an orientation-preserving similarity taking the vertices of Q to γ. The proof relies on the theorem of Polterovich and Viterbo that an embedd... Read More about Cyclic quadrilaterals and smooth Jordan curves.