Kavli Affiliate: Masahito Yamazaki | Summary:We derive new exact formulae for elliptic genera in two spacetime dimensions with $mathcalNge 2$ supercharges, as well as their one- and zero-dimensional counterparts (for Witten indices and matrix-model partition functions). Our results are written as a discrete sum over geometric/combinatorial structures of crystals introduced previously by the authors. The […]
Kavli Affiliate: Masahito Yamazaki | Summary:Solvable time-dependent systems provide important settings for studying non-equilibrium physics, where exact results are rare. They are also useful for benchmarking quantum simulations, which can directly probe real-time dynamics beyond the reach of conventional numerical approaches. In this paper, we show that the four-dimensional Chern-Simons theory offers a natural and […]
Kavli Affiliate: Shigeki Matsumoto | Summary:We revisit the sensitivity of Single Molecule Magnet (SMM) crystals as detectors for low-mass dark matter. In previous work, we established the concept of the “magnetic bubble chamber”, where energy deposited by dark matter triggers a magnetic avalanche in a metastable crystal. The original sensitivity estimates relied on a conservative […]
Kavli Affiliate: Masahiro Kawasaki | Summary:We study primordial black hole (PBH) formation in axion $U(1)$ inflation using lattice simulations. In axion $U(1)$ inflation with a bumpy potential, the curvature perturbations can be enhanced in a narrow range of wavenumbers, potentially leading to PBH formation. After confirming that our lattice simulations reproduced the known curvature power […]
Kavli Affiliate: Masahito Yamazaki | Summary:This paper presents a curated selection of research questions at the intersection of quantum gravity and quantum information, chosen to highlight issues that we regard as particularly important for researchers in both fields. We organize the discussion into four main themes: the operational characterization of observables, the role of observers, […]
Kavli Affiliate: Masahiro Takada | Summary:We develop an analysis framework based on em light-cone galaxy mock catalogs constructed from linear theory simulations in order to accurately model the impact of primordial non-Gaussianity (PNG) on galaxy power spectrum on large scales. These linear light-cone catalogs properly incorporate a variety of observational and cosmological effects, including the […]
Kavli Affiliate: Yukinobu Toda | Summary:In this paper, we prove a Dolbeault geometric Langlands equivalence for $GL_r$ and for the Langlands dual pair $SL_r/PGL_r$ over an open locus of the Hitchin base which strictly contains the elliptic locus. This open locus contains the points corresponding to spectral curves with at worst type $A$ singularities, without […]
Kavli Affiliate: Masahito Yamazaki | Summary:We establish a direct connection between Onsager symmetry, duality defects, and quantum integrability in the XXZ spin chain at roots of unity, $Δ=(q+q^-1)/2$ with $q^N=pm1$. Using a non-Abelian algebra of transfer matrices governed by an unbalanced version of the Yang–Baxter/RLL relation, we construct an explicit lattice realization of the Onsager […]
Kavli Affiliate: Masahito Yamazaki | Summary:Given a quiver Q with gauge dimension $bf v$ and framing dimension $bf w$, one can define the extended quiver variety $widetildemathcal M(mathbf v,mathbf w)$, which is a smooth family of deformations of the Nakajima quiver variety $mathcal M(mathbf v,mathbf w)$. In this paper we discuss two vertex algebras which […]
Kavli Affiliate: David Spergel | Summary:Agentic artificial intelligence (AI) systems are beginning to assist, accelerate, and partially automate scientific discovery, performing tasks that span literature synthesis, code generation, data analysis, hypothesis proposal, and model criticism. We argue that this transition is qualitative rather than incremental, and that suitably designed multi-agent systems may evolve from passive […]