Kavli Affiliate: Misao Sasaki | First 5 Authors: Shi Pi, Misao Sasaki, , , | Summary: We study the comoving curvature perturbation $mathcal{R}$ in the single-field inflation models whose potential can be approximated by a piecewise quadratic potential $V(varphi)$ by using the $delta N$ formalism. We find a general formula for $mathcal{R}(deltavarphi, deltapi)$, consisting of […]
Kavli Affiliate: Misao Sasaki | First 5 Authors: Shi Pi, Misao Sasaki, , , | Summary: We study the comoving curvature perturbation $mathcal{R}$ in the single-field inflation models whose potential can be approximated by a piecewise quadratic potential $V(varphi)$ by using the $delta N$ formalism. We find a general formula for $mathcal{R}(deltavarphi, deltapi)$, consisting of […]
Kavli Affiliate: J. Todd Hoeksema | First 5 Authors: Ruizhu Chen, Junwei Zhao, Shea Hess Webber, Yang Liu, J. Todd Hoeksema | Summary: Accurate modeling of the Sun’s coronal magnetic field and solar wind structures require inputs of the solar global magnetic field, including both the near and far sides, but the Sun’s far-side magnetic […]
Kavli Affiliate: Yukinobu Toda | First 5 Authors: Tudor Pădurariu, Yukinobu Toda, , , | Summary: We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve classes on local surfaces into products of quasi-BPS categories and Pandharipande-Thomas (PT) categories, giving a categorical analogue of the numerical DT/PT correspondence for Calabi-Yau 3-folds. The main ingredient […]
Kavli Affiliate: Yukinobu Toda | First 5 Authors: Tudor Pădurariu, Yukinobu Toda, , , | Summary: In this paper, we prove the categorical wall-crossing formula for certain quivers containing the three loop quiver, which we call DT/PT quivers. These quivers appear as Ext-quivers for the wall-crossing of DT/PT moduli spaces on Calabi-Yau 3-folds. The resulting […]
Kavli Affiliate: Alexey Bondal | First 5 Authors: Alexey Bondal, Alexei Rosly, , , | Summary: We construct a twist-closed enhancement of the category ${mathcal D}^b_{rm coh}(X)$, the bounded derived category of complexes of ${mathcal O}_X$-modules with coherent cohomology, by means of the DG-category of $barpartial$-superconnections. Then we apply the techniques of $barpartial$-superconnections to define […]
Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Raman Goyal, Suman Chakravorty, Ran Wang, | Summary: This paper considers the problem of system identification for linear time varying systems. We propose a new system realization approach that uses an "information-state" as the state vector, where the "information-state" is composed of a […]
Kavli Affiliate: E. P. S. Shellard | First 5 Authors: Amelia Drew, E. P. S. Shellard, , , | Summary: We implement adaptive mesh refinement (AMR) simulations of global topological strings using the public code, GRChombo. We perform a quantitative investigation of massive radiation from single sinusoidally displaced string configurations, studying a range of string […]
Kavli Affiliate: Clarence L. Chang | First 5 Authors: Aaron S. Chou, Marcelle Soares-Santos, Tim M. P. Tait, Rana X. Adhikari, Luis A. Anchordoqui | Summary: This report summarizes the current status of Cosmic Frontier physics and the broad and exciting future prospects identified for the Cosmic Frontier as part of the 2021 Snowmass Process. […]
Kavli Affiliate: Eric D. Miller | First 5 Authors: Ralph Kraft, Maxim Markevitch, Caroline Kilbourne, Joseph S. Adams, Hiroki Akamatsu | Summary: The Line Emission Mapper (LEM) is an X-ray Probe for the 2030s that will answer the outstanding questions of the Universe’s structure formation. It will also provide transformative new observing capabilities for every […]