Kavli Affiliate: Masahito Yamazaki | First 5 Authors: Wei Li, Masahito Yamazaki, , , | Summary: We find a new infinite class of infinite-dimensional algebras acting on BPS states for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a toric Calabi-Yau threefold, the D-branes wrapping holomorphic cycles represent the BPS states, and the […]
Kavli Affiliate: David Spergel | First 5 Authors: Miles Cranmer, Sam Greydanus, Stephan Hoyer, Peter Battaglia, David Spergel | Summary: Accurate models of the world are built upon notions of its underlying symmetries. In physics, these symmetries correspond to conservation laws, such as for energy and momentum. Yet even though neural network models see increasing […]
Kavli Affiliate: Hirosi Ooguri | First 5 Authors: Nathan Benjamin, Hirosi Ooguri, Shu-Heng Shao, Yifan Wang, | Summary: We show that every compact, unitary two-dimensional CFT with an abelian conserved current has vanishing twist gap for charged primary fields with respect to the $mathfrak{u}(1)times$Virasoro algebra. This means that either the chiral algebra is enhanced by […]
Kavli Affiliate: Yukinobu Toda | First 5 Authors: Yalong Cao, Yukinobu Toda, , , | Summary: The Gopakumar-Vafa type invariants on Calabi-Yau 4-folds (which are non-trivial only for genus zero and one) are defined by Klemm-Pandharipande from Gromov-Witten theory, and their integrality is conjectured. In a previous work of Cao-Maulik-Toda, $mathrm{DT}_4$ invariants with primary insertions […]
Kavli Affiliate: David Spergel | First 5 Authors: Neelima Sehgal, Simone Aiola, Yashar Akrami, Kaustuv moni Basu, Michael Boylan-Kolchin | Summary: CMB-HD is a proposed ultra-deep (0.5 uk-arcmin), high-resolution (15 arcseconds) millimeter-wave survey over half the sky that would answer many outstanding questions in both fundamental physics of the Universe and astrophysics. This survey would […]
Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Chang-Tse Hsieh, Yu Nakayama, Yuji Tachikawa, , | Summary: We show that there is a fermionic minimal model, i.e. a 1+1d conformal field theory which contains operators of half-integral spins in its spectrum, for each $c=1-6/m(m+1)$, $mge 3$. This generalizes the Majorana fermion for $c=1/2$, $m=3$ and […]
Kavli Affiliate: Shigeki Matsumoto | First 5 Authors: Shun-ichi Horigome, Kohei Hayashi, Masahiro Ibe, Miho N. Ishigaki, Shigeki Matsumoto | Summary: Dwarf spheroidal galaxies (dSphs) are promising targets of indirect detection experiments searching for dark matter (DM) at present universe. Toward robust prediction for the amount of signal flux originating in DM annihilation inside dSphs, […]
Kavli Affiliate: Yukinobu Toda | First 5 Authors: Yukinobu Toda, , , , | Summary: We show that the categorified cohomological Hall algebra structures on surfaces constructed by Porta-Sala descend to those on Donaldson-Thomas categories on local surfaces introduced in the author’s previous paper. A similar argument also shows that Pandharipande-Thomas categories on local surfaces […]
Kavli Affiliate: Hiraku Nakajima | First 5 Authors: Hiraku Nakajima, , , , | Summary: We prove the conjecture by Gyenge, N’emethi and SzendrH{o}i in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of points $operatorname{Hilb}^n(mathbb C^2/Gamma)$ on a simple singularity $mathbb C^2/Gamma$, where $Gamma$ is a finite […]
Kavli Affiliate: Toshiyuki Kobayashi | First 5 Authors: Fanny Kassel, Toshiyuki Kobayashi, , , | Summary: Let $X=G/H$ be a reductive homogeneous space with $H$ noncompact, endowed with a $G$-invariant pseudo-Riemannian structure. Let $L$ be a reductive subgroup of $G$ acting properly on $X$ and $Gamma$ a torsion-free discrete subgroup of $L$. Under the assumption […]