Kavli Affiliate: Toshiyuki Kobayashi | First 5 Authors: Toshiyuki Kobayashi, , , , | Summary: Geometric symmetry induces symmetries of function spaces, and the latter yields a clue to global analysis via representation theory. In this note we summarize recent developments on the general theory about how geometric conditions affect representation theoretic properties on function […]
Kavli Affiliate: Toshiyuki Kobayashi | First 5 Authors: Toshiyuki Kobayashi, Birgit Speh, , , | Summary: We consider branching laws for the restriction of some irreducible unitary representations $Pi$ of $G=O(p,q)$ to its subgroup $H=O(p-1,q)$. In Kobayashi (arXiv:1907.07994), the irreducible subrepresentations of $O(p-1,q)$ in the restriction of the unitary $Pi|_{O(p-1,q) }$ are determined. By considering […]
Kavli Affiliate: Yukinobu Toda | First 5 Authors: Yukinobu Toda, , , , | Summary: In this paper, we prove a window theorem for categorical Donaldson-Thomas theories on local surfaces as an analogue of window theorem for GIT quotient stacks. We give two applications of our main result. The first one is a proof of […]
Kavli Affiliate: Hirosi Ooguri | First 5 Authors: Hirosi Ooguri, Tadashi Takayanagi, , , | Summary: McNamara and Vafa conjectured that any pair of consistent quantum gravity theories can be connected by a domain wall. We test the conjecture in the context of the AdS/CFT correspondence. There are topological constraints on existence of an interface […]
Kavli Affiliate: David Spergel | First 5 Authors: Miles Cranmer, Alvaro Sanchez-Gonzalez, Peter Battaglia, Rui Xu, Kyle Cranmer | Summary: We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse […]
Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Seyed Morteza Hosseini, Kiril Hristov, Yuji Tachikawa, Alberto Zaffaroni, | Summary: We derive the general anomaly polynomial for a class of two-dimensional CFTs arising as twisted compactifications of a higher-dimensional theory on compact manifolds $mathcal{M}_d$, including the contribution of the isometries of $mathcal{M}_d$. We then use the […]
Kavli Affiliate: Tadayuki Takahashi | First 5 Authors: Kento Furukawa, Shunsaku Nagasawa, Lindsay Glesener, Miho Katsuragawa, Shin’ichiro Takeda | Summary: We have evaluated the performance of a fine pitch CdTe Double-sided Strip Detector (CdTe-DSD), which was originally developed for the focal plane detector of a hard X-ray telescope to observe the Sun. The detector has […]
Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Mikhail Kapranov, Vadim Schechtman, , , | Summary: For a complex reductive Lie group G with Lie algebra g, Cartan subalgebra h and Weyl group W, we describe the category of perverse sheaves on h/W smooth w.r.t the natural stratification. The answer is given in terms of […]
Kavli Affiliate: Yevgeny V. Stadnik | First 5 Authors: Yevgeny V. Stadnik, , , , | Summary: We point out that in models of macroscopic topological defects composed of one or more scalar fields that interact with standard-model fields via scalar-type couplings, the back-action of ambient matter on the scalar field(s) produces an environmental dependence […]
Kavli Affiliate: Hiraku Nakajima | First 5 Authors: Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei | Summary: By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several new avenues, which include a new formulation of $q$-series invariants […]