Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Yuji Tachikawa, Mayuko Yamashita, , , | Summary: Inspired by consideration in heterotic string theory, we construct a morphism of spectra from $mathrm{KO}((q))/mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}} mathrm{TMF}$, which we show to be an isomorphism and to implement the Anderson self-duality of $mathrm{TMF}$. We will use this to factor […]


Continue.. Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Yuji Tachikawa, Mayuko Yamashita, , , | Summary: Inspired by consideration in heterotic string theory, we construct a morphism of spectra from $mathrm{KO}((q))/mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}} mathrm{TMF}$, which we show to be an isomorphism and to implement the Anderson self-duality of $mathrm{TMF}$. We will use this to factor […]


Continue.. Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Yuji Tachikawa, Mayuko Yamashita, , , | Summary: Inspired by consideration in heterotic string theory, we construct a morphism of spectra from $mathrm{KO}((q))/mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}} mathrm{TMF}$, which we show to be an isomorphism and to implement the Anderson self-duality of $mathrm{TMF}$. We will use this to factor […]


Continue.. Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Yuji Tachikawa, Mayuko Yamashita, , , | Summary: We construct a morphism of spectra from $mathrm{KO}((q))/mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}} mathrm{TMF}$, which we show to be an equivalence and to implement the Anderson self-duality of $mathrm{TMF}$. This morphism is then used to define another morphism from $mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}}(mathrm{MSpin}/mathrm{MString})$, […]


Continue.. Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras

Distributionally robust chance constrained Markov decision process with Kullback-Leibler divergence

Kavli Affiliate: Jia Liu | First 5 Authors: Tian Xia, Jia Liu, Abdel Lisser, , | Summary: This paper considers the distributionally robust chance constrained Markov decision process with random reward and ambiguous reward distribution. We consider individual and joint chance constraint cases with Kullback-Leibler divergence based ambiguity sets centered at elliptical distributions or elliptical […]


Continue.. Distributionally robust chance constrained Markov decision process with Kullback-Leibler divergence

The Classical Equations of Motion of Quantized Gauge Theories, Part I: General Relativity

Kavli Affiliate: Tom Melia | First 5 Authors: David E. Kaplan, Tom Melia, Surjeet Rajendran, , | Summary: In this and a companion paper, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the dynamics extracted from the path […]


Continue.. The Classical Equations of Motion of Quantized Gauge Theories, Part I: General Relativity

The origin of long soft lags and the nature of the hard-intermediate state in black hole binaries

Kavli Affiliate: Tadayuki Takahashi | First 5 Authors: Tenyo Kawamura, Chris Done, Tadayuki Takahashi, , | Summary: Fast variability of the X-ray corona in black hole binaries can produce a soft lag by reverberation, where the reprocessed thermalized disc photons lag behind the illuminating hard X-rays. This lag is small, and systematically decreases with increasing […]


Continue.. The origin of long soft lags and the nature of the hard-intermediate state in black hole binaries

The origin of long soft lags and the nature of the hard-intermediate state in black hole binaries

Kavli Affiliate: Tadayuki Takahashi | First 5 Authors: Tenyo Kawamura, Chris Done, Tadayuki Takahashi, , | Summary: Fast variability of the X-ray corona in black hole binaries can produce a soft lag by reverberation, where the reprocessed thermalized disc photons lag behind the illuminating hard X-rays. This lag is small, and systematically decreases with increasing […]


Continue.. The origin of long soft lags and the nature of the hard-intermediate state in black hole binaries

Multi-messenger signals of heavy axionlike particles in core-collapse supernovae: two-dimensional simulations

Kavli Affiliate: Shunsaku Horiuchi | First 5 Authors: Kanji Mori, Tomoya Takiwaki, Kei Kotake, Shunsaku Horiuchi, | Summary: Core-collapse supernovae are a useful laboratory to probe the nature of exotic particles. If axionlike particles (ALPs) are produced in supernovae, they can affect the transfer of energy and leave traces in observational signatures. In this work, […]


Continue.. Multi-messenger signals of heavy axionlike particles in core-collapse supernovae: two-dimensional simulations

New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure

Kavli Affiliate: Toshiya Namikawa | First 5 Authors: Toshiya Namikawa, Blake D. Sherwin, , , | Summary: We propose a new probe of inflationary gravitational waves (IGWs): the cross-correlation of the lensing of inflationary $B$-mode polarization with a large-scale structure (LSS) tracer, which can also be a cosmic microwave background (CMB) lensing map. This is […]


Continue.. New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure