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129 papers · 1 filter
Eigenstate Thermalization Hypothesis with projective representation
Soma Onoda, Osamu Fukushima, Ryusuke Hamazaki +1
The Eigenstate Thermalization Hypothesis (ETH) provides a sufficient condition for thermalization of isolated quantum systems. While the standard ETH is formulated in the absence o…
New Crosscap States
Wataru Harada, Justin Kaidi, Yuya Kusuki +1
We investigate crosscap states in two-dimensional rational conformal field theories (RCFTs), with an emphasis on the role of non-invertible symmetries. In particular, we argue for…
A basis of the gradient flow exact renormalization group for gauge theory
Hidenori Sonoda, Hiroshi Suzuki
The gradient flow exact renormalization group (GFERG) is a variant of the exact renormalization group (ERG) for gauge theory that is aimed at preserve gauge invariance as manifestl…
Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
Yoshiki Fukusumi, Yuma Furuta
We propose a general quantum Hamiltonian formalism of a renormalization group (RG) flow with an emphasis on generalized symmetry by interpreting the elementary relationship between…
Unified exact WKB framework for resonance -- Zel'dovich/complex-scaling regularization and rigged Hilbert space
Okuto Morikawa, Shoya Ogawa
We develop a unified framework for analyzing quantum mechanical resonances using the exact WKB method. The non-perturbative formulation based on the exact WKB method works for inco…
Coupling Selection Rules in Heterotic Calabi-Yau Compactifications
Jun Dong, Tatsuo Kobayashi, Ryusei Nishida +2
We study coupling selection rules of chiral matter fields in heterotic string theory with standard embedding. These selection rules are determined by topological properties of Cala…