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43 papers · 1 filter
Complexity of Quadratic Quantum Chaos
Pallab Basu, Suman Das, Pratik Nandy
We investigate minimal two-body Hamiltonians with random interactions that generate spectra resembling those of Gaussian random matrices, a phenomenon we term quadratic quantum cha…
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…
Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
Hao-Lin Li, Álvaro Pastor-Gutiérrez, Shahram Vatani +1
We investigate dynamical symmetry breaking in a class of chiral gauge theories containing the Georgi-Glashow model. These theories feature a gauge sector and two fermion species th…
Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
Viktor Jahnke, Pratik Nandy, Kuntal Pal +2
Utilizing the framework of free probability, we analyze the spectral and operator statistics of the Rosenzweig-Porter random matrix ensembles, which exhibit a rich phase structure…
-theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We show that the Wilson Dirac operator in lattice gauge theory can be identified as a mathematical object in -theory and that its associated spectral flow is equal to the index.…
Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds
Dongwook Ghim, Minsung Kho, Rak-Kyeong Seong
We show that a family of birational transformations that relate toric Fano 3-folds defined by reflexive lattice polytopes can be identified with mass deformations of corresponding…