Results 91 to 100 of about 69,880 (174)

Arakelov's theorem for abelian varieties

open access: yesInventiones Mathematicae, 1983
Sei \(B\) eine zusammenhängende glatte vollständige algebraische Kurve über \(\mathbb C\), und \(S\) eine endliche Menge von Punkten von \(B\). \textit{S. Yu. Arakelov} [Math. USSR, Izv. 5 (1971), 1277--1302 (1972); Übersetzung von Izv. Akad. Nauk SSSR, Ser. Mat.
openaire   +2 more sources

Geometry of soft scalars at one loop

open access: yesJournal of High Energy Physics
We extend the soft theorems for scattering amplitudes of scalar effective field theories to one-loop order. Our analysis requires carefully accounting for the fact that the soft limit is not guaranteed to commute with evaluating IR-divergent loop ...
Timothy Cohen   +3 more
doaj   +1 more source

Winding topology of multifold exceptional points

open access: yesPhysical Review Research
Despite their ubiquity, a systematic classification of multifold exceptional points, n-fold spectral degeneracies (EPns), remains a significant unsolved problem.
Tsuneya Yoshida   +4 more
doaj   +1 more source

On the Eigenvalue Spectrum of Cayley Graphs: Connections to Group Structure and Expander Properties

open access: yesMathematics
Cayley graphs sit at the intersection of algebra, geometry, and theoretical computer science. Their spectra encode fine structural information about both the underlying group and the graph itself.
Mohamed A. Abd Elgawad   +4 more
doaj   +1 more source

Holography of broken U(1) symmetry

open access: yesJournal of High Energy Physics
We examine the Abelian Higgs model in (d + 1)-dimensional anti-de Sitter space with an ultraviolet brane. The gauge symmetry is broken by a bulk Higgs vacuum expectation value triggered on the brane.
Ian Chaffey   +2 more
doaj   +1 more source

SU(d)-symmetric random unitaries: quantum scrambling, error correction, and machine learning

open access: yesnpj Quantum Information
Quantum information processing in the presence of continuous symmetry is of wide importance and exhibits many novel physical and mathematical phenomena. SU(d) is a continuous symmetry group of particular interest since it represents a fundamental type of
Zimu Li   +5 more
doaj   +1 more source

Rigidity and Toledo Invariant for Spin*(8)-Higgs Bundles

open access: yesMathematics
In this paper, we study Spin*(8)-Higgs bundles over compact Riemann surfaces, extending the work of Bradlow, García-Prada, and Gothen on SO*(8). The group Spin*(8) is exceptional among classical real forms, as its complexification Spin(8,C) admits ...
Álvaro Antón-Sancho
doaj   +1 more source

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