Results 1 to 10 of about 3,782,951 (354)

On a class of selection rules without group actions in field theory and string theory [PDF]

SciPost Physics
We discuss a class of selection rules which i) do not come from group actions on fields, ii) are exact at tree level in perturbation theory, iii) are increasingly violated as the loop order is raised, and iv) eventually reduce to selection rules ...
Justin Kaidi, Yuji Tachikawa, Hao Y. Zhang
doaj   +3 more sources

Higher ideles and class field theory [PDF]

Nagoya mathematical journal, 2018
We use higher ideles and duality theorems to develop a universal approach to higher dimensional class field theory.
Moritz Kerz, Yigeng Zhao
openalex   +3 more sources

On the ramified class field theory of relative curves [PDF]

Algebra & Number Theory, 2019
We generalize Deligne's approach to tame geometric class field theory to the case of a relative curve, with arbitrary ramification.
Quentin Guignard
openalex   +3 more sources

Asymptotic symmetries and subleading soft photon theorem in effective field theories

Journal of High Energy Physics, 2018
In [1, 2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere.
Alok Laddha, Prahar Mitra
doaj   +3 more sources

Computational Class Field Theory [PDF]

, 2000
In Chapter 3 we gave the main theoretical results concerning global class field theory over number fields. We are now going to study this subject from the algorithmic point of view. In the present chapter, we give efficient algorithms for computing ray class groups of number fields and for computing the conductor and norm group of the Abelian ...
H. Cohen, P. Stevenhagen
openaire   +2 more sources

Dilaton Effective Field Theory [PDF]

Universe, 2022
We review and extend recent studies of dilaton effective field theory (dEFT) that provide a framework for the description of the Higgs boson as a composite structure.
T. Appelquist, J. Ingoldby, M. Piai
semanticscholar   +1 more source

Class fields generated by coordinates of elliptic curves

Open Mathematics, 2022
Let KK be an imaginary quadratic field different from Q(−1){\mathbb{Q}}\left(\sqrt{-1}) and Q(−3){\mathbb{Q}}\left(\sqrt{-3}). For a nontrivial integral ideal m{\mathfrak{m}} of KK, let Km{K}_{{\mathfrak{m}}} be the ray class field modulo m{\mathfrak{m}}.
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
doaj   +1 more source

Duality for relative logarithmic de Rham–Witt sheaves and wildly ramified class field theory over finite fields [PDF]

Compositio Mathematica, 2016
In order to study $p$ -adic étale cohomology of an open subvariety $U$ of a smooth proper variety $X$ over a perfect field of characteristic $p>0$ , we introduce new $p$ -primary torsion sheaves.
U. Jannsen, S. Saito, Yigeng Zhao
semanticscholar   +1 more source

Idèlic class field theory for 3-manifolds and very admissible links [PDF]

Transactions of the American Mathematical Society, 2015
We study a topological analogue of id\`elic class field theory for 3-manifolds, in the spirit of arithmetic topology. We firstly introduce the notion of a very admissible link $\mathcal{K}$ in a 3-manifold $M$, which plays a role analogous to the set of ...
Hirofumi Niibo, Jun Ueki
semanticscholar   +1 more source

On some extensions of Gauss’ work and applications

Open Mathematics, 2020
Let K be an imaginary quadratic field of discriminant dK{d}_{K} with ring of integers OK{{\mathcal{O}}}_{K}, and let τK{\tau }_{K} be an element of the complex upper half plane so that OK=[τK,1]{{\mathcal{O}}}_{K}={[}{\tau }_{K},1].
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
doaj   +1 more source