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Introduction to group theory [PDF]

open access: yesEPJ Web of Conferences, 2012
This chapter is a concise mathematical introduction into the algebra of groups. It is build up in the way that definitions are followed by propositions and proofs. The concepts and the terminology introduced here will serve as a basis for the following chapters that deal with group theory in the stricter sense and its application to problems in physics.
Canals, Benjamin, Schober, H.
openaire   +5 more sources

Next-to-leading power resummed rapidity distributions near threshold for Drell-Yan and diphoton production

open access: yesJournal of High Energy Physics, 2023
We consider Drell-Yan production and QCD-induced diphoton production and compute their rapidity distributions up to next-to-leading power (NLP) in the threshold variable.
Robin van Bijleveld   +3 more
doaj   +1 more source

Cosmology and Fundamental Physics with the Euclid Satellite

open access: yesLiving Reviews in Relativity, 2013
Euclid is a European Space Agency medium-class mission selected for launch in 2019 within the Cosmic Vision 2015-2025 program. The main goal of Euclid is to understand the origin of the accelerated expansion of the universe.
Luca Amendola   +1 more
doaj   +1 more source

Gaudin models and multipoint cnformal blocks: general theory

open access: yesJournal of High Energy Physics, 2021
The construction of conformal blocks for the analysis of multipoint correlation functions with N > 4 local field insertions is an important open problem in higher dimensional conformal field theory.
Ilija Burić   +4 more
doaj   +1 more source

On isomorphisms to a free group and beyond [PDF]

open access: yesjournal of Groups, complexity, cryptology, Volume 16, Issue 1 (May 20, 2024) gcc:12282, 2023
The isomorphism problem for infinite finitely presented groups is probably the hardest among standard algorithmic problems in group theory. Classes of groups where it has been completely solved are nilpotent groups, hyperbolic groups, and limit groups.
arxiv   +1 more source

A Lorentzian inversion formula for defect CFT

open access: yesJournal of High Energy Physics, 2020
We present a Lorentzian inversion formula valid for any defect CFT that extracts the bulk channel CFT data as an analytic function of the spin variable.
Pedro Liendo   +2 more
doaj   +1 more source

Gaudin models and multipoint conformal blocks. Part II. Comb channel vertices in 3D and 4D

open access: yesJournal of High Energy Physics, 2021
It was recently shown that multi-point conformal blocks in higher dimensional conformal field theory can be considered as joint eigenfunctions for a system of commuting differential operators.
Ilija Burić   +4 more
doaj   +1 more source

Group Field Theories [PDF]

open access: yesProceedings of 3rd Quantum Gravity and Quantum Geometry School — PoS(QGQGS 2011), 2013
Group field theories are particular quantum field theories defined on D copies of a group which reproduce spin foam amplitudes on a space-time of dimension D. In these lecture notes, we present the general construction of group field theories, merging ideas from tensor models and loop quantum gravity. This lecture is organized as follows.
openaire   +3 more sources

4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging

open access: yesJournal of High Energy Physics, 2018
A class of 4d N = 3 $$ \mathcal{N}=3 $$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of N = 4 $$ \mathcal{N}=4 $$ Super Yang-Mills theory.
Thomas Bourton   +2 more
doaj   +1 more source

Superconformal boundaries in 4 − ϵ dimensions

open access: yesJournal of High Energy Physics, 2021
Boundaries in three-dimensional N $$ \mathcal{N} $$ = 2 superconformal theories may preserve one half of the original bulk supersymmetry. There are two possibilities which are characterized by the chirality of the leftover supercharges.
Aleix Gimenez-Grau   +2 more
doaj   +1 more source

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