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Introduction to group theory [PDF]
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.
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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
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Cosmology and Fundamental Physics with the Euclid Satellite
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
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Gaudin models and multipoint cnformal blocks: general theory
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
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On isomorphisms to a free group and beyond [PDF]
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
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
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Gaudin models and multipoint conformal blocks. Part II. Comb channel vertices in 3D and 4D
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
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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.
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4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging
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
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Superconformal boundaries in 4 − ϵ dimensions
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
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