Journal ArticleDOI
Complex and quaternionic analyticity in chiral and gauge theories, I☆
Feza Gürsey,Hsiung Chia Tze +1 more
TLDR
In this article, a comparative and systematic study is made of 2-dimensional CP(n) σ-models and new 4-dimensional HP(n)-models and their respective embedded SO(m), SU(m) and Sp(m)-gauge field structures.About:
This article is published in Annals of Physics.The article was published on 1980-08-01. It has received 122 citations till now. The article focuses on the topics: Quaternionic analysis & Instanton.read more
Citations
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Geometry of Quantum States
TL;DR: In this article, the space of isospectral 0Hermitian matrices is shown to be the space in which the number 6) and 7) occur twice in the figure, and the discussion between eqs.(5.14) and (5.15) is incorrect.
Journal ArticleDOI
Matter couplings in N = 2 supergravity
Jonathan Bagger,Edward Witten +1 more
TL;DR: In this article, the general coupling of an arbitrary number of massless pin (0, 1 2 ) multiplets to N = 2 supergravity has been determined, and it is shown that the matter coupling has a natural description in the language of the supersymmetric non-linear sigma model.
Journal ArticleDOI
Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski
Journal ArticleDOI
Matter and Gauge Couplings of N=2 Supergravity in Six-Dimensions
Hitoshi Nishino,Ergin Sezgin +1 more
TL;DR: In this paper, the couplings of a Yang-Mills multiplet with the local gauge group Sp( n ) × Sp(1) to N = 2 supergravity in d = 6 were constructed.
Journal ArticleDOI
The complete N = 2, d = 6 supergravity with matter and yang-mills couplings
Hitoshi Nishino,Ergin Sezgin +1 more
TL;DR: In this paper, the quartic fermion terms in the action and all cubic fermions t in the transformation rules of the N = 2, d = 6 supergravity plus matter-coupled Yang-Mills system constructed by the authors in an earlier paper were derived.
References
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Book
Differential Geometry and Symmetric Spaces
TL;DR: In this article, the classification of symmetric spaces has been studied in the context of Lie groups and Lie algebras, and a list of notational conventions has been proposed.
Journal ArticleDOI
Pseudoparticle Solutions of the Yang-Mills Equations
TL;DR: In this article, the authors find regular solutions of the four dimensional euclidean Yang-Mills equations and show that these solutions minimize locally the action integrals, which is finite in this case.
Journal ArticleDOI
The Logic of Quantum Mechanics
TL;DR: In this article, it was shown that even a complete mathematical description of a physical system S does not in general enable one to predict with certainty the result of an experiment on S, and in particular one can never predict both the position and the momentum of S, (Heisenberg's Uncertainty Principle) and most pairs of observations are incompatible, and cannot be made on S simultaneously.
Book
The Topology of Fibre Bundles.
TL;DR: In this paper, a succint introduction to fiber bundles is provided, which includes such topics as differentiable manifolds and covering spaces, and a brief survey of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles.