Invariant Tensors in Gauge Theories

Invariant tensors play an important role in gauge theories, for example, in dualities of \(N=1\) gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often difficult to construct. We present a new approach to the co...

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Main Authors: Dillon Berger, Jessica Howard, Arvind Rajaraman
Format: Article
Language:English
Published: Andromeda Publishing and Academic Services 2018-08-01
Series:Letters in High Energy Physics
Subjects:
Online Access:http://journals.andromedapublisher.com/index.php/LHEP/article/view/83
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spelling doaj-13f6b3276ce94645ac97a839981408fd2020-11-25T03:11:15ZengAndromeda Publishing and Academic ServicesLetters in High Energy Physics2632-27142018-08-011210.31526/LHEP.2.2018.04Invariant Tensors in Gauge TheoriesDillon BergerJessica HowardArvind Rajaraman0University of California, IrvineInvariant tensors play an important role in gauge theories, for example, in dualities of \(N=1\) gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often difficult to construct. We present a new approach to the construction of these tensors, and use it to find the complete set of invariant tensors of a theory of \(SO(3)\) with fields in the symmetric tensor representation.http://journals.andromedapublisher.com/index.php/LHEP/article/view/83Gauge theoriesinvariant tensors
collection DOAJ
language English
format Article
sources DOAJ
author Dillon Berger
Jessica Howard
Arvind Rajaraman
spellingShingle Dillon Berger
Jessica Howard
Arvind Rajaraman
Invariant Tensors in Gauge Theories
Letters in High Energy Physics
Gauge theories
invariant tensors
author_facet Dillon Berger
Jessica Howard
Arvind Rajaraman
author_sort Dillon Berger
title Invariant Tensors in Gauge Theories
title_short Invariant Tensors in Gauge Theories
title_full Invariant Tensors in Gauge Theories
title_fullStr Invariant Tensors in Gauge Theories
title_full_unstemmed Invariant Tensors in Gauge Theories
title_sort invariant tensors in gauge theories
publisher Andromeda Publishing and Academic Services
series Letters in High Energy Physics
issn 2632-2714
publishDate 2018-08-01
description Invariant tensors play an important role in gauge theories, for example, in dualities of \(N=1\) gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often difficult to construct. We present a new approach to the construction of these tensors, and use it to find the complete set of invariant tensors of a theory of \(SO(3)\) with fields in the symmetric tensor representation.
topic Gauge theories
invariant tensors
url http://journals.andromedapublisher.com/index.php/LHEP/article/view/83
work_keys_str_mv AT dillonberger invarianttensorsingaugetheories
AT jessicahoward invarianttensorsingaugetheories
AT arvindrajaraman invarianttensorsingaugetheories
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