{"title":"\\(\\Omega\\)-Spectrum in topological phases","authors":"E. A. Teplyakov","doi":"10.1134/S0040577925040026","DOIUrl":null,"url":null,"abstract":"<p> Symmetry-protected topological phases are an active field of research in condensed matter physics. The classification of symmetry-protected topological phases is an important problem in mathematics and theoretical physics. In this paper, a direct approach based on the use of methods of homotopy theory and the theory of infinite loop spaces is proposed to describe the <span>\\(\\Omega\\)</span>-spectra and the generalized cohomology theories arising in the classification of topological phases. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"223 1","pages":"548 - 555"},"PeriodicalIF":1.1000,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577925040026","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Symmetry-protected topological phases are an active field of research in condensed matter physics. The classification of symmetry-protected topological phases is an important problem in mathematics and theoretical physics. In this paper, a direct approach based on the use of methods of homotopy theory and the theory of infinite loop spaces is proposed to describe the \(\Omega\)-spectra and the generalized cohomology theories arising in the classification of topological phases.
期刊介绍：
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.
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