Higher Structures, Self-Dual Strings and 6d Superconformal Field Theories

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Abstract

I summarize and discuss some recent results on formulating actions of six-dimensional superconformal field theories using the language of higher gauge theory. The latter guarantees mathematical consistency of our constructions and we review crucial aspects of this framework, such as $L_\infty$-algebras and corresponding kinematical data given by higher connections. We then show that there is a mathematically consistent non-Abelian extension of the self-dual string equation which satisfies many physical expectations. Our construction favors a particular higher gauge group leading us to higher principal bundles known as string structures. Using these, we manage to formulate a six-dimensional action which shares many properties with the famous $(2,0)$-theory but also still differs from it in some key points.
Original languageEnglish
Publication statusPublished - 2018
EventLMS-EPSRC Durham Research Symposia 2018 - Durham, United Kingdom
Duration: 12 Aug 201818 Aug 2018

Conference

ConferenceLMS-EPSRC Durham Research Symposia 2018
CountryUnited Kingdom
CityDurham
Period12/08/1818/08/18

Keywords

  • hep-th

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    Saemann, C. (2018). Higher Structures, Self-Dual Strings and 6d Superconformal Field Theories. Paper presented at LMS-EPSRC Durham Research Symposia 2018, Durham, United Kingdom.