Reductions of exceptional field theories

A bstract Double Field Theory (DFT) and Exceptional Field Theory (EFT), collectively called ExFTs, have proven to be a remarkably powerful new framework for string and M-theory. Exceptional field theories were constructed on a case by case basis as often each EFT has its own idiosyncrasies. Intuitiv...

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Published inThe journal of high energy physics Vol. 2020; no. 3; pp. 1 - 44
Main Authors Berman, David S., Otsuki, Ray
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Elementary Particles
Field theory
High energy physics
M theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Space-Time Symmetries
Spacetime
String Duality
String Theory
Symmetry
String Duality
Space-Time Symmetries
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Summary:A bstract Double Field Theory (DFT) and Exceptional Field Theory (EFT), collectively called ExFTs, have proven to be a remarkably powerful new framework for string and M-theory. Exceptional field theories were constructed on a case by case basis as often each EFT has its own idiosyncrasies. Intuitively though, an E n − 1( n − 1) EFT must be contained in an E n ( n ) ExFT. In this paper we propose a generalised Kaluza-Klein ansatz to relate different ExFTs. We then discuss in more detail the different aspects of the relationship between various ExFTs including the coordinates, section condition and (pseudo)-Lagrangian densities. For the E 8(8) EFT we describe a generalisation of the Mukhi-Papageorgakis mechanism to relate the d = 3 topological term in the E 8(8) EFT to a Yang-Mills action in the E 7(7) EFT.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2020)066