An algebraic classification of exceptional EFTs
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Publication:2273433
DOI10.1007/JHEP08(2019)081zbMATH Open1421.81080arXiv1903.08222OpenAlexW2968363877MaRDI QIDQ2273433
Author name not available (Why is that?)
Publication date: 23 September 2019
Published in: (Search for Journal in Brave)
Abstract: We classify four-dimensional effective field theories (EFTs) with enhanced soft limits, which arise due to non-linearly realised symmetries on the Goldstone modes of such theories. We present an algorithm for deriving all possible algebras that can be non-linearly realised on a set of Goldstone modes with canonical propagators, linearly realised Poincar'{e} symmetries and interactions at weak coupling. We then perform a full classification of the cases with multiple scalars or multiple spin- fermions as the Goldstone modes. In each case there are only a small number of algebras consistent with field-dependent transformation rules, leading to the class of exceptional EFTs including the scalar sector of Dirac-Born-Infeld, Special Galileon and Volkov-Akulov theories. We also discuss the coupling of a gauge vector to the exceptional scalar theories, showing that there is a Special Galileon version of the full Dirac-Born-Infeld theory. This paper is part I in a series of two papers, with the second providing an algebraic classification of supersymmetric theories.
Full work available at URL: https://arxiv.org/abs/1903.08222
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