2018/05/31 by Sergio Ferrara, Dieter Lust, Dieter Lüst · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Field (mathematics) #Heterotic string theory #Massless particle #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #String (physics) #String duality #Supermultiplet #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep07(2018)114
33 pages, replaced version contains additional references
openalex created_date 2018/06/01 · arxiv created 2018/06/19 · openalex publication_date 2018/07/01 · arxiv updated 2018/08/15 · openalex updated_date 2026/08/05
A bstract In the present investigation we consider the possibility of having new massive, higher spin W-supergravity theories, which do not exist as four-dimensional perturbative models. These theories are based on a double copy construction of two supersymmetric field theories, where at least one factor is given by a N=3 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> </mml:math> field theory, which is a non-perturbative S-fold of N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> super Yang-Mills theory. In this way, we can obtain as S-folds a new N=7 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>7</mml:mn> </mml:math> (corresponding to 28 supercharges) W-supergravity and its N=7 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>7</mml:mn> </mml:math> W-superstring counterpart, which both do not exist as four-dimensional perturbative models with an (effective) Langrangian description. The resulting field resp. string theory does not contain any massless states, but instead a massive higher spin-four supermultiplet of the N=7 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>7</mml:mn> </mml:math> supersymmetry algebra. Furthermore we also construct a four-dimensional heterotic S-fold with N=3 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> </mml:math> supersymmetry. It again does not exist as perturbative heterotic string model and can be considered as the heterotic counterpart of the N=3 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> </mml:math> superconformal field theories, which were previously constructed in the context of type I orientfold models.