Non-Lorentzian Avatars of (1,0) Theories
Neil Lambert, Tristan Orchard
TL;DR
This paper constructs five-dimensional non-Lorentzian gauge theories with conformal symmetry and supersymmetry, which can be derived from six-dimensional superconformal theories via compactification, providing new formulations for DLCQ constructions.
Contribution
It introduces novel five-dimensional non-Lorentzian gauge theories with SU(1,3) symmetry and supersymmetry, linking them to six-dimensional (1,0) superconformal theories through compactification.
Findings
Constructed 5D non-Lorentzian gauge theories with SU(1,3) symmetry
Connected 5D theories to 6D (1,0) superconformal theories via compactification
Provided field theory formulations of DLCQ of 6D (1,0) theories
Abstract
We construct five-dimensional non-Lorentzian Lagrangian gauge field theories with an SU(1,3) conformal symmetry and 12 (conformal) supersymmetries. Such theories are interesting in their own right but can arise from six-dimensional (1,0) superconformal field theories on a conformally compactified Minkowski spacetime. In the limit that the conformal compactification is removed the Lagrangians we find give field theory formulations of DLCQ constructions of six-dimensional (1,0) conformal field theories.
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