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Galilean Gauge Theories from Null Reductions

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arxiv 2201.12629 v1 pith:TFFOFASV submitted 2022-01-29 hep-th

Arjun Bagchi , Rudranil Basu , Minhajul Islam , Kedar S. Kolekar , Aditya Mehra This is my paper · ORCID
classification hep-th
keywords galileantheoriesabelianconformalgaugenon-relativisticnullsymmetries
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abstract

The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3 and 4. Different non-relativistic conformal symmetries arise in these contexts: Schr{\"o}dinger symmetry in $d=3$ and Galilean conformal symmetry in $d=4$. A canonical analysis further reveals that the symmetries enhance to their infinite dimensional versions in phase space and pick up central extensions. In addition, for the Abelian theory, we discuss non-relativistic electro-magnetic duality in $d=3$ and its difference with the $d=4$ version. We also mention some quantum aspects for both Abelian and non-Abelian theories.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisiting the Symmetries of Galilean Electrodynamics

    hep-th 2024-11 conditional novelty 6.0 of 10

    Galilean electrodynamics has infinitely many off-shell symmetries in every dimension, and in 3+1 they form the conformal Milne algebra extended by a spatial dilatation.

  2. Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory

    hep-th 2024-11 reject novelty 6.0 of 10

    An explicit conformal mapping is derived between null-reduced R times S^3 and Omega-deformed Minkowski TNC geometries, giving the state-operator generator map H0 = (R^2 H + C/R^2 - J - N)/2 in SU(1,2) non-Lorentzian CFTs.

  3. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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