Galilean Superconformal Symmetries

Abstract

We consider the non-relativistic c -> \infty contraction limit of the (N=2k)- extended D=4 superconformal algebra su(2,2;N), introducing in this way the non-relativistic (N=2k)-extended Galilean superconformal algebra. Such a Galilean superconformal algebra has the same number of generators as su(2,2|2k). The usp(2k) algebra describes the non-relativistic internal symmetries, and the generators from the coset u(2k)/usp(2k) become central charges after contraction.

15 pages; v3:2 reference added, misprints corrected. Version to appear in PLB

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• Galilean Conformal Mechanics from Nonlinear Realizations
• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Dynamical realization of l-conformal Galilei algebra and oscillators
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Supersymmetric Extension of Galilean Conformal Algebras
• Tensionless Superstrings: View from the Worldsheet
• Galilean Conformal Electrodynamics
• Supersymmetric Extension of GCA in 2d
• Super Galilean conformal algebra in AdS/CFT
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• N=2 superconformal Newton-Hooke algebra and many-body mechanics
• On dynamical realizations of l-conformal Galilei groups
• Spectral Flow in 3D Flat Spacetimes
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• N=2 supersymmetric extension of l-conformal Galilei algebra
• Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces
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• Chiral and Real N=2 supersymmetric l-conformal Galilei algebras
• Galilean Yang-Mills Theory
• Super-GCA from $\mathcal{N}=(2,2)$ Super-Virasoro
• Galilean Field Theories and Conformal Structure
• N = 2 Galilean superconformal algebras with central extension
• Newton-Cartan supergravity with torsion and Schrödinger supergravity
• Galilean contractions of $W$-algebras
• A Covariant Form of the Navier-Stokes Equation for the Galilean Conformal Algebra
• Nonrelativistic counterparts of twistors and the realizations of Galilean conformal algebra
• Metrics with Galilean Conformal Isometry
• $\ell$-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
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• Nonlocal dynamics and infinite non-relativistic conformal symmetries
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• Galilean Conformal and Superconformal Symmetries
• N=1,2,3 l-conformal Galilei superalgebras
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• Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces