A bstract We construct the non-relativistic and Carrollian versions of Jackiw-Teitelboim gravity. In second order formulation, there are no divergences in limits. Instead, first formalism, some can be avoided by starting from a relativistic BF theory with (A)dS 2 × ? gauge algebra. show how to define boundary duals gravity actions using method non-linear realisations suitable Inverse Higgs cons...

Recently Kiriushcheva and Kuzmin [1] claimed to have shown that the Einstein-Hilbert Lagrangian density cannot be written in any coordinate gauge as an exact differential in a 2-dimensional spacetime. Since this is contrary to other statements on on the subject found in the literature, as e.g., by Deser [3], Deser and Jackiw [4], Jackiw [5] and Grumiller, Kummer and Vassilevich [6] it is necess...

The “Jackiw-Nair” non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Lévy-Leblond type for the “exotic” particle, associated with the two-fold central extension of the planar Galilei group. An infinite dimensional representation of the Galilei group is found. The velocity operator is studied, and the observable coo...

String-inspired 1+1-dimensional gravity is coupled to Yang-Mills fields in the Cangemi-Jackiw gauge-theoretical formulation, based on the extended Poincaré group. A family of couplings, which involves metrics obtainable from the physical metric with a conformal rescaling, is considered, and the resulting family of models is investigated both at the classical and the quantum level. In particular...

We study ’t Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing ’t Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G1 × G2 such that gauging G1 necessarily breaks G2 and vice versa. This is analogous to the Adl...

We describe the supersymmetrization of two formulations of free noncommutative planar particles – in coordinate space with higher order Lagrangian [1] and in the framework of Faddeev and Jackiw [2,3], with first order action. In nonsupersymmetric case the first formulation after imposing subsidiary condition eliminating internal degrees of freedom provides the second formulation. In supersymmet...

We investigate the nonperturbative behaviour of the quark propagator in axial gauge using a truncation of the Dyson-Schwinger equations which respects the Ward-Takahashi identity and multiplicative renormalisability. We demonstrate that above a critical coupling αc, which depends on the form of the gluon propagator, one can obtain massive solutions for both explicit and dynamically generated qu...