The notion of Poincaré gauge manifold (G), proposed in the context of an (1 + 1) gravitational theory by Cangemi and Jackiw ( D. Cangemi and R. Jackiw, Ann. Phys. (N.Y.) 225 (1993) 229), is explored from a geometrical point of view. First G is defined for arbitrary dimensions and in the sequence a symplectic structure is attached to T ∗G. Treating then the case of 5-dimensions, a (4, 1) de-Sitt...

The duality symmetries of various chiral boson actions are investigated using D = 2 and D = 6 space-time dimensions as examples. These actions involve the Siegel, FloreaniniJackiw, Srivastava and Pasti-Sorokin-Tonin formulations. We discover that the Siegel, Floreanini-Jackiw and Pasti-Sorokin-Tonin actions have self-duality with respect to a common anti-dualization of chiral boson fields in D ...

Abstract We present non- and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF theories based on the extended Newton–Hooke AdS Carroll superalgebras in two spacetime dimensions, respectively. The structure, and, particular, invariant necessary for construction of non-relativistic JT supergravity, is obtained by performing an expansion $$\mathcal {N}=2$$ <mml:math xmlns:mml="ht...

We show that in modified Faddeev-Jackiw formalism, first and second class constraints appear at each level, and the whole constraint structure is in exact correspondence with level by level method of Dirac formalism. e-mail: [email protected] e-mail:[email protected] The standard method for analysis of the constrained systems is known to be the Dirac formalism [1]. Faddeev and Jac...

In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci, and independently Witten. We will compute partition function model as well its higher order correlators to all orders in genus expansion low temperature limit for small perturbations. limit, results match with those obtained from Airy Hermitian random matrix ensemble. Usin...