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In this work we study different aspect of self-interacting 2-form fields with special emphasis in their cosmological applications. We provide the explicit construction of how massless 2-forms are compatible with the cosmological principle…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Katsuki Aoki , Jose Beltrán Jiménez , David Figueruelo

The covariant and kappa-symmetric action for superstring in direct product of two flat D=10 N=1 superspaces is presented. It is given by the sum of supersymmetric generalization of two copies of chiral boson actions constructed with the use…

High Energy Physics - Theory · Physics 2015-11-04 Igor Bandos

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim

We consider the low-energy effective action for the Coulomb phase of an $N = 2$ supersymmetric gauge theory with a rank one gauge group. The $N = 2$ superspace formalism is naturally invariant under an $SL(2, {\bf Z})$ group of duality…

High Energy Physics - Theory · Physics 2009-10-28 M. Henningson

We derive a manifestly duality-symmetric formulation of the action principle for conformal gravity linearized around Minkowski space-time. The analysis is performed in the Hamiltonian formulation, the fourth-order character of the equations…

High Energy Physics - Theory · Physics 2021-05-26 Hapé Fuhri Snethlage , Sergio Hörtner

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

Spinons are among the generic excitations in one-dimensional spin systems, they can be massless or massive. The quantitative description of massive spinons poses a considerable challenge in spite of various variational approaches. We show…

Strongly Correlated Electrons · Physics 2017-05-30 Mohsen Hafez-Torbati , Götz S. Uhrig

We formulate a new model which describes higher-spin gauge interactions for matter fields in two dimensions. This model is a higher-spin generalization of d2 gravity and turns out to be integrable. No vanishing higher-spin current…

High Energy Physics - Theory · Physics 2009-10-28 Mikhail Vasiliev

Here we show that in arbitrary dimensions $D\ge 3$ there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero…

High Energy Physics - Theory · Physics 2015-06-22 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça

We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a $d$-dimensional torus including all higher-derivative…

High Energy Physics - Theory · Physics 2020-07-08 Camille Eloy , Olaf Hohm , Henning Samtleben

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghost-like degree of freedom, thus relating strong coupling to the sixth degree of freedom…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Cedric Deffayet , Jan-Willem Rombouts

It is well known that the Einstein-Hilbert action in two dimensions is topological and yields an identically vanishing Einstein tensor. Consequently one is faced with difficulties when formulating a non-trivial gravity model. We present a…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Christian G. Boehmer , Erik Jensko

New actions in D=2 and D=3 are proposed that are dual equivalent to known theories displaying well defined chirality and helicity, respectively, along with a new interpolating action that maps continuously through the original dualities.…

High Energy Physics - Theory · Physics 2007-12-03 E. M. C. Abreu , A. Calil , L. S. Grigorio , M. S. Guimaraes , C. Wotzasek

It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Giandomenico Palumbo

A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absence of matter we go over the the case in which matter is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pietro Menotti

We study point particles in 2+1 dimensional first order gravity using a triangulation to fix the connection and frame-field. The Hamiltonian is reduced to a boundary term which yields the total mass. The triangulation is dynamical with…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Jonathan Ziprick

We construct a novel higher-spin theory of gravity in 2+1 spacetime dimensions. The construction is based on a higher-spin super-algebra extending the Poincare group. Our algebra accommodates all integer and half-integer spins from 1 to…

High Energy Physics - Theory · Physics 2015-11-03 George Georgiou

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model,…

High Energy Physics - Theory · Physics 2009-07-10 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

In a previous work we showed that spin can be envisioned as living in a phase space that is dual to the standard phase space of position and momentum. In this work we demonstrate that the second class constraints inherent in this "Dual…

High Energy Physics - Theory · Physics 2016-12-05 Trevor Rempel , Laurent Freidel

We investigate self-dualities in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU(2N)$, $SO(7)$ and $SO(8)$ with various matter…

High Energy Physics - Theory · Physics 2019-05-01 Keita Nii