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A supersymmetric $D = 1, N =1$ model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also an interaction term for the coordinates entering into one…

High Energy Physics - Theory · Physics 2009-11-07 D. V. Soroka , V. A. Soroka , J. Wess

We modify the four-dimensional N=1 linearized supergravity in a way that components in each superfield are completely identified with fields in the full superconformal formulation. This identification makes it possible to use both…

High Energy Physics - Theory · Physics 2015-05-28 Yutaka Sakamura

In this paper we formulate ${\cal N}=1$ supergravity as a constrained $BF$ theory with $OSp(4|1)$ gauge superalgebra. We derive the modified supergravity Lagrangian that, apart from the standard supergravity with negative cosmological…

High Energy Physics - Theory · Physics 2014-11-20 R. Durka , J. Kowalski-Glikman , M. Szczachor

We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D=10 and a D=1 non-linear sigma-model on the Kac-Moody coset space DE(10)/K(DE(10)) if both theories are suitably truncated. To this end we make…

High Energy Physics - Theory · Physics 2008-11-26 Christian Hillmann , Axel Kleinschmidt

We discuss the formulation of cosmological topologically massive (simple) supergravity theory in three-dimensional Riemann-Cartan space-times. We use the language of exterior differential forms and the properties of Majorana spinors on…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Tekin Dereli , Cem Yetişmişoğlu

We give efficient superspace methods for deriving component actions for supergravity coupled to matter. One method uses normal coordinates to covariantly expand the superfield action, and can be applied straightforwardly to any superspace.…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Marcus T. Grisaru , Marcia E. Knutt-Wehlau , Warren Siegel

We obtain the complete set of equations of motion for the interacting system of supermembrane and dynamical D=4 N = 1 supergravity by varying its complete superfield action and writing the resulting superfield equations in the special gauge…

High Energy Physics - Theory · Physics 2015-06-05 Igor A. Bandos , Carlos Meliveo

We compute the component field 4-dimensional N=1 supergravity Lagrangian that is obtained from a superfield Lagrangian in the U(1)_K formalism with a linear dilaton multiplet. All fermionic terms are presented. In a variety of important…

High Energy Physics - Theory · Physics 2008-11-26 Joel Giedt

It is shown that the action of the bosonic sector of D=11 supergravity may be obtained by means of a suitable scaling of the originally dimensionless fields of a generalized Chern-Simons action. This follows from the eleven-form…

High Energy Physics - Theory · Physics 2018-03-14 D. Camarero , J. A. de Azcarraga , J. M. Izquierdo

Covariant Lagrangian formulation for free bosonic massless fields of arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis is based on the frame-like formulation of higher-spin field dynamics [1] with higher-spin…

High Energy Physics - Theory · Physics 2009-11-11 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev

The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads,…

High Energy Physics - Theory · Physics 2007-05-23 Mokhtar Hassaine , Ricardo Troncoso , Jorge Zanelli

Two-spinor formalism for Einstein Lagrangian is developed. The gravitational field is regarded as a composite object derived from soldering forms. Our formalism is geometrically and globally well-defined and may be used in virtually any…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marco Godina , Paolo Matteucci , Lorenzo Fatibene , Mauro Francaviglia

We present a universal democratic Lagrangian for the bosonic sector of ten-dimensional type II supergravities, treating "electric" and "magnetic" potentials of all RR fields on equal footing. For type IIB, this includes the five-form whose…

High Energy Physics - Theory · Physics 2023-05-01 Karapet Mkrtchyan , Fridrich Valach

We perform the bosonic dualisation of the matter coupled N=1, D=9 supergravity. We derive the Lie superalgebra which parameterizes the coset map whose Cartan form realizes the second-order bosonic field equations. Following the non-linear…

High Energy Physics - Theory · Physics 2009-11-11 Nejat T. Yilmaz

This note examines the BV formulation of $N=1$, $D=4$ supergravity in the first-order Palatini--Cartan framework. Challenges in achieving an off-shell formulation are addressed by introducing corrections to the rank 2 BV action, offering in…

Mathematical Physics · Physics 2025-03-12 Alberto S. Cattaneo , Filippo Fila-Robattino

D-dimensional constrained systems are studied with stochastic Lagrangian and\break Hamiltonian. It is shown that stochastic consistency conditions are second class constraints and Lagrange multiplier fields can be determined in…

High Energy Physics - Theory · Physics 2017-02-01 R. Mochizuki , K. Yoshida

We elaborate a full superfield description of the interacting system of dynamical D=4, N=1 supergravity and dynamical superstring. As far as minimal formulation of the simple supergravity is used, such a system should contain as well the…

High Energy Physics - Theory · Physics 2009-11-10 Igor A. Bandos , Jose M. Isidro

We show that (massive) D=10 type IIA supergravity possesses a hidden rigid SO(9,9) symmetry and a hidden local SO(9) x SO(9) symmetry upon dimensional reduction to one (time-like) dimension. We explicitly construct the associated locally…

High Energy Physics - Theory · Physics 2009-11-10 Axel Kleinschmidt , Hermann Nicolai

We consider the geometrical formulation in central charge superspace of the N=4 supergravity containing an antisymmetric tensor gauge field. The theory is on-shell, so clearly, the constraints used for the identification of the multiplet…

High Energy Physics - Theory · Physics 2009-11-07 Sebastien Gurrieri , Annamaria Kiss

We construct a new SO(3)$\times$SO(3) invariant non-supersymmetric solution of the bosonic field equations of $D=11$ supergravity from the corresponding stationary point of maximal gauged $N=8$ supergravity by making use of the non-linear…

High Energy Physics - Theory · Physics 2015-06-23 Hadi Godazgar , Mahdi Godazgar , Olaf Krueger , Hermann Nicolai , Krzysztof Pilch