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Fermionic extensions of generic 2d gravity theories obtained from the graded Poisson-Sigma model (gPSM) approach show a large degree of ambiguity. In addition, obstructions may reduce the allowed range of fields as given by the bosonic…

High Energy Physics - Theory · Physics 2009-11-07 L. Bergamin , W. Kummer

Recently an alternative description of 2d supergravities in terms of graded Poisson-Sigma models (gPSM) has been given. As pointed out previously by the present authors a certain subset of gPSMs can be interpreted as "genuine" supergravity,…

High Energy Physics - Theory · Physics 2009-11-10 L. Bergamin , W. Kummer

We provide the geometric actions for most general N=1 supergravity in two spacetime dimensions. Our construction implies an extension to arbitrary N. This provides a supersymmetrization of any generalized dilaton gravity theory or of any…

High Energy Physics - Theory · Physics 2010-02-03 M. Ertl , W. Kummer , T. Strobl

Among the usual constraints of (1,1) supergravity in d=2 the condition of vanishing bosonic torsion is dropped. Using the inverse supervierbein and the superconnection considerably simplifies the formidable computational problems. It allows…

High Energy Physics - Theory · Physics 2009-10-30 M. F. Ertl , M. O. Katanaev , W. Kummer

The formulation of 2d-dilaton theories, like spherically reduced Einstein gravity, is greatly facilitated in a formulation as a first order theory with nonvanishing bosonic torsion. This is especially also true at the quantum level. The…

High Energy Physics - Theory · Physics 2007-05-23 W. Kummer , M. Ertl , T. Strobl

The integrability of N=(2,2) dilaton supergravity in two dimensions is studied by the use of the graded Poisson Sigma model approach. Though important differences compared to the purely bosonic models are found, the general analytic…

High Energy Physics - Theory · Physics 2011-09-13 L. Bergamin , W. Kummer

Supersymmetric bosonic backgrounds governed by first-order BPS equations, can be realised in a much broader setting by relaxing the requirement of closure of the superalgebra beyond the level of quadratic fermion terms. The resulting…

High Energy Physics - Theory · Physics 2021-07-21 Falk Hassler , C. N. Pope , Hao-Yu Zhang

Linearized supergravity in arbitrary dimension is reformulated into a first order formalism which treats the graviton and its dual on the same footing at the level of the action. This generalizes previous work by other authors in two…

High Energy Physics - Theory · Physics 2019-08-14 Victor Lekeu , Amaury Leonard

In this review articel we study the gaugings of extended supergravity theories in various space-time dimensions. These theories describe the low-energy limit of non-trivial string compactifications. For each theory under consideration we…

High Energy Physics - Theory · Physics 2008-11-26 Martin Weidner

We construct a ``pseudo-supersymmetric" fermionic extension of the effective action of the bosonic string in arbitrary spacetime dimension D. The theory is invariant under pseudo-supersymmetry transformations up to the quadratic fermion…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential…

High Energy Physics - Theory · Physics 2015-09-30 Roberto Bonezzi , Per Sundell , Alexander Torres-Gomez

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

The geometry of N=1 supersymmetric double field theory is revisited in superspace. In order to maintain the constraints on the torsion tensor, the local tangent space group of O(D) x O(D) must be expanded to include a tower of higher…

High Energy Physics - Theory · Physics 2022-09-16 Daniel Butter

We present a topological version of two dimensional dilaton supergravity. It is obtained by gauging an extension of the super-Poincar\'e algebra in two space-time dimensions. This algebra is obtained by an unconventional contraction of the…

High Energy Physics - Theory · Physics 2009-10-22 V. O. Rivelles

We consider compactifications induced by the gravitino field of eleven dimensional supergravity. Such compactifications are not trivial in the sense that the gravitino profiles are not related to pure bosonic ones by means of a…

High Energy Physics - Theory · Physics 2015-06-03 Fotis Farakos , Alex Kehagias , Emmanuel N. Saridakis

A generalization of the embedding approach for d-dimensional gravity based upon p-brane theories is considered. We show that the D-dimensional p-brane coupled to an antisymmetric tensor field of rank (p+1) provides the dynamical basis for…

High Energy Physics - Theory · Physics 2014-11-18 Igor Bandos , Wolfgang Kummer

A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Hatice Özer , Ahmet Baykal , Özgür Delice

The N=1 supersymmetric version of generalized 2d dilaton gravity can be cast into the form of a Poisson Sigma Model, where the target space and its Poisson bracket are graded. The target space consists of a 1+1 superspace and the dilaton,…

High Energy Physics - Theory · Physics 2009-10-31 Thomas Strobl

Symmetric Space Sine-Gordon theories are two-dimensional massive integrable field theories, generalising the Sine-Gordon and Complex Sine-Gordon theories. To study their integrability properties on the real line, it is necessary to…

High Energy Physics - Theory · Physics 2024-01-30 Francois Delduc , Ben Hoare , Marc Magro

The objective of this paper is to formulate two distinct supersymmetric (SUSY) extensions of the Gauss-Weingarten and Gauss-Codazzi (GC) equations for conformally parametrized surfaces immersed in a Grassmann superspace, one in terms of a…

Mathematical Physics · Physics 2015-05-01 Sébastien Bertrand , Alfred Michel Grundland , Alexander Hariton
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