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This is the written version of a talk given in Bonn on September 11th, 2001 during a workshop on "Special structures in string theory". We report on joint work in progress with George Papadopoulos aimed at classifying the maximally…

Differential Geometry · Mathematics 2007-05-23 Jose Figueroa-O'Farrill

A short introduction to N = 1 supergravity in four dimensions in the superspace approach is given emphasising on all steps to obtain the final Lagrangian. In particular starting from geometrical principles and the introduction of…

High Energy Physics - Theory · Physics 2021-04-15 Robin Ducrocq , Michel Rausch de Traubenberg , Mauricio Valenzuela

For general off-shell N=2 supergravity-matter systems in three spacetime dimensions, a formalism is developed to reduce the corresponding actions from superspace to components. The component actions are explicitly computed in the cases of…

High Energy Physics - Theory · Physics 2014-04-29 Sergei M. Kuzenko , Ulf Lindstrom , Martin Rocek , Ivo Sachs , Gabriele Tartaglino-Mazzucchelli

The theme of this thesis is the study of field theories generically without Lorentz symmetry, but possessing an inhomogeneous scaling symmetry. A number of aspects of such models are explored, including the addition of supersymmetry, and…

High Energy Physics - Theory · Physics 2021-09-10 Rishi Mouland

We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in its decomposition into the subalgebra GL(7)x SL(5) to find a seven dimensional theory. The resulting equations of motion essentially…

High Energy Physics - Theory · Physics 2019-09-25 Michaella Pettit , Peter West

We present a superspace formulation of N=1 eleven-dimensional supergravity with no manifest local Lorentz covariance, which we call teleparallel superspace. This formulation will be of great importance, when we deal with other supergravity…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Nishino , Subhash Rajpoot

We show how massive/gauged maximal supergravities in 11-n dimensions with SO(n-l,l) gauge groups (and other non-semisimple subgroups of Sl(n,R)) can be systematically obtained by dimensional reduction of ``massive 11-dimensional…

High Energy Physics - Theory · Physics 2010-04-05 Natxo Alonso-Alberca , Tomas Ortin

Models that involve extra dimensions have introduced completely new ways of looking up on old problems in theoretical physics. The aim of the present notes is to provide a brief introduction to the many uses that extra dimensions have found…

High Energy Physics - Phenomenology · Physics 2009-11-11 Abdel Pérez-Lorenzana

General Relativity resembles a very elegant crystal glass: If we touch its principles, that is, its Lagrangian, there is a risk of breaking everything. Or, if we will, it is like a short blanket: Curing some problems creates new problems.…

General Relativity and Quantum Cosmology · Physics 2021-07-22 Celia Escamilla-Rivera , Júlio C. Fabris

We present a central extension of the $(m,n)$ super-Poincar\'e algebra in two dimensions. Besides the usual Poincar\'e generators and the $(m,n)$ supersymmetry generators we have $(m,n)$ Grassmann generators, a bosonic internal symmetry…

High Energy Physics - Theory · Physics 2010-04-06 M. M. Leite , V. O. Rivelles

We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged…

High Energy Physics - Theory · Physics 2010-02-03 Carlos Nunez , I. Y. Park , Martin Schvellinger , Tuan A. Tran

We review the often forgotten fact that gravitation theories invariant under local de Sitter, anti-de Sitter or Poincare transformations can be constructed in all odd dimensions. These theories belong to the Chern-Simons family and are…

High Energy Physics - Theory · Physics 2015-06-26 Jose D. Edelstein , Jorge Zanelli

Quasi-topological terms in gravity can be viewed as those that give no contribution to the equations of motion for a special subclass of metric ans\"atze. They therefore play no r\^ole in constructing these solutions, but can affect the…

High Energy Physics - Theory · Physics 2018-04-04 Yue-Zhou Li , Hai-Shan Liu , H. Lu

We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , R. Loll

In this paper, we study a two-dimensional Lorentzian problem on the anti-de Sitter plane. Using methods of geometric control theory and differential geometry, it was possible to construct an orthonormal frame, calculate extremal…

Differential Geometry · Mathematics 2024-07-11 A. Z. Ali , Yu. L. Sachkov

A systematic study of large N expansion in supersymmetric theories are given. Supersymmetric O(N) non-linear sigma model in two and three dimensions, massless and massive supersymmetric QCD with $N_{f}<N_{c}-1$ and supergravity models are…

High Energy Physics - Phenomenology · Physics 2008-02-03 Tomohiro Matsuda

When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra "$i$"s in…

High Energy Physics - Theory · Physics 2015-05-20 Yu Nakayama

We perform a generalized dimensional reduction of six dimensional supergravity theories to five dimensions. We consider the minimal $(2,0)$ and the maximal $(4,4)$ theories. In each case the reduction allows us to obtain gauged…

High Energy Physics - Theory · Physics 2010-02-03 L. Andrianopoli , S. Ferrara , M. A. Lledo

We construct new N=6 gauged supergravities in four and five dimensions using generalized dimensional reduction. Supersymmetry is spontaneously broken to N=4,2,0 with vanishing cosmological constant. We discuss the gaugings of the broken…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Villadoro

Generalised parallelisable spaces permit to uplift many maximal gauged supergravities to ten or eleven dimensions. While some of the former are explicitly known, the literature is still lacking a systematic construction and a complete…

High Energy Physics - Theory · Physics 2024-09-23 Falk Hassler , Yuho Sakatani