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The conformal extension of the BMS$_{3}$ algebra is constructed. Apart from an infinite number of 'superdilatations,' in order to incorporate 'superspecial conformal transformations,' the commutator of the latter with supertranslations…

High Energy Physics - Theory · Physics 2021-03-10 Oscar Fuentealba , Hernan A. Gonzalez , Alfredo Perez , David Tempo , Ricardo Troncoso

We review the basic structure of the higher spin extension of D=4, N=8 AdS supergravity. The theory is obtained by gauging the higher spin superalgebra shs^E(8|4) by a procedure pioneered by Vasiliev. The algebra shs^E(8|4) is a subalgebra…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin , P. Sundell

We provide a classification of the IIB D$p$- and NS$p$-branes in which the brane action exists due to a non-trivial class of the Chevalley-Eilenberg cohomology of free differential algebras. We then present a new geometric formulation of…

High Energy Physics - Theory · Physics 2009-10-31 Makoto Sakaguchi

We carry out a general analysis of the representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different…

High Energy Physics - Theory · Physics 2009-10-31 Sergio Ferrara , Emery Sokatchev

We perform a general analysis of representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless…

High Energy Physics - Theory · Physics 2015-06-25 Sergio Ferrara , Emery Sokatchev

We consider D-branes of open superstrings in the AdS_5 x S^5 background. The possible configurations of D-branes preserving half of supersymmetries are classified by analyzing the kappa-invariance of an open superstring in a covariant…

High Energy Physics - Theory · Physics 2010-04-05 Makoto Sakaguchi , Kentaroh Yoshida

In this paper, we present a candidate for $\mathcal{N}=(1,1)$ extended higher - spin $AdS_3$ supergravity with the most general boundary conditions discussed by Grumiller and Riegler recently. We show that the asymptotic symmetry algebra…

High Energy Physics - Theory · Physics 2020-11-24 H. T. Özer , Aytül Filiz

We carry out a general analysis of the representations of the superconformal algebras SU(2,2/N), OSp(8/4,R) and OSp(8^*/4) and give their realization in superspace. We present a construction of their UIR's by multiplication of the different…

High Energy Physics - Theory · Physics 2007-05-23 Sergio Ferrara , Emery Sokatchev

With one exception, all known non-supersymmetric AdS$_4$ and AdS$_5$ vacua of gauged maximal supergravities that descend from string and M theory have been shown to have modes with mass below the BF bound. The remaining non-supersymmetric…

High Energy Physics - Theory · Physics 2020-12-02 Iosif Bena , Krzysztof Pilch , Nicholas P. Warner

The problem of decomposition of unitary irreps of (super) tensorial (i.e. extended with tensorial charges) Poincar{\'e} algebra w.r.t. its different subalgebras is considered. This requires calculation of little groups for different…

High Energy Physics - Theory · Physics 2009-11-07 Ruben Mkrtchyan

We present here the AdS generalization of BPS preons, which were introduced as the hypothetical constituents of M-theory preserving all but one supersymmetries. Our construction, suggested by the relation of `lower dimensional preons' with…

High Energy Physics - Theory · Physics 2009-11-19 Igor A. Bandos , Jose A. de Azcarraga

We study the central extensions of the N=1 superalgebras relevant to the soliton solutions with the axial geometry - strings, wall junctions, etc. A general expression valid in any four-dimensional gauge theory is obtained. We prove that…

High Energy Physics - Theory · Physics 2009-10-31 A. Gorsky , M. Shifman

We consider superconformal field theories in three and six dimensions with eight supercharges which can be realized on the world-volume of M-theory branes sitting at orbifold singularities. We find that they should admit a N=4 and N=2…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , A. Kehagias , H. Partouche , A. Zaffaroni

In this work, we build the most general boundary conditions for $\mathcal N=\left(1,1\right)$ and $\mathcal N=\left(2,2\right)$ extended supergravity. We show that for the loosest set of boundary conditions, their asymptotic symmetry…

High Energy Physics - Theory · Physics 2019-03-06 C. E. Valcárcel

Applying an efficient pattern-based computational method of generating the so-called 'resonating' algebraic structures results in a broad class of the new Lie (super)algebras. Those structures inherit the AdS base (anti)commutation pattern…

High Energy Physics - Theory · Physics 2022-12-09 Remigiusz Durka , Krzysztof M. Graczyk

The little groups (i.e. the subgroups of Lorentz group, leaving invariant given configurations of tensorial charges) of unitary irreps of superstring/M-theory superalgebras are considered. It is noted, that in the case of $(n-1)/n$ (maximal…

High Energy Physics - Theory · Physics 2007-05-23 R. L. Mkrtchyan

A slice of AdS_5 is used to provide a 5D gravitational description of 4D strongly-coupled Seiberg dual gauge theories. An (electric) SU(N) gauge theory in the conformal window at large N is described by the 5D bulk, while its weakly coupled…

High Energy Physics - Theory · Physics 2011-01-27 Steven Abel , Tony Gherghetta

A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincar\'e algebra is presented. The $\mathcal{N}$-extended Poincar\'e supergravity is obtained by expanding the super Lorentz theory. We extend our…

High Energy Physics - Theory · Physics 2019-04-03 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez

It is shown that the supersymmetric extension of the Stelle-West formalism permits the construction of an action for $(3+1)$-dimensional N=1 supergravity with cosmological constant genuinely invariant under the $OSp(4/1).$ Since the action…

High Energy Physics - Theory · Physics 2008-11-26 P. Salgado , S. del Campo , M. Cataldo

We show that generic supersymmetric AdS_5 solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to…

High Energy Physics - Theory · Physics 2009-09-02 Maxime Gabella , Jerome P. Gauntlett , Eran Palti , James Sparks , Daniel Waldram