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We present a novel global E_7(7) symmetry in five-dimensional maximal supergravity as well as an E_8(8) symmetry in d=4. These symmetry groups which are known to be present after reduction to d=4 and d=3, respectively, appear as conformal…

High Energy Physics - Theory · Physics 2007-05-23 K. Koepsell , F. Roose

We consider the most general form for eleven dimensional supersymmetry compatible with on-shell superfields. This allows for the introduction of a conformal Spin(1,10) connection. In eleven dimensional Minkowski space this modification is…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , N. D. Lambert , P. C. West

The N-extended self-dual supergravity in the ultra-hyperbolic four-dimensional spacetime of kleinian signature (2+2) is given in the N-extended harmonic superspace. We reformulate the on-shell N-extended self-dual supergravity constraints…

High Energy Physics - Theory · Physics 2009-10-30 Sinisa Karnas , Sergei V. Ketov

We find four-dimensional de Sitter compactifications of type IIA supergravity by directly solving the ten-dimensional equations of motion. In the simplest examples, the internal space has the topology of a circle times an Einstein manifold…

High Energy Physics - Theory · Physics 2019-03-13 Clay Cordova , G. Bruno De Luca , Alessandro Tomasiello

We study the dimensional reduction of the ${\cal N}=1$, ten-dimensional Heterotic Supergravity to four dimensions, at leading order in $\alpha'$, when the internal space is a nearly-K\"{a}hler manifold. Nearly-K\"{a}hler manifolds in six…

High Energy Physics - Theory · Physics 2011-03-02 A. Chatzistavrakidis , P. Manousselis , G. Zoupanos

The superform construction of supergravity actions, christened the "ectoplasm method," is based on the use of a closed super d-form in the case of d space-time dimensions. In known examples, such superforms are obtained by iteratively…

High Energy Physics - Theory · Physics 2010-04-30 S. J. Gates , S. M. Kuzenko , G. Tartaglino-Mazzucchelli

We discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff

In the framework of the prepotential description of superspace two-dimensional $(2,2)$ supergravity, we discuss the construction of invariant integrals. In addition to the full superspace measure, we derive the measure for chiral…

High Energy Physics - Theory · Physics 2009-10-28 M. T. Grisaru , M. E. Wehlau

Understanding the consequences of the E_{7(7)} duality on the UV properties of N=8 supergravity requires unravelling when and how duality-covariant actions can be constructed so as to accommodate duality-invariant counter-terms. For…

High Energy Physics - Theory · Physics 2012-08-03 Johannes Broedel , John Joseph M. Carrasco , Sergio Ferrara , Renata Kallosh , Radu Roiban

Admissible curved space backgrounds for four-dimensional supersymmetric field theories are determined by solving Killing spinor equations of four-dimensional off-shell supergravities. These can be obtained by combining ten-dimensional type…

High Energy Physics - Theory · Physics 2018-10-17 Ruben Minasian , Daniël Prins

We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2…

High Energy Physics - Theory · Physics 2015-06-11 Anna Ceresole , Sergio Ferrara , Alessandra Gnecchi , Alessio Marrani

Group theory indicates the existence of a $SO(8) X SO(7) \subset SO(16)$ invariant self-duality equation for a 3-form in 16 dimensions. It is a signal for interesting topological field theories, especially on 8-dimensional manifolds with…

High Energy Physics - Theory · Physics 2016-09-06 L. Baulieu

We consider N=1 superpotentials corresponding to gaugings of an underlying extended supergravity for a chiral multiplet in the SU(1,1)/U(1) manifold of curvature 2/3. We analyze the resulting D=4 scalar potentials, and show that they can…

High Energy Physics - Theory · Physics 2010-12-03 Jean-Pierre Derendinger , Costas Kounnas , Fabio Zwirner

We first review standard results of the compactification of type IIA and IIB supergravities on a Calabi-Yau threefold and illustrate mirror symmetry. Then we compactify the same theories on a class of generalized Calabi-Yau manifolds called…

High Energy Physics - Theory · Physics 2007-05-23 Sebastien Gurrieri

We study dimensional reductions of M-theory/type II strings down to 6D in the presence of fluxes and spacetime filling branes and orientifold planes of different types. We classify all inequivalent orientifold projections giving rise to…

High Energy Physics - Theory · Physics 2020-05-20 Giuseppe Dibitetto , Jose J. Fernandez-Melgarejo , Masato Nozawa

We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the…

High Energy Physics - Theory · Physics 2015-09-30 Guillaume Bossard , Axel Kleinschmidt

Fetching techniques from Generalised Geometry and Exceptional Field Theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB…

High Energy Physics - Theory · Physics 2024-10-31 Adolfo Guarino , Colin Sterckx , Mario Trigiante

We compute explicit transgression forms for the Euler and Pontrjagin classes of a Riemannian manifold $M$ of dimension 4 under a conformal change of the metric, or a change to a Riemannian connection with torsion. These formulae describe…

Differential Geometry · Mathematics 2007-05-23 Isabel M. C. Salavessa , Ana Pereira do Vale

We construct higher derivative supervertices in an effective theory of maximal supergravity in various dimensions, in the super spinor helicity formalism, and derive non-renormalization conditions on up to 14-derivative order couplings from…

High Energy Physics - Theory · Physics 2015-06-01 Yifan Wang , Xi Yin

We show that non-chiral $N=2$ supergravity in ten-dimensions admits a family of dual actions where the one-form, two-form or three-form is replaced by the seven-form, six-form or five-form respectively. The dual actions and supersymmetry…

High Energy Physics - Theory · Physics 2009-10-28 A. H. Chamseddine