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Related papers: $\mathcal{E} \nabla^4 R^4$ type invariants and the…

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We present theories of N=2 hypermultiplets in four spacetime dimensions that are invariant under rigid or local superconformal symmetries. The target spaces of theories with rigid superconformal invariance are (4n)-dimensional {\it special}…

High Energy Physics - Theory · Physics 2008-11-26 Bernard de Wit , Bas Kleijn , Stefan Vandoren

We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a $d$-dimensional manifold $M$ with $d\leq7$. The reformation has a…

High Energy Physics - Theory · Physics 2013-12-17 André Coimbra , Charles Strickland-Constable , Daniel Waldram

We describe three analytic classes of infinitely many AdS_d supersymmetric solutions of massive IIA supergravity, for d = 7, 5, 4. The three classes are related by simple universal maps. For example, the AdS_7 x M_3 solutions (where M_3 is…

High Energy Physics - Theory · Physics 2015-12-22 Fabio Apruzzi , Marco Fazzi , Achilleas Passias , Andrea Rota , Alessandro Tomasiello

We construct analytically a new family of supersymmetric AdS$_4$ solutions of IIB supergravity, with the internal space provided by a deformed $S^5\times S^1$. The solutions preserve N=1 supersymmetry and an SO(3) subgroup of isometries of…

High Energy Physics - Theory · Physics 2022-04-13 David Berman , Thomas Fischbacher , Gianluca Inverso

We show how three-dimensional superconformal theories for any number N <= 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are…

High Energy Physics - Theory · Physics 2008-11-26 Eric A. Bergshoeff , Olaf Hohm , Diederik Roest , Henning Samtleben , Ergin Sezgin

Type II superstring theory with mixed Dirichlet and Neumann boundary conditions admit antisymmetric tensors with varying degrees in the spectrum. We show that there exists a family of dual supergravity lagrangians to the $N=2$ type IIA…

High Energy Physics - Theory · Physics 2011-04-15 A. H. Chamseddine

We consider dimensional reduction of the eleven-dimensional supergravity to less than four dimensions. The three-dimensional $E_{8(+8)}/SO(16)$ nonlinear sigma model is derived by direct dimensional reduction from eleven dimensions. In two…

High Energy Physics - Theory · Physics 2009-10-30 Shun'ya Mizoguchi

The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of $G_2$ holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , K. S. Stelle , P. K. Townsend

An action for the higher-derivative corrections to minimal gauged supergravity in four dimensions has been recently proposed. We demonstrate that the supersymmetric solutions of this model are those of the two-derivative action, and…

High Energy Physics - Theory · Physics 2021-09-15 Pietro Benetti Genolini , Paul Richmond

In this paper we study eleven-dimensional supergravity in its most general form. This is done by implementing manifest supersymmetry (and Lorentz invariance) through the use of the geometric (torsion and curvature) superspace Bianchi…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall , Ulf Gran , Bengt E. W. Nilsson , Dimitrios Tsimpis

We consider four-derivative superinvariants of five-dimensional $\mathcal N=2$ supergravity coupled to $n_v\le 2$ vector multiplets, which we obtain from both the superconformal tensor calculus approach and dimensional reduction. For the…

High Energy Physics - Theory · Physics 2026-03-20 Yide Cai , Sabarenath Jayaprakash , James T. Liu , Yi Pang , Robert J. Saskowski

We elaborate on the off-shell superspace construction of curvature-squared invariants in minimal five-dimensional supergravity. This is described by the standard Weyl multiplet of conformal supergravity coupled to two compensators being a…

High Energy Physics - Theory · Physics 2023-05-31 Gregory Gold , Jessica Hutomo , Saurish Khandelwal , Gabriele Tartaglino-Mazzucchelli

We present a family of four-dimensional Lorentzian manifolds whose invariant classification requires the seventh covariant derivative of the curvature tensor. The spacetimes in questions are null radiation, type N solutions on an anti-de…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert Milson , Nicos Pelavas

We formulate off-shell N=1 superconformal higher spin multiplets in four spacetime dimensions and briefly discuss their coupling to conformal supergravity. As an example, we explicitly work out the coupling of the superconformal gravitino…

High Energy Physics - Theory · Physics 2017-12-01 Sergei M. Kuzenko , Ruben Manvelyan , Stefan Theisen

Higher-order invariants and their role as possible counterterms for supergravity theories are reviewed. It is argued that N=8 supergravity will diverge at 5 loops. The construction of $R^4$ superinvariants in string and M-theory is…

High Energy Physics - Theory · Physics 2007-05-23 P. S. Howe

Expanding on previous papers, we continue studying Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. Using a set of differential constraints on a $SU(2)$ structure, we look for further…

High Energy Physics - Theory · Physics 2019-06-26 Carolina Matté Gregory

We consider the most general SU(3) singlet space of gauged N=8 supergravity in four-dimensions. The SU(3)-invariant six scalar fields in the theory can be viewed in terms of six real four-forms. By exponentiating these four-forms, we…

High Energy Physics - Theory · Physics 2015-05-13 Changhyun Ahn , Kyungsung Woo

Killing spinors of N=2, D=4 supergravity are examined using the spinorial geometry method, in which spinors are written as differential forms. By making use of methods developed in hep-th/0606049 to analyze preons in type IIB supergravity,…

High Energy Physics - Theory · Physics 2008-11-26 Jai Grover , Jan B. Gutowski , Wafic A. Sabra

We perform a careful investigation of which p-form fields can be introduced consistently with the supersymmetry algebra of IIA and/or IIB ten-dimensional supergravity. In particular the ten-forms, also known as "top-forms", require a…

High Energy Physics - Theory · Physics 2014-11-20 E. A. Bergshoeff , J. Hartong , P. S. Howe , T. Ortin , F. Riccioni

We construct solutions of type-II supergravity based on multiple copies and/or mixings of $\lambda$-deformed coset CFTs on $\mathrm{SO}(n+1)_k/\mathrm{SO}(n)_k$, with $n = 2, 3, 4$. The resulting ten-dimensional geometries contain…

High Energy Physics - Theory · Physics 2026-05-15 Giuseppe Casale , Georgios Itsios
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