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We describe recent developments regarding gauged N=8 supergravity in D=4. Using the embedding tensor formulation we show how to classify all the extrema of this theory with a G2 residual gauge symmetry. Our classification contains all the…

High Energy Physics - Theory · Physics 2013-01-30 Andrea Borghese , Adolfo Guarino , Diederik Roest

We give a detailed derivation of a supersymmetric configuration of wrapped D5-branes on a two-cycle of a warped resolved conifold. Our analysis reveals that the resolved conifold should support a non-Kahler metric with an SU(3) structure.…

High Energy Physics - Theory · Physics 2011-08-25 Fang Chen , Keshav Dasgupta , Paul Franche , Sheldon Katz , Radu Tatar

In this note, we construct explicit Type IIA uplifts of $D=5$ minimal gauged supergravity, by T-dualising known Type IIB uplifts on $N_5 = S^5$, $T^{1,1}$ and $Y^{p,q}$ along their $SU(2)$ isometries. When the $D=5$ gauge field is set to…

High Energy Physics - Theory · Physics 2022-06-13 K. C. Matthew Cheung , Rahim Leung

We consider the $(p+2)$-dimensional gauged supergravities arising as a consistent truncation of type II on $S^{8-p}$, which are associated with the near-horizon limit of D$p$-branes, for $p=2,4,5,6$ (and NS5-branes for $p=5$). In a…

High Energy Physics - Theory · Physics 2025-07-10 Mathieu Boisvert , Pietro Ferrero

We consider weighted parallel spinors in Lorentzian Weyl geometry in arbitrary dimensions, choosing the weight such that the integrability condition for the existence of such a spinor, implies the geometry to be Einstein-Weyl. We then use…

General Relativity and Quantum Cosmology · Physics 2011-11-16 P. Meessen , T. Ortín , A. Palomo-Lozano

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 full integration of the stationary axisymmetric Einstein-Maxwell-dilaton-axion (EMDA) theory with and without potential using a recently proposed generalization of Carter's approach to spacetimes beyond type D, allowing the…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Dmitri Gal'tsov , Rostom Karsanov

We determine the form of all timelike supersymmetric solutions of all N greater or equal than 2, d=4 ungauged supergravities, for N less or equal than 4 coupled to vector supermultiplets, using the $Usp(n+1,n+1)-symmetric formulation of…

High Energy Physics - Theory · Physics 2011-03-17 P. Meessen , T. Ortin , S. Vaula

The general Lagrangian for maximal supergravity in five spacetime dimensions is presented with vector potentials in the \bar{27} and tensor fields in the 27 representation of E_6. This novel tensor-vector system is subject to an intricate…

High Energy Physics - Theory · Physics 2011-07-19 Bernard de Wit , Henning Samtleben , Mario Trigiante

D-dimensional maximal supergravities type I with G/H coset spaces have global G-symmetry and local H symmetry, which can be gauge-fixed in symmetric or Iwasawa-type gauges. Maximal D-dimensional supergravities type II derived from higher…

High Energy Physics - Theory · Physics 2024-10-28 Renata Kallosh

We construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) $\Sigma_2\times S^3$ and (ii) $\Sigma_3\times S^3$, where $\Sigma_2 = S^2/\Gamma$, $\mathbb{R}^2/\Gamma$, or $\mathbb{H}^2/\Gamma$, and $\Sigma_3 =…

High Energy Physics - Theory · Physics 2021-09-14 K. C. Matthew Cheung , Rahim Leung

We construct isometric and conformally isometric embeddings of some gravitational instantons in $\mathbb{R}^8$ and $\mathbb{R}^7$. In particular we show that the embedding class of the Einstein--Maxwell instanton due to Burns is equal to…

High Energy Physics - Theory · Physics 2023-01-09 Maciej Dunajski , Paul Tod

We construct a family of chiral anomaly-free supergravity theories in D=6 starting from D=7 supergravity with a gauged noncompact R-symmetry, employing a Horava-Witten bulk-plus-boundary construction. The gauged noncompact R-symmetry yields…

High Energy Physics - Theory · Physics 2011-03-02 T. G. Pugh , E. Sezgin , K. S. Stelle

In seven dimensions any spin manifold admits an SU(2) structure and therefore very general M-theory compactifications have the potential to allow for a reduction to N=4 gauged supergravity. We perform this general SU(2) reduction and give…

High Energy Physics - Theory · Physics 2015-11-05 Hagen Triendl

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying…

High Energy Physics - Theory · Physics 2015-02-23 Gerardo Aldazabal , Mariana Graña , Diego Marqués , José A. Rosabal

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

High Energy Physics - Theory · Physics 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

The group-theoretic method for constructing symmetric isometric embeddings is used to describe all possible four-dimensional surfaces in flat $(1,9)$-dimensional space, whose induced metric is static and spherically symmetric. For such…

General Relativity and Quantum Cosmology · Physics 2025-06-26 S. S. Kuptsov , S. A. Paston , A. A. Sheykin

Fluxes are widely used to stabilise extra dimensions, but if they arise within a non-abelian gauge sector they are often unstable. We seek the fate of this instability, focussing on the simplest examples: sphere-monopole compactifications…

High Energy Physics - Theory · Physics 2010-01-15 C. P. Burgess , S. L. Parameswaran , I. Zavala

We consider D7-branes probing several classes of Type IIB supergravity backgrounds, and study the classical problem of finding equilibrium configurations for the embedding functions. This is a method employed to model chiral symmetry…

High Energy Physics - Theory · Physics 2014-05-07 Anton F. Faedo , Maurizio Piai , Daniel Schofield

We give the necessary and sufficient conditions for warped AdS$_3$ (and Mink$_3$) solutions of Type II supergravities to preserve ${\cal N}=(2,0)$ supersymmetry, in terms of geometric conditions on their internal space M$_7$. Such solutions…

High Energy Physics - Theory · Physics 2024-03-19 Christopher Couzens , Niall T. Macpherson , Achilleas Passias