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We study the eleven dimensional supergravity equations which describe a low energy approximation to string theories and are related to M-theory under the AdS/CFT correspondence. These equations take the form of a non-linear differential…

Analysis of PDEs · Mathematics 2018-06-01 Xuwen Zhu

We discuss compactifications of higher dimensional supergravities which are induced by scalars. In particular, we consider vector multiplets coupled to the supergravity multiplet in the case of D=9, 8 and D=7 minimal supergravities. These…

High Energy Physics - Theory · Physics 2009-11-11 Alex Kehagias , Constantina Mattheopoulou

We consider supergravity solutions corresponding to D7 branes wrapped on Kahler manifolds with a U(1)_R twist such that some supersymmetry is preserved. We find a class of 1/4-BPS backgrounds where a D7-brane is wrapped on a T^2 torus with…

High Energy Physics - Theory · Physics 2016-09-06 Martin Kruczenski

We compute the quasinormal frequencies corresponding to the scalar sector of gravitational perturbations in the four-dimensional AdS-Schwarzschild black hole by using the master field formalism of hep-th/0305147. We argue that the…

High Energy Physics - Theory · Physics 2010-02-03 Georgios Michalogiorgakis , Silviu S. Pufu

We discuss the dimensional reduction of five-dimensional supergravity compactified on S^1/Z_2 keeping the N=1 off-shell structure. Especially we clarify the roles of the Z_2-odd N=1 multiplets in such an off-shell dimensional reduction.…

High Energy Physics - Theory · Physics 2011-09-13 Hiroyuki Abe , Yutaka Sakamura

Motivated by the recently proposed bounds on the slow-roll parameters for scalar potentials arising from string/M-theory compactifications, a.k.a. the Refined de Sitter Swampland conjecture, we explore the sharpness of such constraints…

High Energy Physics - Theory · Physics 2018-10-29 Johan Blåbäck , Ulf Danielsson , Giuseppe Dibitetto

We investigate the ten dimensional origin of six dimensional F_4 variant supergravity with supersymmetric de Sitter background. We address first the issue of spontaneous compactification, showing that it consists of a warped…

High Energy Physics - Theory · Physics 2008-11-26 Silvia Vaula

We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of…

High Energy Physics - Theory · Physics 2014-11-21 Olaf Lechtenfeld , Christoph Nölle , Alexander D. Popov

We generate new 11-dimensional supergravity solutions from deformations based on U(1)^3 symmetries. The initial geometries are of the form AdS_4 x Y_7, where Y_7 is a 7-dimensional Sasaki-Einstein space. We consider a general family of…

High Energy Physics - Theory · Physics 2009-11-11 Changhyun Ahn , Justin F. Vazquez-Poritz

We study singular, supersymmetric domain-wall solutions supported by the massive breathing mode scalars of, for example, sphere reductions in M-theory or string theory. The space-time on one side of such a wall is asymptotic to the Cauchy…

High Energy Physics - Theory · Physics 2007-05-23 M. Cvetic , H. Lu , C. N. Pope

Consider an oriented four-dimensional Lorentzian manifold $(\widetilde{M}^{3, 1}, \widetilde{g})$ and an oriented seven-dimensional Riemannian manifold $(M^{7}, g)$. We describe a class of decomposable eleven-dimensional supergravity…

Differential Geometry · Mathematics 2019-11-25 Dmitri Alekseevsky , Ioannis Chrysikos , Arman Taghavi-Chabert

TThe problem of fermion masses hierarchy in the Standard Model is considered on a toy model of a 10-dimensional space-time with a IIA supergravity type background. Dirac equation on this background, after compactification of extra 4- and…

High Energy Physics - Theory · Physics 2023-08-21 Boris Altshuler

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying…

High Energy Physics - Theory · Physics 2016-01-28 Leopoldo A. Pando Zayas , Vincent G. J. Rodgers , Catherine A. Whiting

We construct and analyze the domain wall solution in $D=11$ supergravity connecting the $N=1$, AdS$_4\times S_{\rm squashed}^7$ vacuum to the $N=8$, AdS$_4\times S_{\rm round}^7$ vacuum. This domain wall describes the holographic…

High Energy Physics - Theory · Physics 2023-06-22 Bastien Duboeuf , Michele Galli , Emanuel Malek , Henning Samtleben

We consider the reduction of supersymmetry in N-extended four dimensional supergravity via the super Higgs mechanism in theories without cosmological constant. We provide an analysis largely based on the properties of long and short…

High Energy Physics - Theory · Physics 2015-06-26 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

We study Rarita-Schwinger fields on 6-dimensional compact strict nearly K\"{a}hler manifolds. In order to investigate them, we clarify the relationship between some differential operators for the Hermitian connection and the Levi-Civita…

Differential Geometry · Mathematics 2021-05-25 Soma Ohno , Takuma Tomihisa

We analyze the axially-symmetric scalar perturbations of 6D chiral gauged supergravity compactified on the general warped geometries in the presence of two source branes. We find all of the conical geometries are marginally stable for…

High Energy Physics - Theory · Physics 2010-10-27 C. P. Burgess , C. de Rham , D. Hoover , D. Mason , A. J. Tolley

A compactification of 11-dimensional supergravity with two (or more) walls is considered. The whole tower of massive Kaluza-Klein modes along the fifth dimension is taken into account. With the sources on the walls, an explicit composition…

High Energy Physics - Theory · Physics 2009-10-31 Krzysztof A. Meissner , Hans Peter Nilles , Marek Olechowski

Supergravity theories at D=4 allow to formulate the Swampland de Sitter conjectures in the complex field space of scalar components of chiral multiplets. We formulate the de Sitter and refined de Sitter conjecture by using the K\"ahler…

High Energy Physics - Theory · Physics 2020-03-18 Sergio Ferrara , Magnus Tournoy , Antoine Van Proeyen

Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits…

High Energy Physics - Theory · Physics 2025-10-15 Xu Guo , Yi Pang , Ergin Sezgin