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We find analytic solutions of type IIB supergravity on geometries that locally take the form $\text{Mink}\times M_4\times \mathbb{C}$ with $M_4$ a generalised complex manifold. The solutions involve the metric, the dilaton, NSNS and RR flux…

High Energy Physics - Theory · Physics 2015-06-23 Philip Candelas , Andrei Constantin , Cesar Damian , Magdalena Larfors , Jose Francisco Morales

We provide a consistent N=4 Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction ansatz keeps all and only the supergravity modes dual to the universal gauge sector of…

High Energy Physics - Theory · Physics 2010-12-15 Davide Cassani , Gianguido Dall'Agata , Anton F. Faedo

We construct an explicit class of solutions of type IIB supergravity that is a smooth deformation of the 3-brane class of solutions. The solution is nonsupersymmetric and involves nontrivial dilaton and axion fields as well as the standard…

High Energy Physics - Theory · Physics 2009-11-07 Leopoldo A. Pando Zayas

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

Integrable deformations of type IIB superstring theory on $\mathrm{AdS}_5\times S^5$ have played an important role over the last years. The Yang-Baxter deformation is a systematic way of generating such integrable deformations. Since its…

High Energy Physics - Theory · Physics 2020-12-02 Domenico Orlando , Susanne Reffert , Jun-ichi Sakamoto , Yuta Sekiguchi , Kentaroh Yoshida

We determine the constraints imposed on the 10d target superspace geometry by the requirement of classical kappa-symmetry of the Green-Schwarz superstring. In the type I case we find that the background must satisfy a generalization of type…

High Energy Physics - Theory · Physics 2016-07-20 A. A. Tseytlin , L. Wulff

The Benenti-Francaviglia (BF) family of metrics provides the most general form of a spacetime metric that admits two mutually commuting Killing vectors and an irreducible Killing tensor. The geodesic equations for the BF family are thus…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Masato Nozawa , Takashi Torii

We study exactly marginal deformations of 3d $\mathcal{N}=2$ CFTs dual to AdS$_4$ solutions in eleven-dimensional supergravity using generalised geometry. Focussing on Sasaki-Einstein backgrounds, we find that marginal deformations…

High Energy Physics - Theory · Physics 2018-12-26 Anthony Ashmore

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

High Energy Physics - Theory · Physics 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

We discuss a deformation of Sasakian structure in the presence of totally skew-symmetric torsion by introducing odd dimensional manifolds whose metric cones are K\"ahler with torsion. It is shown that such a geometry inherits similar…

High Energy Physics - Theory · Physics 2015-06-05 Tsuyoshi Houri , Hiroshi Takeuchi , Yukinori Yasui

We construct solutions of IIB supergravity dual to non-supersymmetric states of the D1D5 system. These solutions are constructed as perturbations carrying both left and right moving momentum around the maximally rotating D1D5 ground state…

High Energy Physics - Theory · Physics 2017-10-25 Alessandro Bombini , Stefano Giusto

We obtain necessary and sufficient conditions for a supersymmetric field configuration in the N=(1,0) U(1) or SU(2) gauged supergravities in six dimensions, and impose the field equations on this general ansatz. It is found that any…

High Energy Physics - Theory · Physics 2009-11-10 Marco Cariglia , Oisin A. P. Mac Conamhna

The vacuum and electrovacuum Einstein equations for spacetimes with two commuting Killing vectors can be solved by indirect methods of integrable systems. But if, in addition, the spacetime admits an irreducible Killing tensor and the…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Dmitri Gal'tsov , Aleksandr Kulitskii

We prove the equivalence of the deformation theory for a higher dimensional Calabi--Yau manifold and that for its dg category of perfect complexes by giving a natural isomorphism of the deformation functors. As a consequence, the dg…

Algebraic Geometry · Mathematics 2026-03-18 Hayato Morimura

We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. Using the…

High Energy Physics - Theory · Physics 2015-05-28 André Coimbra , Charles Strickland-Constable , Daniel Waldram

We discuss the four-dimensional N=1 effective approach in the study of warped type II flux compactifications with SU(3)x SU(3)-structure to AdS_4 or flat Minkowski space-time. The non-trivial warping makes it natural to use a supergravity…

High Energy Physics - Theory · Physics 2009-11-18 Paul Koerber , Luca Martucci

The $T \bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a…

High Energy Physics - Theory · Physics 2020-07-15 Andrew J. Tolley

Motivated by the two-dimensional massive gravity description of $T\overline{T}$ deformations, we propose a direct generalization in $d$ dimensions. Our methodology indicates that all terms up to order $d$ are present in the deformation. In…

High Energy Physics - Theory · Physics 2024-09-26 Evangelos Tsolakidis

We investigate all N=2 supersymmetric IIB supergravity backgrounds with non-vanishing five-form flux. The Killing spinors have stability subgroups $Spin(7)\ltimes\bR^8$, $SU(4)\ltimes\bR^8$ and $G_2$. In the $SU(4)\ltimes\bR^8$ case, two…

High Energy Physics - Theory · Physics 2008-11-26 U. Gran , J. Gutowski , G. Papadopoulos

Geometric methods for constructing exact solutions of motion equations with first order $\alpha ^{\prime}$ corrections to the heterotic supergravity action implying a non-trivial Yang-Mills sector and six dimensional, 6-d, almost-K\"ahler…

High Energy Physics - Theory · Physics 2017-01-16 Sergiu I. Vacaru , Klee Irwin