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We present a uniform treatment of rigid supersymmetric field theories in a curved spacetime $\mathcal{M}$, focusing on four-dimensional theories with four supercharges. Our discussion is significantly simpler than earlier treatments,…

High Energy Physics - Theory · Physics 2021-10-11 Guido Festuccia , Nathan Seiberg

We explore the spectrum of lower-dimensional anti-de Sitter (AdS) solutions in $F(4)$ gauged supergravity in six dimensions. The ansatz employed corresponds to D4-branes partially wrapped on various supersymmetric cycles in special holonomy…

High Energy Physics - Theory · Physics 2019-12-24 Nakwoo Kim , Myungbo Shim

Given a compact Riemannian manifold $M$, we consider a warped product $\bar M = I \times_h M$ where $I$ is an open interval in $\Rr$. We suppose that the mean curvature of the fibers do not change sign. Given a positive differentiable…

Differential Geometry · Mathematics 2008-10-21 F. Andrade , J. L. Barbosa , J. H. de Lira

We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an…

High Energy Physics - Theory · Physics 2009-11-11 A. Dymarsky , S. Gubser , Z. Guralnik , J. Maldacena

We study supersymmetric AdS$_2\times Y_9$ solutions of 11d supergravity where $Y_9$ is an $S^7$ fibration over a Riemann surface equipped with a metric of non-constant curvature. We consider two classes of Riemann surface: the first is a…

High Energy Physics - Theory · Physics 2024-03-29 Christopher Couzens , Koen Stemerdink , Damian van de Heisteeg

Using the $SO ({\cal N})$ superspace formulation for $\cal N$-extended conformal supergravity in three dimensions, we derive all maximally supersymmetric backgrounds in the ${\cal N} =4$ case. The specific feature of this choice is that the…

High Energy Physics - Theory · Physics 2025-07-29 Sergei M. Kuzenko , Emmanouil S. N. Raptakis , Igor B. Samsonov , Gabriele Tartaglino-Mazzucchelli

We put forward a unimodular $N=1, d=4$ anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter…

High Energy Physics - Theory · Physics 2020-03-18 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Hamid R. Bakhtiarizadeh

We study a heterotic two-dimensional N=(0,2) gauged non-linear sigma-model whose target space is a weighted complex projective space. We consider the case with N positively and N^~=N_F - N negatively charged fields. This model is believed…

High Energy Physics - Theory · Physics 2010-12-30 Peter Koroteev , Alexander Monin , Walter Vinci

Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a…

High Energy Physics - Theory · Physics 2025-01-16 Nihat Sadik Deger , Jan Rosseel , Henning Samtleben

We construct the solution of type IIB supergravity describing the integrable lambda-deformation of the AdS_3 x S^3 supercoset. While the geometry corresponding to the deformation of the bosonic coset has been found in the past, our…

High Energy Physics - Theory · Physics 2016-08-24 Yuri Chervonyi , Oleg Lunin

We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk…

High Energy Physics - Theory · Physics 2015-10-15 M. Naghdi

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2,2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS_5 is provided. These are higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-07 M. Calixto

We find all symmetric space solutions of eleven-dimensional supergravity completing an earlier classification by Figueroa-O'Farrill. They come in two types: AdS solutions and pp-wave solutions. We analyze the supersymmetry conditions and…

High Energy Physics - Theory · Physics 2017-06-07 Linus Wulff

The seven and nine dimensional geometries associated with certain classes of supersymmetric $AdS_3$ and $AdS_2$ solutions of type IIB and D=11 supergravity, respectively, have many similarities with Sasaki-Einstein geometry. We further…

High Energy Physics - Theory · Physics 2008-11-26 Jerome P. Gauntlett , Nakwoo Kim

We use the duality between gravitational dynamics and fluids living on dynamical surfaces carrying multiple charges, known as the blackfold approach, to perturbativaly construct new asymptotically global (Anti)-de Sitter multi-spinning,…

High Energy Physics - Theory · Physics 2024-12-04 Jay Armas , Gianbattista-Piero Nicosia

We establish a bijective correspondence between the set T(n) of 3-dimensional triangulations with n tetrahedra and a certain class H(n) of relative handlebodies (i.e. handlebodies with boundary loops, as defined by Johannson) of genus n+1.…

Geometric Topology · Mathematics 2011-09-06 Francois Costantino , Roberto Frigerio , Bruno Martelli , Carlo Petronio

We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities.…

High Energy Physics - Theory · Physics 2009-11-07 E. Bergshoeff , T. de Wit , U. Gran , R. Linares , D. Roest

We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D=4 gauged supergravity…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Nakwoo Kim , Stathis Pakis , Daniel Waldram

A multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where M_i are Einstein spaces ($i \geq 1$), is studied. For $N_0 = dim M_0 > 2$ the $\sigma$ model representation is considered and it is shown…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Ivashchuk , V. N. Melnikov