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We solve the Killing spinor equations of ${\cal N}=1$ supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N=1 supersymmetry admit a null, integrable,…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , J. Gutowski , G. Papadopoulos

We solve for the effective actions on the Coulomb branches of a class of N=2 supersymmetric theories by finding the complex structure of an M5 brane in an appropriate background hyperkahler geometry corresponding to the lift of two O6^-…

High Energy Physics - Theory · Physics 2009-11-07 Philip C. Argyres , R. Maimon , Sophie Pelland

We report on a classification of supersymmetric solutions to 11D supergravity with $SO(2,2) \times SO(3)$ isometry, which are AdS/CFT dual to 2D CFTs with $\mathcal{N} = (0,4)$ supersymmetry. We recover the Maldacena, Strominger, Witten…

High Energy Physics - Theory · Physics 2016-05-04 Ozgur Kelekci , Yolanda Lozano , Jesus Montero , Eoin Ó Colgáin , Miok Park

We find the gravity duals to an infinite series of N=3 Chern-Simons quiver theories. They are AdS_4 x M_7 vacua of M-theory, with M_7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction. The field theories…

High Energy Physics - Theory · Physics 2009-12-04 Daniel Louis Jafferis , Alessandro Tomasiello

This paper is a contribution to the supersymmetry gap problem for supergravity backgrounds $(M,g,F)$ in $11$ dimensions. We study restrictions on the curvature of $(M,g,F)$ and, using the bijective correspondence between the space of…

High Energy Physics - Theory · Physics 2026-03-23 Emanuele Di Bella , Willem A. de Graaf , Andrea Santi

The $\Omega$-background is defined for supergravity, and a very general class of such backgrounds is constructed for 11-dimensional supergravity. 11-dimensional supergravity in a certain $\Omega$-background is shown to be equivalent to a…

High Energy Physics - Theory · Physics 2016-10-14 Kevin Costello

We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M,g,F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form,…

High Energy Physics - Theory · Physics 2015-06-03 José Figueroa-O'Farrill

We study curved-space rigid supersymmetry for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric fields theories with a vector-like $R$-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be…

High Energy Physics - Theory · Physics 2015-06-19 Cyril Closset , Stefano Cremonesi

We find the warped AdS_4 x K type-IIB supergravity solutions holographically dual to a large family of three dimensional \cN=4 superconformal field theories labeled by a pair (\rho,\hat\rho) of partitions of N. These superconformal theories…

High Energy Physics - Theory · Physics 2015-05-28 Benjamin Assel , Costas Bachas , John Estes , Jaume Gomis

We obtain a new gauged D=6, N=(1,1) pure supergravity by a generalised consistent Kaluza-Klein reduction of M-theory on K3 \times R. The reduction requires a conspiratory gauging of both the Cremmer-Julia type global (rigid) symmetry and…

High Energy Physics - Theory · Physics 2010-04-05 J. Kerimo , H. Lu

We give a systematic description of all warped $AdS_n$ and ${\mathbb{R}}^{n-1,1}$ backgrounds of M-theory and identify the a priori number of supersymmetries that these backgrounds preserve. In particular, we show that $AdS_n$ backgrounds…

High Energy Physics - Theory · Physics 2015-06-22 J. B. Gutowski , G. Papadopoulos

We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Pietro Benetti Genolini , Martin Fluder , Paul Richmond , James Sparks

We study supersymmetric $AdS_6$ black holes from matter-coupled $N=(1,1)$ gauged supergravity coupled to three vector multiplets and $SO(3)\times SO(3)$ gauge group. This gauged supergravity admits two supersymmetric $AdS_6$ vacua…

High Energy Physics - Theory · Physics 2024-10-16 Parinya Karndumri

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us (D.G.). These field theories can also be…

High Energy Physics - Theory · Physics 2009-11-10 Davide Gaiotto , Juan Maldacena

We use the techniques of "algebraic Killing spinors" to obtain a family of holographic flow solutions with four supersymmetries in M-theory. The family of supersymmetric backgrounds constructed here includes the non-trivial flow to the…

High Energy Physics - Theory · Physics 2007-05-23 Dennis Nemeschansky , Nicholas P. Warner

Multi-parametric families of AdS$_{4}$ vacua with various amounts of supersymmetry and residual gauge symmetry are found in the $\,[\textrm{SO}(1,1) \times \textrm{SO}(6)] \ltimes \mathbb{R}^{12}\,$ maximal supergravity that arises from the…

High Energy Physics - Theory · Physics 2021-05-26 Adolfo Guarino , Colin Sterckx , Mario Trigiante

We classify and construct all the smooth Kaluza-Klein reductions to ten dimensions of the M2- and M5-brane configurations which preserve some of the supersymmetry. In this way we obtain a wealth of new supersymmetric IIA backgrounds…

High Energy Physics - Theory · Physics 2008-11-26 José Figueroa-O'Farrill , Joan Simón

We develop a systematic algorithm to construct, classify and study exact solutions of type II A/B supergravity which are time--dependent and homogeneous and hence represent candidate cosmological backgrounds. Using the formalism of solvable…

High Energy Physics - Theory · Physics 2009-11-10 P. Fre' , V. Gili , F. Gargiulo , A. Sorin , K. Rulik , M. Trigiante

We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface to the case of $D$-type with outer-automorphism twists. This construction allows us to…

High Energy Physics - Theory · Physics 2015-06-17 Prarit Agarwal , Jaewon Song

We present a nonabelian Lagrangian that appears to have $(2,0)$ superconformal symmetry and that can be coupled to a supergravity background. But for our construction to work, we have to break this superconformal symmetry by imposing as a…

High Energy Physics - Theory · Physics 2020-10-28 Andreas Gustavsson