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We consider the deformations of a supersymmetric quantum field theory by adding spacetime-dependent terms to the action. We propose to describe the renormalization of such deformations in terms of some cohomological invariants, a class of…

High Energy Physics - Theory · Physics 2020-03-18 Andrei Mikhailov

We analyse the 4-dimensional effective supergravity theories obtained from the Scherk--Schwarz reduction of M-theory on twisted 7-tori in the presence of 4-form fluxes. We implement the appropriate orbifold projection that preserves a…

High Energy Physics - Theory · Physics 2010-12-03 Gianguido Dall'Agata , Nikolaos Prezas

We study compactifications of an infinite family of four-dimensional $\mathcal{N}=1$ SCFTs on a Riemann surface in the presence of arbitrary background fluxes for global symmetries. The four-dimensional parent theories have holographic…

High Energy Physics - Theory · Physics 2020-04-22 Christopher Couzens , Huibert het Lam , Kilian Mayer

We consider a certain ${\cal N}=1$ supersymmetric, $SO(3)\times SO(3)$ invariant, subsector of the $\omega$-deformed family of $SO(8)$-gauged ${\cal N}=8$ four-dimensional supergravities. The theory contains two scalar fields and two…

High Energy Physics - Theory · Physics 2015-10-19 Yi Pang , C. N. Pope , Junchen Rong

Solutions of D=7 maximal gauged supergravity are constructed with metrics that are a product of a n-dimensional anti-de Sitter (AdS) space, with n=2,3,4,5, and certain Einstein manifolds. The gauge fields have the same form as in the…

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

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 present new families of $AdS_5$ solutions in M-theory preserving 4d ${\mathcal N = 2}$ supersymmetry. We perform a systematic analysis of holographic observables for these solutions, providing evidence for an interpretation in terms of…

High Energy Physics - Theory · Physics 2022-12-14 Ibrahima Bah , Federico Bonetti , Emily Nardoni , Thomas Waddleton

Type IIB AdS$_6$ solutions with orientifold 7-planes are constructed. The geometry is a warped product of AdS$_6$ and S$^2$ over a Riemann surface $\Sigma$ and the O7-planes correspond to a particular type of puncture on $\Sigma$. The…

High Energy Physics - Theory · Physics 2020-05-20 Christoph F. Uhlemann

We consider three dimensional conformal field theories living on a stack of N anti-M2 branes at the tip of eight-dimensional supersymmetric cones. The corresponding supergravity solution is obtained by changing sign to the four-form in the…

High Energy Physics - Theory · Physics 2011-05-19 Davide Forcella , Alberto Zaffaroni

In this thesis, the AdS/CFT correspondence is used as a tool to explore novel AdS$_5$ Supergravity backgrounds (containing five-dimensional Anti-de Sitter spacetime) and their dual (four dimensional) Conformal Field Theory descriptions. In…

High Energy Physics - Theory · Physics 2025-10-15 Paul Merrikin

We construct RG flow solutions interpolating AdS and Schrodinger geometries in Abelian Higgs models obtained from consistent reductions of type IIB supergravity and M-theory. We find that z=2 Schrodinger geometries can be realized at the…

High Energy Physics - Theory · Physics 2015-05-30 Takaaki Ishii , Tatsuma Nishioka

We consider holographic RG flow solutions with eight supersymmetries and study the geometry transverse to the brane. For both M2-branes and for D3-branes in F-theory this leads to an eight-manifold with only a four-form flux. In both…

High Energy Physics - Theory · Physics 2010-02-03 Chethan N. Gowdigere , Nicholas P. Warner

We study Schr\"odinger invariant deformations of the AdS_3 x S^3 x T^4 (or K3) solution of IIB supergravity and find a large class of solutions with integer and half-integer dynamical exponents. We analyze the supersymmetries preserved by…

High Energy Physics - Theory · Physics 2013-02-19 Nikolay Bobev , Balt C. van Rees

We generalize the $T\overline{T}$ deformation of CFT$_2$ to higher-dimensional large-$N$ CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We…

High Energy Physics - Theory · Physics 2019-05-29 Thomas Hartman , Jorrit Kruthoff , Edgar Shaghoulian , Amirhossein Tajdini

Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4-manifold M from certain solutions of 2-dimensional BF theory on any framed surface Sigma embedded in M. In these…

General Relativity and Quantum Cosmology · Physics 2009-10-30 John C. Baez

We study supersymmetric AdS_4 x X_7 solutions of 11-dim supergravity where the tri-Sasakian space X_7 has generically U(1)^2\times SU(2)_R isometry. The compact and regular 7-dim spaces X_7=S(t_1,t_2,t_3) is originated from 8-dim…

High Energy Physics - Theory · Physics 2017-09-07 Ki-Myeong Lee , Ho-Ung Yee

Based on the uniqueness and universality of gravity, it is clear that theories with different dynamical exponents are related in the holographic approach. Concretely, we construct an M-theory background from pure QCD dual and show that a…

High Energy Physics - Theory · Physics 2010-04-15 Feng Wu

We study holographic solutions describing RG flows across dimensions from five-dimensional $N=2$ SCFT to SCFTs in three and two dimensions using matter-coupled $F(4)$ gauged supergravity with $ISO(3)\times U(1)$ gauge group. By performing…

High Energy Physics - Theory · Physics 2025-02-18 Parinya Karndumri

The aim of this paper is to explore D-dimensional theories of pure gravity whose space of solutions contains certain class of AdS-waves, including in particular Schrodinger invariant spacetimes. This amounts to consider higher order…

High Energy Physics - Theory · Physics 2011-06-02 Eloy Ayón-Beato , Gaston Giribet , Mokhtar Hassaïne

This article is a summary of some of the author's work on Sasaki-Einstein geometry. A rather general conjecture in string theory known as the AdS/CFT correspondence relates Sasaki-Einstein geometry, in low dimensions, to superconformal…

Differential Geometry · Mathematics 2008-10-16 James Sparks