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We construct new supersymmetric Janus solutions from four-dimensional $N=3$ gauged supergravity coupled to eight vector multiplets with $SO(3)\times SU(3)$ gauge group. This gauged supergravity admits a supersymmetric $N=3$ $AdS_4$ vacuum…

High Energy Physics - Theory · Physics 2024-10-22 Parinya Karndumri

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

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory. Brane solutions are surveyed. The geometry and symmetries of…

High Energy Physics - Theory · Physics 2007-05-23 Eric D'Hoker , Daniel Z. Freedman

Contact terms in two point functions of global symmetry currents have recently been proposed as a check of Seiberg-like duality in three dimensional supersymmetric field theories. In this paper we compute the contact terms for various N=2…

High Energy Physics - Theory · Physics 2015-06-19 Antonio Amariti , Claudius Klare

We initiate a study of an infinite set of renormalization group flows with accidental supersymmetry enhancement. The ultraviolet fixed points are strongly interacting four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs)…

High Energy Physics - Theory · Physics 2018-11-14 Matthew Buican , Zoltan Laczko , Takahiro Nishinaka

Chern-Simons theories in three dimensions are topological field theories that may have a holographic interpretation for suitable chosen gauge groups and boundary conditions on the fields. Conformal Chern-Simons gravity is a topological…

High Energy Physics - Theory · Physics 2015-06-19 H. Afshar , A. Bagchi , S. Detournay , D. Grumiller , S. Prohazka , M. Riegler

We find a class of fixed point theory for 2- and 3-dimensional non-linear sigma models using Wilsonian renormalization group (WRG) approach. In 2-dimensional case, the fixed point theory is equivalent to the Witten's semi-infinite cigar…

High Energy Physics - Theory · Physics 2007-05-23 Etsuko Itou

We construct and analyse infinite classes of regular supergravity backgrounds dual to four-dimensional superconformal field theories (SCFTs) compactified on a circle with a supersymmetry-preserving twist. These flows lead to…

High Energy Physics - Theory · Physics 2025-07-24 Dimitrios Chatzis , Madison Hammond , Georgios Itsios , Carlos Nunez , Dimitrios Zoakos

We present an explicit study of the holographic renormalization group (RG) in six dimensions using minimal gauged supergravity. By perturbing the theory with the addition of a relevant operator of dimension four one flows to a…

High Energy Physics - Theory · Physics 2014-11-18 Vanicson L. Campos , Gabriele Ferretti , Henric Larsson , Dario Martelli , Bengt E. W. Nilsson

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 construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the…

High Energy Physics - Theory · Physics 2015-04-30 Maximilian Demmel , Frank Saueressig , Omar Zanusso

We study the large-$N$ limit of superconformal index for two strongly interacting Chern-Simons theories in three dimensions with $\mathcal{N}=2$ supersymmetry, and compare the result against the AdS/CFT dual, namely the data of full…

High Energy Physics - Theory · Physics 2021-11-17 Hyojoong Kim , Nakwoo Kim

We use the functional renormalization group equation for quantum gravity to construct a non-perturbative flow equation for modified gravity theories of the form $S = \int d^dx \sqrt{g} f(R)$. Based on this equation we show that certain…

High Energy Physics - Theory · Physics 2008-11-26 Pedro F. Machado , Frank Saueressig

We consider $AdS_3$ $N$-extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable…

High Energy Physics - Theory · Physics 2019-06-26 L. Andrianopoli , B. L. Cerchiai , P. A. Grassi , M. Trigiante

We investigate the UV fixed-point structure of the three-dimensional Thirring model by means of the functional renormalization group (RG). We classify all possible 4-fermi interactions compatible with the present chiral and discrete…

High Energy Physics - Theory · Physics 2010-10-27 Holger Gies , Lukas Janssen

We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in the…

High Energy Physics - Theory · Physics 2012-07-30 Edi Gava , Parinya Karndumri , K. S. Narain

We study a recently-found class of RG flows in four dimensions exhibiting enhancement of supersymmetry in the infrared, which provides a lagrangian description of several strongly-coupled N=2 SCFTs. The procedure involves starting from a…

High Energy Physics - Theory · Physics 2018-11-14 Simone Giacomelli

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

High Energy Physics - Theory · Physics 2009-10-31 A. Brandhuber , K. Sfetsos

By studying various, known extrema of 1) SU(3) sectors, 2) SO(5) sectors and 3) SO(3)xSO(3) sectors of gauged N =8 supergravity in four-dimensions, one finds that the deformation of seven sphere \S^7 gives rise to non-trivial…

High Energy Physics - Theory · Physics 2009-10-31 Changhyun Ahn , Kyungsung Woo

We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N=1…

High Energy Physics - Theory · Physics 2009-11-07 Changrim Ahn , Chanju Kim , Chaiho Rim , Al. B. Zamolodchikov