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A consistent truncation of IIB on S^5 has been obtained in the sector of the metric and the 4-form potential. The ansatz contains 20 scalars and all 15 gauge fields of ${\cal N}=8$ gauged supergravity in five dimensions. With this fully…

高能物理 - 理论 · 物理学 2009-10-31 I. Y. Park , A. Sadrzadeh , T. A. Tran

In this note we construct a new class of superconformal field theories as mass deformed N=4 super Yang-Mills theories. We will argue that these theories correspond to the fixed points which were recently found by Khavaev, Pilch and Warner…

高能物理 - 理论 · 物理学 2009-10-07 Andreas Karch , Dieter Lust , Andre Miemiec

We revisit the construction in four-dimensional gauged $Spin(4)$ supergravity of the holographic duals to topologically twisted three-dimensional $\mathcal{N}=4$ field theories. Our focus in this paper is to highlight some subtleties…

高能物理 - 理论 · 物理学 2022-02-03 Pietro Benetti Genolini , Matan Grinberg , Paul Richmond

This is an introductory review of the AdS/CFT correspondence and of the ideas that led to its formulation. We show how comparison of stacks of D3-branes with corresponding supergravity solutions leads to dualities between conformal large…

高能物理 - 理论 · 物理学 2017-08-23 Igor R. Klebanov

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method…

高能物理 - 理论 · 物理学 2018-07-31 Sean P. Bartz , Aditya Dhumuntarao , Joseph I. Kapusta

We construct type IIB supergravity duals of non-anticommutative deformed N = 4 SU(N) gauge theories. We consider in particular deformations preserving N = (1,0) and N = (1/2,0) supersymmetry. Such theories can be realised on N D3-branes in…

高能物理 - 理论 · 物理学 2010-02-03 Chong-Sun Chu , Shou-Huang Dai , Douglas J. Smith

We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries'…

高能物理 - 理论 · 物理学 2016-09-06 A. Ceresole , R. D'Auria , S. Ferrara , A. Van Proeyen

The holographic renormalization group (RG) is reviewed in a self-contained manner. The holographic RG is based on the idea that the radial coordinate of a space-time with asymptotically AdS geometry can be identified with the RG flow…

高能物理 - 理论 · 物理学 2009-11-07 Masafumi Fukuma , So Matsuura , Tadakatsu Sakai

We consider non(anti)commutative superspace with coordinate dependent deformation parameters $C^{\alpha\beta}$. We show that a chiral ${\cal N}=1/2$ supersymmetry can be defined and that chiral and antichiral superfields are still closed…

高能物理 - 理论 · 物理学 2009-11-11 L. G. Aldrovandi , F. A. Schaposnik , G. A. Silva

We show how the linear special conformal transformation in four-dimensional N=4 super Yang-Mills theory is metamorphosed into the nonlinear and field-dependent transformation for the collective coordinates of Dirichlet 3-branes, which…

高能物理 - 理论 · 物理学 2009-10-31 A. Jevicki , Y. Kazama , T. Yoneya

The anti-de-Sitter/conformal field theory (AdS/CFT) correspondence is used to provide an estimate of the radius of convergence of the linearized gradient expansion of the hydrodynamic description of $\mathcal{N}=4$ supersymmetric Yang-Mills…

高能物理 - 理论 · 物理学 2024-07-19 Casey Cartwright

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…

高能物理 - 理论 · 物理学 2009-10-31 A. Brandhuber , K. Sfetsos

We study the anomalies of two-dimensional BPS defects in six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories. Using a holographic description of these defects furnished by probe D4-branes in AdS${}_7$ solutions of…

高能物理 - 理论 · 物理学 2024-08-27 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

We generalize, in a manifestly Weyl-invariant way, our previous expressions for irregular singularity wave functions in two-dimensional SU(2) q-deformed Yang-Mills theory to SU(N). As an application, we give closed-form expressions for the…

高能物理 - 理论 · 物理学 2017-10-25 Matthew Buican , Takahiro Nishinaka

We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

高能物理 - 理论 · 物理学 2021-06-30 Yolanda Lozano , Anayeli Ramirez

We show that there exists a consistent truncation of 11 dimensional supergravity to the 'massless' fields of maximal (N=4) 7 dimensional gauged supergravity. We find the complete expressions for the nonlinear embedding of the 7 dimensional…

高能物理 - 理论 · 物理学 2009-10-31 Horatiu Nastase , Diana Vaman , Peter van Nieuwenhuizen

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…

高能物理 - 理论 · 物理学 2025-10-15 Paul Merrikin

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory…

高能物理 - 理论 · 物理学 2009-10-31 S. Ferrara , M. A. Lledó

In gauge theories, not all rigid symmetries of the classical action can be maintained manifestly in the quantization procedure, even in the absence of anomalies. If this occurs for an anomaly-free symmetry, the effective action is invariant…

高能物理 - 理论 · 物理学 2010-04-05 S. M. Kuzenko , I. N. McArthur

We present an explicit formulation of supersymmetric Yang-Mills theories from $\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides the rules for globally supersymmetric model building with extra dimensions and in…

高能物理 - 理论 · 物理学 2009-11-07 Nima Arkani-Hamed , Thomas Gregoire , Jay Wacker