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In $D=4$, $\cal{N}=1$ conformal superspace, the Yang-Mills matter coupled supergravity system is constructed where the Yang-Mills gauge interaction is introduced by extending the superconformal group to include the K\"ahler isometry group…

High Energy Physics - Theory · Physics 2019-12-10 Taichiro Kugo , Ryo Yokokura , Koichi Yoshioka

We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential…

High Energy Physics - Theory · Physics 2020-10-12 Siyul Lee , Sungjay Lee

In a attempt to treat a supergravity as a tensor representation, the 4-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc)graded extension of the ordinary Penrose-twistor formulation, performed in a…

High Energy Physics - Theory · Physics 2016-09-22 Diego Julio Cirilo-Lombardo , Victor N. Pervushin

We use holographic renormalization of minimal $\mathcal{N}=2$ gauged supergravity in order to derive the general form of the quantum Ward identities for 3d $\mathcal{N}=2$ and 4d $\mathcal{N}=1$ superconformal theories on general curved…

High Energy Physics - Theory · Physics 2017-08-02 Ioannis Papadimitriou

A multiplet calculus is presented for an arbitrary number n of N=2 tensor supermultiplets. For rigid supersymmetry the known couplings are reproduced. In the superconformal case the target spaces parametrized by the scalar fields are cones…

High Energy Physics - Theory · Physics 2009-11-11 Bernard de Wit , Frank Saueressig

Off-shell formulations of supergravities allow one to add closed-form higher-derivative super-invariants that are separately supersymmetric to the usual lower-derivative actions. In this paper we study four-dimensional off-shell N=1…

High Energy Physics - Theory · Physics 2013-05-21 Hai-Shan Liu , Hong Lu , Yi Pang , C. N. Pope

A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Butter , Bernard de Wit , Sergei M. Kuzenko , Ivano Lodato

We classify the large $N$ limits of four-dimensional supersymmetric gauge theories with simple gauge groups that flow to superconformal fixed points. We restrict ourselves to the ones without a superpotential and with a fixed flavor…

High Energy Physics - Theory · Physics 2021-10-27 Prarit Agarwal , Ki-Hong Lee , Jaewon Song

We extend the f(R) gravity action by including a generic dependence upon the Weyl tensor, and further generalize it to supergravity by using the super-curvature (R) and super-Weyl (W) chiral superfields in N=1 chiral curved superspace. We…

High Energy Physics - Theory · Physics 2013-07-24 Sergei V. Ketov , Takahiro Terada

We present a variant formulation of N=1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. This formulation resembles our previous variant supersymmetric compensator mechanism in 4D. Our field…

High Energy Physics - Theory · Physics 2015-06-17 Hitoshi Nishino , Subhash Rajpoot

We deform the standard four dimensional $\N=1$ superspace by making the odd coordinates $\theta$ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of the coordinates. In particular,…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Seiberg

We find the most general supersymmetric solutions of ungauged N=1,d=4 supergravity coupled to an arbitrary number of vector and chiral supermultiplets, which turn out to be essentially pp-waves and strings. We also introduce magnetic…

High Energy Physics - Theory · Physics 2010-02-03 Tomas Ortin

Based on the structure of the three-dimensional superconformal algebra we show that every irreducible ${\mathcal N}=6$ three-dimensional superconformal theory containes exactly one conserved U(1)-symmetry current in the stress tensor…

High Energy Physics - Theory · Physics 2011-08-23 Denis Bashkirov

The recent developments in fluid/gravity correspondence give a new impulse to the study of fluid dynamics of supersymmetric theories. In that respect, the entropy current formalism requires some modifications in order to be adapted to…

High Energy Physics - Theory · Physics 2013-10-16 L. Andrianopoli , R. D'Auria , P. A. Grassi , M. Trigiante

We extend our formulation of the covariant quantum superstring as a WZNW model with N=2 superconformal symmetry to N=4. The two anticommuting BRST charges in the N=4 multiplet of charges are the usual BRST charge Q_S and a charge Q_V…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , P. van Nieuwenhuizen

We show that, for standard N=1 supergravity coupled to chiral matter, if the Kahler potential has no terms linear in chiral superfields then none are generated through quad. div. one--loop corrections. If however <V>=0 and susy is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Vidyut Jain

We identify a particularly simple class of supergravity models describing superconformal coupling of matter to supergravity. In these models, which we call the canonical superconformal supergravity (CSS) models, the kinetic terms in the…

High Energy Physics - Theory · Physics 2011-01-28 Sergio Ferrara , Renata Kallosh , Andrei Linde , Alessio Marrani , Antoine Van Proeyen

We discuss a new interaction for chiral models in four-dimensional ${\cal N}=1$ supergavity. It contains a new arbitrary function in addition to the K\"ahler potential and superpotential. Its features include linearly realized off-shell…

High Energy Physics - Theory · Physics 2018-07-04 Fotis Farakos , Alex Kehagias , Antonio Riotto

A consistent N=1 supersymmetric $\sigma$-model can be constructed, given a K\"ahler manifold by adding chiral matter multiplets. Their scalar components are covariant tensors on the underlying K\"ahler manifold. The K\"ahler U(1)-charges…

High Energy Physics - Theory · Physics 2011-10-11 S. Groot Nibbelink , J. W. van Holten

We present a new compactification of chiral, N=2 ten-dimensional supergravity down to five dimensions and show that it corresponds to the N=2 supersymmetric critical point of five-dimensional, N=8 gauged supergravity found in [KPW]. This…

High Energy Physics - Theory · Physics 2009-10-31 Krzysztof Pilch , Nicholas P. Warner
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