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We explore the connection of anti-de-Sitter supergravity in six dimensions, based on the exceptional F(4) superalgebra, and its boundary superconformal singleton theory. The interpretation of these results in terms of a D4-D8 system and its…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , A. Kehagias , H. Partouche , A. Zaffaroni

We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch exactly. We use stringy considerations to learn…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

This survey discusses our results and conjectures concerning supersymmetric field theories and their relationship to cohomology theories. A careful definition of supersymmetric Euclidean field theories is given, refining Segal's axioms for…

Algebraic Topology · Mathematics 2011-08-02 Stephan Stolz , Peter Teichner

In this note, we define a holographic dual to four-dimensional superconformal field theories formulated on arbitrary Riemannian manifolds equipped with a Killing vector. Moreover, assuming smoothness of the bulk solution, we study the…

High Energy Physics - Theory · Physics 2019-11-04 Pietro Benetti Genolini , Paul Richmond

This article contains an overview of some recent attempts at understanding supergravity and string duals of four dimensional gauge theories using the AdS/CFT correspondence. We discuss the general philosophy underlying the various ways to…

High Energy Physics - Theory · Physics 2008-11-26 F. Bigazzi , A. L. Cotrone , M. Petrini , A. Zaffaroni

We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we…

High Energy Physics - Theory · Physics 2007-05-23 Pierre Deligne , Daniel S. Freed

We describe in superspace a classical theory of two dimensional $(1,1)$ dilaton supergravity with a cosmological constant, both with and without coupling to a massive superparticle. We give general exact non-trivial superspace solutions for…

High Energy Physics - Theory · Physics 2009-10-31 M. E. Knutt-Wehlau , R. B. Mann

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose…

High Energy Physics - Theory · Physics 2023-10-10 Friedemann Brandt

We study the four-dimensional N=2 superconformal field theories that describe D3-branes probing the recently constructed N=2 S-folds in F-theory. We introduce a novel, infinite class of superconformal field theories related to S-fold…

High Energy Physics - Theory · Physics 2021-02-03 Simone Giacomelli , Carlo Meneghelli , Wolfger Peelaers

We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field theories. We review the background for…

High Energy Physics - Theory · Physics 2008-11-26 O. Aharony , S. S. Gubser , J. Maldacena , H. Ooguri , Y. Oz

In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to establish a set of old conjectures about symmetries in quantum gravity. These are that no global symmetries are possible, that internal gauge…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

We discuss general supersymmetric brane configurations in flux backgrounds of string and M-theory and derive a necessary condition for the worldvolume theory to be supersymmetric on a given curved manifold. This condition resembles very…

High Energy Physics - Theory · Physics 2015-11-10 Hagen Triendl

The anomaly polynomial of a theory can involve not only curvature two-forms of the flavor symmetry background but also two-forms on the space of coupling constants. As an example, we point out that there is a mixed anomaly between the…

High Energy Physics - Theory · Physics 2018-02-28 Yuji Tachikawa , Kazuya Yonekura

Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Its rigid structure ensures valuable analytic control over…

High Energy Physics - Theory · Physics 2022-11-02 Mohammad Akhond , Guillermo Arias-Tamargo , Alessandro Mininno , Hao-Yu Sun , Zhengdi Sun , Yifan Wang , Fengjun Xu

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In…

High Energy Physics - Theory · Physics 2021-05-18 Thomas B. Rochais

An overview of matter-coupled ${\cal N}=2$ supergravity theories with 8 real supercharges, in 4,5 and 6 dimensions is given. The construction of the theories by superconformal methods is explained from basic principles. Special geometry is…

High Energy Physics - Theory · Physics 2020-04-27 Edoardo Lauria , Antoine Van Proeyen

In this note we consider ${\cal N}=4$ SYM theories in 2+1 dimensions with gauge group $U(N)\times U(M)$ and $k$ hypermultiplets charged under the $U(N)$. When $k > 2(N-M)$, the theory flows to a superconformal fixed point in the IR.…

High Energy Physics - Theory · Physics 2016-07-20 William Cottrell , James Hanson , Akikazu Hashimoto

A class of conformally flat and asymptotically anti-de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parameterise the SL(N,R)/SO(N)…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , S. S. Gubser , H. Lu , C. N. Pope

We engineer a large new set of four-dimensional N=1 superconformal field theories by wrapping M5-branes on complex curves. We present new supersymmetric AdS_5 M-theory backgrounds which describe these fixed points at large N, and then…

High Energy Physics - Theory · Physics 2012-06-05 Ibrahima Bah , Christopher Beem , Nikolay Bobev , Brian Wecht