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New types "extended" (super)conformal algebras $G^{(\frac n2)}$ are presented. (Su\-per)twistor spaces $T$ are subspaces in cosets $G^{(\frac n2)}/H$. The (super)twistor correspondence has a cleary defined geometrical meaning.

High Energy Physics - Theory · Physics 2007-05-23 A. T. Banin , N. G. Pletnev

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Eric Gimon , Djordje Minic , Joachim Rahmfeld

Magical supergravities are a very special class of supergravity theories whose symmetries and matter content in various dimensions correspond to symmetries and underlying algebraic structures of the remarkable geometries of the Magic Square…

High Energy Physics - Theory · Physics 2011-04-04 M. Gunaydin , H. Samtleben , E. Sezgin

We show how toroidally-compactified eleven-dimensional supergravity can be consistently truncated to yield a variety of maximally-supersymmetric ``massive'' supergravities in spacetime dimensions $D\le 8$. The mass terms arise as a…

High Energy Physics - Theory · Physics 2009-10-07 P. M. Cowdall , H. Lu , C. N. Pope , K. S. Stelle , P. K. Townsend

This paper treats some basic points in general relativity and in its perturbative analysis. Firstly a systematic classification of global SO(n) invariants, which appear in the weak-field expansion of n-dimensional gravitational theories, is…

High Energy Physics - Theory · Physics 2009-10-30 Shoichi Ichinose , Noriaki Ikeda

In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or…

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

We develop a superspace formulation for ${\cal N}=3$ conformal supergravity in four spacetime dimensions as a gauge theory of the superconformal group $\mathsf{SU}(2,2|3)$. Upon imposing certain covariant constraints, the algebra of…

High Energy Physics - Theory · Physics 2024-01-22 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

Within the framework of six-dimensional ${\cal N}=(1,0)$ conformal supergravity, we introduce new off-shell multiplets ${\cal O}{}^{*}(n)$, where $n=3,4,\dots,$ and use them to construct higher-rank extensions of the linear multiplet…

High Energy Physics - Theory · Physics 2018-03-14 Sergei M. Kuzenko , Joseph Novak , Stefan Theisen

We study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We show that such solutions can only exist if the gauge group after spontaneous symmetry breaking is a product of two reductive groups…

High Energy Physics - Theory · Physics 2018-04-04 Severin Lust , Philipp Ruter , Jan Louis

In an earlier paper we studied the infinite-dimensional symmetries of symmetric-space sigma models (SSMs) in a flat two-dimensional spacetime. Here, we extend our investigation to the case of two-dimensional SSMs coupled to gravity. These…

High Energy Physics - Theory · Physics 2008-11-26 M. J. Perry , H. Lu , C. N. Pope

We show how to construct consistent truncations of 10-/11-dimensional supergravity to 3-dimensional gauged supergravity, preserving various amounts of supersymmetry. We show, that as in higher dimensions, consistent truncations can be…

High Energy Physics - Theory · Physics 2022-09-21 Michele Galli , Emanuel Malek

This thesis firstly investigates whether D=11 supergravity can be lifted to a higher dimensional theory without introducing additional bosonic fields by interpreting the E(7(7))-symmetry of N=8 d=4 supergravity as part of a coordinate…

High Energy Physics - Theory · Physics 2009-02-10 Christian Hillmann

We give a large class of new supersymmetric Janus solutions in dyonic $ISO(7)$ maximal gauged supergravity encompassing all known solutions appearing recently. We consider $SO(3)$ invariant sector in which the gauged supergravity admits…

High Energy Physics - Theory · Physics 2021-11-16 Parinya Karndumri , Chawakorn Maneerat

We develop the geometry of four dimensional N=2 superspace where the entire conformal algebra of SU(2,2|2) is realized linearly in the structure group rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries, extending to…

High Energy Physics - Theory · Physics 2015-05-27 Daniel Butter

This paper is an extension of the results presented in \cite{Guarino:2024gke}. We study $ G_S$-invariant subsectors of maximal gauged supergravities and show that such models can provide consistent truncations even when $G_S$ is not a…

High Energy Physics - Theory · Physics 2026-04-28 Anik Rudra , Colin Sterckx , Mario Trigiante

We analyze the vacuum structure of $\mathcal{N}=3,D=4$ supergravity coupled to 9 vector multiplets with gauge group ${\rm SO}(3)\times {\rm SU}(3)$. Aside from the central $\mathcal{N}=3$ AdS$_4$ vacuum at the origin, on which the…

High Energy Physics - Theory · Physics 2022-10-05 Pietro Fré , Alfredo Giambrone , Daniele Ruggeri , Mario Trigiante , Petr Vaško

Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their associated modular…

Quantum Algebra · Mathematics 2009-04-14 Robert Coquereaux , Gil Schieber

We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincar\'e symmetries manifestly. The remaining four supersymmetries and the rest…

High Energy Physics - Theory · Physics 2020-04-22 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch , Stephen Randall

This paper presents a projective superspace formulation for 4D N = 2 matter-coupled supergravity. We first describe a variant superspace realization for the N = 2 Weyl multiplet. It differs from that proposed by Howe in 1982 by the choice…

High Energy Physics - Theory · Physics 2009-01-27 S. M. Kuzenko , U. Lindstrom , M. Rocek , G. Tartaglino-Mazzucchelli

We study $dS_5$ vacua within matter-coupled $N=4$ gauged supergravity in five dimensions using the embedding tensor formalism. With a simple ansatz for solving the extremization and positivity of the scalar potential, we derive a set of…

High Energy Physics - Theory · Physics 2019-10-15 H. L. Dao , Parinya Karndumri
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