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In this paper we explore the relation between conformal superalgebras with 64 supercharges and maximal supergravity theories in three, four and six dimensions using twistorial oscillator techniques. The massless fields of N=8 supergravity…

High Energy Physics - Theory · Physics 2015-05-30 Marco Chiodaroli , Murat Gunaydin , Radu Roiban

We show that the (1,0) tensor and hypermultiplet supersymmetry variations can be uplifted to loop space. Upon dimensional reduction we make contact with abelian five-dimensional super Yang-Mills, which has a nonabelian generalization that…

High Energy Physics - Theory · Physics 2024-07-23 Dongsu Bak , Andreas Gustavsson

We obtain generating functions associated to the abelian superconformal indices for 6d $(1,0)$ tensor and hypermultiplets on $S^1\times (S^5/Z_p)$. We extract the superconformal indices and their high and low temperature behaviors. We…

High Energy Physics - Theory · Physics 2019-07-24 Andreas Gustavsson

We consider the problem of supersymmetry breaking in 5 dimensional N=1 supersymmetric models with $S^1/Z_2$ compactification.

High Energy Physics - Theory · Physics 2017-08-23 M. Chaichian , A. Kobakhidze , M. Tsulaia

We develop the bivector formalism in higher dimensional Lorentzian spacetimes. We define the Weyl bivector operator in a manner consistent with its boost-weight decomposition. We then algebraically classify the Weyl tensor, which gives rise…

General Relativity and Quantum Cosmology · Physics 2010-01-06 A Coley , S Hervik

The formalism to determine (conformal) isometries of a given curved superspace was elaborated almost two decades ago in the context of the old minimal formulation for N=1 supergravity in four dimensions (4D). This formalism is universal,…

High Energy Physics - Theory · Physics 2015-06-12 Sergei M. Kuzenko

Theories in 5 dimensions with minimal supersymmetry are studied for domain-wall solutions and in the context of the AdS/CFT correspondence. The scalar manifold is a product of a very special real manifold and a quaternionic-Kaehler…

High Energy Physics - Theory · Physics 2009-11-07 Antoine Van Proeyen

Recent one-loop calculations of certain supergravity-mediated quantum corrections in supersymmetric brane-world models employ either the component formulation (hep-th/0305184) or the superfield formalism with only half of the bulk…

High Energy Physics - Theory · Physics 2009-11-11 Sergei M. Kuzenko , William D. Linch

We give the full lagrangean and supersymmetry transformation rules for D=5, N=2 supergravity interacting with an arbitrary number of vector, tensor and hyper-multiplets, with gauging of the R-symmetry group SU(2)_R as well as a subgroup K…

High Energy Physics - Theory · Physics 2009-10-31 A. Ceresole , G. Dall'Agata

We construct supersymmetric $AdS_5\times \Sigma$ solutions of $D=7$ gauged supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle. These uplift on $S^4$ to solutions of $D=11$ supergravity which have orbifold…

High Energy Physics - Theory · Physics 2021-11-17 Pietro Ferrero , Jerome P. Gauntlett , Dario Martelli , James Sparks

Five-branes lead in four dimensions to massless N=1 supermultiplets if M-theory is compactified on S1/Z2 x (a Calabi-Yau threefold). One of them describes the modulus associated with the position of the five-brane along the circle S1. We…

High Energy Physics - Theory · Physics 2009-10-31 Jean-Pierre Derendinger , Roger Sauser

We describe in detail the derivation of a superconformal off-shell formulation of the alternative $\mathcal{N}=2$, $d=5$ ungauged supergravity of Nishino and Rajpoot, coupled to $n$ Abelian vector multiplets, using a general dilaton-Weyl…

High Energy Physics - Theory · Physics 2015-04-21 Peter Sloane

We take first steps toward a theory of ``conformal twists'' for superconformal field theories in dimension 3 to 6, extending the well-known analysis of twists for supersymmetric theories. A conformal twist is a square-zero odd element in…

Mathematical Physics · Physics 2026-01-12 Chris Elliott , Owen Gwilliam , Matteo Lotito

Superconformal symmetry in six-dimensions is analyzed in terms of coordinate transformations on superspace. A superconformal Killing equation is derived and its solutions are identified in terms of supertranslations, dilations, Lorentz…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

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 analyze the structure of a particular higher derivative correction of five-dimensional ungauged and gauged supergravity with eight supercharges. Specifically, we determine all the purely bosonic terms which are connected by the…

High Energy Physics - Theory · Physics 2008-11-26 Kentaro Hanaki , Keisuke Ohashi , Yuji Tachikawa

We construct a new dilaton Weyl multiplet for $\mathcal{N}=3$ conformal supergravity in four dimensions. The R-symmetry realized on this dilaton Weyl multiplet is $SU(2) \times U(1) \times U(1)$. The construction follows a two-step…

High Energy Physics - Theory · Physics 2025-06-05 Soumya Adhikari , Aravind Aikot , Bindusar Sahoo , Madhu Mishra

The (4,0) supermultiplet in 6 dimensions contains a 4th rank tensor gauge field with the symmetries of the Riemann tensor and is superconformal, with 32+32 supersymmetries. Dimensional reduction on a circle gives the 5D N=8 supergravity…

High Energy Physics - Theory · Physics 2022-09-26 Chris Hull

We construct new infinite classes of Euclidean supersymmetric solutions of four dimensional minimal gauged supergravity comprising a $U (1) \times U (1)$-invariant asymptotically locally hyperbolic metric on the total space of orbifold line…

High Energy Physics - Theory · Physics 2025-03-13 Matteo Kevin Crisafio , Alessio Fontanarossa , Dario Martelli

We give a supersymmetric extension to the six-dimensional Penrose transform and give an integral formula for the on-shell (0, 2) supermultiplet. The relationship between super fields on space-time and twistor space is clarified and the…

High Energy Physics - Theory · Physics 2012-12-27 L. J. Mason , R. A. Reid-Edwards