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We discuss the Einstein tensor, the supercurrent and their conservation laws of old and new minimal formulations of supergravity in the superconformal approach. The variation of the action with respect to the gauge field of the $R$-symmetry…

高能物理 - 理论 · 物理学 2019-12-24 Sergio Ferrara , Marine Samsonyan , Magnus Tournoy , Antoine Van Proeyen

We give a linearized but otherwise complete supersymmetric action for ${\cal N}=(4,0)$ supergravity in six dimensions, using a Kaluza-Klein-type $5+1$ split of coordinates and fields. We provide in particular a significantly simplified…

高能物理 - 理论 · 物理学 2022-09-14 Yannick Bertrand , Stefan Hohenegger , Olaf Hohm , Henning Samtleben

We modify the four-dimensional N=1 linearized supergravity in a way that components in each superfield are completely identified with fields in the full superconformal formulation. This identification makes it possible to use both…

高能物理 - 理论 · 物理学 2015-05-28 Yutaka Sakamura

In this paper we study the spectrum of all conformal, ${\cal N}$-extended supergravities (${\cal N}=1,2,3,4$) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl$^2$supergravity, the…

高能物理 - 理论 · 物理学 2018-09-26 Sergio Ferrara , Alex Kehagias , Dieter Lust

The theory described by the sum of the Einstein-Hilbert action and the action of conformal scalar field possesses the duality symmetry which includes some special conformal transformation of the metric, and also inversion of scalar field…

高能物理 - 理论 · 物理学 2009-10-30 I. L. Shapiro

We study off-shell rigid limits for the kinetic and scalar-potential terms os a single N=2 hypermultiplet. In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kahler and hyper-Kahler target spaces…

高能物理 - 理论 · 物理学 2016-11-30 Ignatios Antoniadis , Jean-Pierre Derendinger , P. Marios Petropoulos , Konstantinos Siampos

We construct the six-point NMHV one-loop amplitude in ${\cal N}=4$ supergravity using unitarity and recursion. The use of recursion requires the introduction of rational descendants of the cut-constructible pieces of the amplitude and the…

高能物理 - 理论 · 物理学 2017-01-04 David C. Dunbar , Warren B. Perkins

We consider the most general form for eleven dimensional supersymmetry compatible with on-shell superfields. This allows for the introduction of a conformal Spin(1,10) connection. In eleven dimensional Minkowski space this modification is…

高能物理 - 理论 · 物理学 2009-10-30 P. S. Howe , N. D. Lambert , P. C. West

We construct Exceptional Field Theory for the group $SO(5,5)$ based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal $D=6$ supergravity. We present both a true action and a duality-invariant…

高能物理 - 理论 · 物理学 2015-06-24 Aidar Abzalov , Ilya Bakhmatov , Edvard T. Musaev

Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special conformal group acts via rotations and boosts, and conformal…

高能物理 - 理论 · 物理学 2017-01-05 Steven Duplij , Gerald A. Goldin , Vladimir Shtelen

We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal…

高能物理 - 理论 · 物理学 2009-11-07 Nicolas Boulanger , Marc Henneaux , Peter van Nieuwenhuizen

In the context of six-dimensional supergravity there is a special class of parent models for five-dimensional theories defined by the four Euclidean simple Jordan algebras of degree 3. We extend this result to include six- dimensional…

高能物理 - 理论 · 物理学 2011-12-14 P. Kouroumalou

The textbook N=1 supergravity has an F-term potential depending on a superpotential $W(z_i)$ and a Kahler potential $K(z^i, \bar z^{\bar i})$, with the scalar potential $V(z^i, \bar z^{\bar i})=e^K (|DW|^2 - 3 |W|^2)$. In this approach, it…

高能物理 - 理论 · 物理学 2026-03-17 Renata Kallosh , Andrei Linde

We use the manifestly N=2 supersymmetric, off-shell, harmonic (or twistor) superspace approach to solve the constraints implied by four-dimensional N=2 superconformal symmetry on the N=2 non-linear sigma-model target space, known as the…

高能物理 - 理论 · 物理学 2009-10-31 Sergei V. Ketov

The motion of a particle near the Reissner-Nordstrom black hole horizon is described by conformal mechanics. In this paper we present an extended one-dimensional analysis of the N=4 superconformal mechanics coupled to n copies of N=8, d=1…

高能物理 - 理论 · 物理学 2008-12-18 S. Bellucci , S. Krivonos , A. Shcherbakov , A. Sutulin

We study six-dimensional N=(1,0) supergravity theories with abelian, as well as non-abelian, gauge group factors. We show that for theories with fewer than nine tensor multiplets, the number of possible combinations of gauge groups -…

高能物理 - 理论 · 物理学 2012-06-13 Daniel S. Park , Washington Taylor

Building on the superspace formulation for four-dimensional N=2 matter-coupled supergravity developed in arXiv:0805.4683, we elaborate upon a general setting for field theory in N=2 conformally flat superspaces, and concentrate specifically…

高能物理 - 理论 · 物理学 2011-08-04 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

For nonlinear models of an Abelian vector supermultiplet coupled to N = 2 supergravity in four dimensions, we formulate the self-duality equation which expresses invariance under U(1) duality rotations. In the flat space limit, this…

高能物理 - 理论 · 物理学 2015-06-04 Sergei M. Kuzenko

Dimensional reduction of maximal supergravity to two dimensions leads to an infinite-dimensional (non-local) symmetry group W x E_9 which has a simpler action when the bosonic fields are dualised to an infinite tower of dual potentials. We…

高能物理 - 理论 · 物理学 2007-05-23 Louis Paulot

We consider Chern-Simons actions of Abelian tensor hierarchy of $p$-form gauge fields in four-dimensional ${\cal N}=1$ supergravity. Using conformal superspace formalism, we solve the constraints on the field strengths of the $p$-form gauge…

高能物理 - 理论 · 物理学 2017-02-01 Ryo Yokokura
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