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The Planck value of the spectral index can be interpreted as $n_s = 1 - 2/N$ in terms of the number of e-foldings $N$. An appealing explanation for this phenomenological observation is provided by $\alpha$-attractors: the inflationary…

High Energy Physics - Theory · Physics 2015-09-17 Diederik Roest , Marco Scalisi

We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we first construct the linearized superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Eric Bergshoeff , Ergin Sezgin , Antoine Van Proeyen

In the presence of large extra dimensions, the fundamental Planck scale can be much lower than the apparent four-dimensional Planck scale. In this setup, the weak gravity conjecture implies a much more stringent constraint on the UV cutoff…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Guo Huang

We construct a 6D supergravity theory which emerges as intermediate step in the compactification of the heterotic string to the supersymmetric standard model in four dimensions. The theory has N=2 supersymmetry and a gravitational sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Buchmüller , C. Lüdeling , J. Schmidt

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear…

Quantum Physics · Physics 2009-11-10 George Svetlichny

In this paper we first give a simple parametrization of the scalar coset manifold of the only known anomaly free chiral gauged supergravity in six dimensions in the absence of linear multiplets, namely gauged minimal supergravity coupled to…

High Energy Physics - Theory · Physics 2010-04-05 S. Randjbar-Daemi , E. Sezgin

Combining the quantum scale invariance with the absence of new degrees of freedom above the electroweak scale leads to stability of the latter against perturbative quantum corrections. Nevertheless, the hierarchy between the weak and the…

High Energy Physics - Theory · Physics 2018-10-08 Mikhail Shaposhnikov , Andrey Shkerin

We consider Melvin-like cosmological and static solutions for the theories of ${\cal N}=2$, $D=4$ supergravity coupled to vector multiplets. We analyze the equations of motion and give some explicit solutions with one scalar and two gauge…

High Energy Physics - Theory · Physics 2023-06-08 W. A. Sabra

Basics of ${\cal N}=2, 4D$ conformal and Einstein supergravities in the harmonic superspace approach are outlined. The crucial merit of this formulation consists in that the relevant off-shell supermultiplets, in particular ${\cal N}=2, 4D$…

High Energy Physics - Theory · Physics 2022-12-16 Evgeny Ivanov

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

Models of 4D $\mathcal{N}=1$ supergravity coupled to chiral multiplets with vanishing or positive scalar potential have been denoted as no-scale. Of particular interest in the context of string theory are models which additionally possess a…

High Energy Physics - Theory · Physics 2016-01-27 David Ciupke , Lucila Zarate

We construct the so far unknown Lagrangian of D=6, N=2 F(4) Supergravity coupled to an arbitrary number of vector multiplets whose scalars span the coset manifold SO(4,n)/{SO(4) x SO(n)}. This is done first in the ungauged case and then…

High Energy Physics - Theory · Physics 2009-11-07 Laura Andrianopoli , Riccardo D'Auria , Silvia Vaula`

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold SO(4,n)/SO(4)\times…

High Energy Physics - Theory · Physics 2015-06-25 Riccardo D'Auria , Sergio Ferrara , Silvia Vaulà

We present a novel supersymmetric solution to a nonlinear sigma model coupled to supergravity. The solution represents a static, supersymmetric, codimension-two object, which is different to the familiar cosmic strings. In particular, we…

High Energy Physics - Theory · Physics 2016-09-06 S. L. Parameswaran , G. Tasinato , I. Zavala

We derive the N=1 supersymmetric extension for a class of weakly nonlocal four dimensional gravitational theories.The construction is explicitly done in the superspace and the tree-level perturbative unitarity is explicitly proved both in…

High Energy Physics - Theory · Physics 2016-05-13 Stefano Giaccari , Leonardo Modesto

The superspace formulation of N=1 conformal supergravity in four dimensions is demonstrated to be equivalent to the conventional component field approach based on the superconformal tensor calculus. The detailed correspondence between two…

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

In this work, we investigate possible supersymmetric extensions of the Carrollian algebra and the Carrollian conformal algebra in both $d=4$ and $d=3$. For the super-Carrollian algebra in $d=4$, we identify multiple admissible structures,…

High Energy Physics - Theory · Physics 2025-09-04 Yu-fan Zheng , Bin Chen

We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it…

High Energy Physics - Theory · Physics 2012-11-22 Laurent Baulieu , Marc Bellon , Valentin Reys

Within the supertwistor approach, we analyse the superconformal structure of 4D N = 2 compactified harmonic/projective superspace. In the case of 5D superconformal symmetry, we derive the superconformal Killing vectors and related building…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko

We study N=1,2,4 higher spin superalgebras in four dimensions and higher spin gauge theories based on them. We extend the existing minimal N=2,4 theories and find a minimal N=1 theory. Utilizing the basic structure of the minimal N=8…

High Energy Physics - Theory · Physics 2009-11-07 J. Engquist , E. Sezgin , P. Sundell