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As in two and four dimensions, supersymmetric conformal field theories in three dimensions can have exactly marginal operators. These are illustrated in a number of examples with N=4 and N=2 supersymmetry. The N=2 theory of three chiral…

High Energy Physics - Theory · Physics 2007-05-23 Matthew J. Strassler

We study the origin of the supersymmetry breaking induced by the mediation of gravity and the radion multiplet from the hidden to the visible brane in the context of the N=2, D=5 supergravity compactified on S_1/Z_2 orbifolds. The soft…

High Energy Physics - Theory · Physics 2014-11-20 G. A. Diamandis , B. C. Georgalas , P. Kouroumalou , A. B. Lahanas

We investigate a braneworld model generated by a global monopole in the context of Brans-Dicke gravity. After solving the dynamical equations we found a model capable to alleviate the so-called hierarchy problem. The obtained framework is…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Thiago R. P. Caramês , J. M. Hoff da Silva

Over the $(1,n)$-dimensional real superspace, $n>1$, we classify $\mathcal{K}(n)$-invariant binary differential operators acting on the superspaces of weighted densities, where $\mathcal{K}(n)$ is the Lie superalgebra of contact vector…

Representation Theory · Mathematics 2013-06-04 Mabrouk Ben Ammar , Nizar Ben Fraj , Salem Omri

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we…

High Energy Physics - Theory · Physics 2021-04-28 Nikolay Bobev , Anthony M. Charles , Dongmin Gang , Kiril Hristov , Valentin Reys

We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D=5 and comment on 8-branes in D=10. The new construction has an interpretation that the brane is a sink for the flux and requires adding to…

High Energy Physics - Theory · Physics 2009-10-31 Eric Bergshoeff , Renata Kallosh , Antoine Van Proeyen

We present a detailed study of the reduction to 4D of 5D supergravity compactified on the S^1/Z_2 orbifold. For this purpose we develop and employ a recently proposed N=1 conformal superfield description of the 5D supergravity couplings to…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Paccetti Correia , Michael G. Schmidt , Zurab Tavartkiladze

We study four-derivative corrections to four-dimensional $\mathcal{N}=2$ minimal gauged supergravity and show that they are controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not…

High Energy Physics - Theory · Physics 2020-09-30 Nikolay Bobev , Anthony M. Charles , Kiril Hristov , 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

A SU(3) \times SU(2) \times U(1) supersymmetric theory is constructed with a TeV sized extra dimension compactified on the orbifold S^1/(Z_2 \times Z_2'). The compactification breaks supersymmetry leaving a set of zero modes which…

High Energy Physics - Phenomenology · Physics 2009-09-29 Riccardo Barbieri , Lawrence J. Hall , Yasunori Nomura

We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk…

High Energy Physics - Theory · Physics 2015-10-15 M. Naghdi

Let $\nu = (\nu_1, \ldots, \nu_n) \in (-1/2, \infty)^n$, with $n \ge 1$, and let $\Delta_\nu$ be the multivariate Bessel operator defined by \[ \Delta_{\nu} = -\sum_{j=1}^n\left( \frac{\partial^2}{\partial x_j^2} - \frac{\nu_j^2 -…

Classical Analysis and ODEs · Mathematics 2025-04-17 The Anh Bui

We extend the results of arXiv:1401.1645 on the generalized conformal Sp(2n)-structure of infinite multiplets of higher spin fields, formulated in spaces with extra tensorial directions (hyperspaces), to the description of…

High Energy Physics - Theory · Physics 2015-02-10 Ioannis Florakis , Dmitri Sorokin , Mirian Tsulaia

We consider supersymmetric non-Abelian gauge theories coupled to hyper multiplets on five and six dimensional orbifolds, S^1/Z_2 and T^2/Z_N, respectively. We compute the bulk and local fixed point renormalizations of the gauge couplings.…

High Energy Physics - Theory · Physics 2009-09-29 Stefan Groot Nibbelink , Mark Hillenbach

Following a recent suggestion by Randall and Sundrum, we consider string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold. A specific example is provided by the type II…

High Energy Physics - Theory · Physics 2009-10-31 Herman Verlinde

A realistic SU(3)_C x SU(3)_W unified theory is constructed with a TeV sized extra dimension compactified on the orbifold S_1/Z_2, leaving only the standard model gauge group SU(3)_C x SU(2)_L x U(1)_Y unbroken in the low energy 4D theory.…

High Energy Physics - Phenomenology · Physics 2009-09-29 Lawrence J. Hall , Yasunori Nomura

We consider compactifications of type I supergravity on manifolds with SU(3) structure, in the presence of RR fluxes and magnetized D9-branes, and analyze the generalized Dirac and Laplace-Beltrami operators associated to the D9-brane…

High Energy Physics - Theory · Physics 2015-05-13 Pablo G. Camara , Fernando Marchesano

We analyze the one-loop ultraviolet sensitivity of the Higgs mass in a five-dimensional supersymmetric theory compactified on the orbifold S^1/Z_2, with superpotential localized on a fixed-point brane. Four-dimensional supersymmetry is…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Delgado , G. v. Gersdorff , P. John , M. Quiros

We compute four-derivative corrections to the AdS supergravity actions arising from the near-horizon geometry of N M5-branes wrapped on either one or two Riemann surfaces. This setup features the novel presence of both gauged isometries as…

High Energy Physics - Theory · Physics 2015-06-22 Marco Baggio , Nick Halmagyi , Daniel R. Mayerson , Daniel Robbins , Brian Wecht

We consider three-dimensional ${\mathcal N}=2$ supersymmetric field theories defined on general complex-valued backgrounds of Euclidean new minimal supergravity admitting two Killing spinors of opposite $R$-charges. We compute partition…

High Energy Physics - Theory · Physics 2024-04-17 Matteo Inglese , Dario Martelli , Antonio Pittelli