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We study N=2 superconformal theories on Euclidean and Lorentzian four-manifolds with a view toward applications to holography and localization. The conditions for supersymmetry are equivalent to a set of differential constraints including a…

High Energy Physics - Theory · Physics 2015-06-16 Claudius Klare , Alberto Zaffaroni

The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory obtained from superstring theory is studied. The constraint of unbroken N=1 supersymmetry is imposed. A duality transformation is performed on the resulting…

High Energy Physics - Theory · Physics 2009-10-30 H. K. Jassal , A. Mukherjee , R. P. Saxena

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 consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. Supersymmetric vacua admit G-structures and we discuss the cases of G_2-, SU(3)- as well as…

High Energy Physics - Theory · Physics 2017-08-23 Klaus Behrndt , Claus Jeschek

We determine the $d+1$ dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for $d$-dimensional QFTs obtained by compactifying M-theory on a non-compact space $X$. The resulting theory,…

High Energy Physics - Theory · Physics 2023-08-02 Fabio Apruzzi , Federico Bonetti , Iñaki García Etxebarria , Saghar S. Hosseini , Sakura Schafer-Nameki

We study supersymmetry breaking by Scherk-Schwarz compactifications in type I string theory. While in the gravitational sector all mass splittings are proportional to a (large) compactification radius, supersymmetry remains unbroken for the…

High Energy Physics - Theory · Physics 2009-10-31 I. Antoniadis , E. Dudas , A. Sagnotti

We discuss discrete symmetries in several string compactification schemes. The same constraints on the light spectra as for Gepner models \cite{rosss} are found in various cases for non-$R$ symmetries. The analogous constraints for $R$…

High Energy Physics - Phenomenology · Physics 2010-11-01 Christoph M. A. Scheich

The characterization of a six- (or seven)-dimensional internal manifold with metric as having positive, zero or negative curvature is expected to be an important aspect of warped compactifications in supergravity. In this context, Douglas…

High Energy Physics - Theory · Physics 2011-05-16 Ishwaree P. Neupane

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to the scenario in which the soft terms of the low-energy fields are induced by gravity. These theories allow for a natural suppression of flavour…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. F. Giudice , R. Rattazzi

We present an explicit calculation of the spectrum of a general class of string models, corresponding to Calabi-Yau flux compactifications with h_{1,2}>h_{1,1}>1 with leading perturbative and non-perturbative corrections, in which all…

High Energy Physics - Theory · Physics 2010-02-03 Joseph P. Conlon , Fernando Quevedo , Kerim Suruliz

In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing…

High Energy Physics - Theory · Physics 2011-02-18 Paul Koerber

Various aspects of low energy M theory compactified to four dimensions are considered. If the supersymmetry parameter is parallel in the unwarped metric, then supersymmetry requires that the warp factor is trivial, the background four-form…

High Energy Physics - Theory · Physics 2007-05-23 B. S. Acharya , B. Spence

We review the subject of spontaneous supersymmetry breaking. First we consider supersymmetry breaking in a semiclassical theory. We illustrate it with several examples, demonstrating different phenomena, including metastable supersymmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenneth Intriligator , Nathan Seiberg

We study the U(1)_R-mediated supersymmetry breaking in a flux compactification of 6D chiral gauged supergravity with codimension-two branes. We consider a concrete model with manifest U(1)_R invariance for moduli stabilization and visible…

High Energy Physics - Phenomenology · Physics 2010-04-21 Ki-Young Choi , Hyun Min Lee

Compactifying N=(1,0) theories on a torus, with additional fluxes for global symmetries, we obtain N=1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with…

High Energy Physics - Theory · Physics 2018-05-09 Ibrahima Bah , Amihay Hanany , Kazunobu Maruyoshi , Shlomo S. Razamat , Yuji Tachikawa , Gabi Zafrir

Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite number of degrees of freedom, and even then, for continuous…

Disordered Systems and Neural Networks · Physics 2026-04-10 Oleg Evnin

Recently, extra dimensional SUSY GUT models have been proposed in which compactification of the extra dimension(s) leads to a breakdown of the gauge symmetry and/or supersymmetry. We examine a particular class of higher-dimensional models…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Baer , C. Balazs , A. Belyaev , R. Dermisek , A. Mafi , A. Mustafayev

Given a projective variety X and a smooth projective curve C one may consider the moduli space of maps C --> X. This space admits certain compactification whose points are called quasi-maps. In the last decade it has been discovered that in…

Algebraic Geometry · Mathematics 2007-05-23 Alexander Braverman

If supersymmetry turns out to be a symmetry of nature at low energies, the first order of business to measure the soft breaking parameters. But one will also want to understand the symmetry, and its breaking, more microscopically. Two…

High Energy Physics - Theory · Physics 2017-08-23 Michael Dine

The condition of having an $N=1$ spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 dimensions. Compactifications to 6 and 4 dimensions have been…

High Energy Physics - Theory · Physics 2010-11-01 S. L. Shatashvili , C. Vafa