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A geometrical study of supergravity defined on (1|1) complex superspace is presented. This approach is based on the introduction of generalized superprojective structures extending the notions of super Riemann geometry to a kind of super…

High Energy Physics - Theory · Physics 2009-10-30 J. P. Ader , F. Biet , Y. Noirot

A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: controlled nuclear…

High Energy Physics - Theory · Physics 2009-06-19 Ion C. Baianu , James F. Glazebrook , Ronald Brown

We determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right…

High Energy Physics - Theory · Physics 2009-10-30 Laurent Baulieu , Nobuyoshi Ohta

A survey is given of supersymmetry and supergravity and their phenomenology. Some of the topics discussed are the basic ideas of global supersymmetry, the minimal supersymmetric Standard Model (MSSM) and its phenomenology, the basic ideas…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Arnowitt , Pran Nath

This thesis firstly investigates whether D=11 supergravity can be lifted to a higher dimensional theory without introducing additional bosonic fields by interpreting the E(7(7))-symmetry of N=8 d=4 supergravity as part of a coordinate…

High Energy Physics - Theory · Physics 2009-02-10 Christian Hillmann

This article reviews the subject of supersymmetry and its breaking. The emphasis is on recent developments in metastable, dynamical supersymmetry breaking, which permit the construction of promising models of particle physics.

High Energy Physics - Theory · Physics 2015-05-20 Michael Dine , John D. Mason

We consider intersecting M-brane solutions of supergravity in eleven dimensions. Supersymmetry turns out to be a powerful tool in obtaining such solutions and their generalizations.

High Energy Physics - Theory · Physics 2009-10-30 M. de Roo

Supersymmetry is one of the most plausible and theoretically motivated frameworks for extending the Standard Model. However, any supersymmetry in Nature must be a broken symmetry. Dynamical supersymmetry breaking (DSB) is an attractive idea…

High Energy Physics - Theory · Physics 2008-11-26 Yael Shadmi , Yuri Shirman

Special geometry is most known from 4-dimensional N=2 supergravity, though it contains also quaternionic and real geometries. In this review, we first repeat the connections between the various special geometries. Then the constructions are…

High Energy Physics - Theory · Physics 2007-05-23 Antoine Van Proeyen

Selected stories about the life of A. L. Onishchik, and a review of his contribution to the classification of non-split supermanifolds, in particular, supercurves a.k.a. superstrings; his editorial and educational work. A brief overview of…

Representation Theory · Mathematics 2024-09-17 Dimitry Leites

This paper is a contribution to the symmetry analysis of the gas dynamics system in the vein of the ''podmodeli'' (submodels) program outlined by Ovsyannikov (1994). We consider the case of the special state equation, prescribing pressure…

Analysis of PDEs · Mathematics 2025-10-03 Dilara Siraeva , Irina A. Kogan

Gravity mediated supersymmetry breakdown originated from a study of gaugino condensation in a hidden sector. We review this mechanism of supergravity breakdown from the original formulation in the early eighties to its natural…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hans Peter Nilles

By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by K{\"u}hnau in 1985, we improve some recent results on strong asymptotics of Bergman polynomials outside the domain G of…

Classical Analysis and ODEs · Mathematics 2016-07-07 Bernhard Beckermann , Nikos Stylianopoulos

The GUT-based approach to physics has been attractive since it was first put forward close to thirty years ago; it has been enriched by new ideas, notably supersymmetry and strings; and there are real hints that it is on the right track,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edward Witten

Symmetry plays a fundamental role in understanding natural phenomena and mathematical structures. This work develops a comprehensive theory for studying the persistent symmetries and degree of asymmetry of finite point configurations over…

Algebraic Topology · Mathematics 2025-08-12 Jian Liu , Dong Chen , Guo-Wei Wei

It is highly plausible that the region of space-time far from an isolated gravitating body is, in some sense, asymptotically Minkowskian. However theoretical studies of the full nonlinear theory, initiated by Bondi et al. (1962), Sachs…

General Relativity and Quantum Cosmology · Physics 2009-09-30 E. Deadman , J. M. Stewart

A geometric formulation which describes extended supergravities in any dimension in presence of electric and magnetic sources is presented. In this framework the underlying duality symmetries of the theories are manifest. Particular…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , R. D'Auria , S. Ferrara

Recent developments in string and M theory rely heavily on supersymmetry suggesting that a revival of superspace techniques in ten and eleven dimensions may be advantageous. Here we discuss three topics of current interest where superspace…

High Energy Physics - Theory · Physics 2007-05-23 Bengt E. W. Nilsson

This PhD thesis aims at combining the framework of noncommutative geometry and supersymmetry. A particular class of non-commutative geometries called almost-commutative geometries can be used to describe particle theories. This thesis…

High Energy Physics - Theory · Physics 2014-09-25 Thijs van den Broek

I give a general non-technical review of supersymmetry and its modern applications in phenomenology and quantum field theories at strong coupling. Invited Talk at the conference {\sl Frontiers of Fundamental Physics, FFP16, May 23-26, 2022,…

High Energy Physics - Theory · Physics 2022-10-14 Mikhail Shifman