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In this text we combine the notions of supergeometry and supersymmetry. We construct a special class of supermanifolds whose reduced manifolds are (pseudo) Riemannian manifolds. These supermanifolds allow us to treat vector fields on the…

Differential Geometry · Mathematics 2020-01-15 Frank Klinker

We consider some simple examples of supersymmetric quantum mechanical systems and explore their possible geometric interpretation with the help of geometric aspects of real Clifford algebras. This leads to natural extensions of the…

High Energy Physics - Theory · Physics 2008-11-26 Douglas Lundholm

We study brane embeddings in M-theory plane-waves and their supersymmetry. The relation with branes in AdS backgrounds via the Penrose limit is also explored. Longitudinal planar branes are originated from AdS branes while giant gravitons…

High Energy Physics - Theory · Physics 2009-11-07 Nakwoo Kim , Jung-Tay Yee

The topological structure of Schwarzschild's space-time and its maximal analytic extension are investigated in context of brane-worlds. Using the embedding coordinates, these geometries are seen as different states of the evolution of a…

General Relativity and Quantum Cosmology · Physics 2011-11-30 Edmundo M. Monte , M. D. Maia

The effect of fluxes on open string moduli is studied by analyzing the constraints imposed by supersymmetry on D-branes in type IIB flux backgrounds. We show that generically the conditions of supersymmetry cannot be maintained when moving…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Gomis , Fernando Marchesano , David Mateos

Supersymmetry might be broken, in the real world, by anomalies that affect composite operators, while leaving the action supersymmetric. New constraint equations that govern the composite operators and their anomalies are examined. It is…

High Energy Physics - Theory · Physics 2007-05-23 John Dixon

We discuss non-linear instantons in supersymmetric field theories on curved spaces arising from D-branes. Focusing on D3-branes and four-dimensional field theories, we derive the supersymmetry conditions and show the intimate relation…

High Energy Physics - Theory · Physics 2017-11-22 Ruben Minasian , Daniël Prins , Hagen Triendl

Warped supergravities with lower-dimensional branes provide consistent field-theoretic framework for discussion of important aspects of modern string theory physics. In particular, it is possible to study reliably supersymmetry breakdown…

High Energy Physics - Theory · Physics 2007-05-23 Zygmunt Lalak , Radoslaw Matyszkiewicz

Special relativity is generalized to extra dimensions and quantized energy levels of particles are obtained. By calculating the probability of particles' motion in extra dimensions at high temperature of the early universe, it is proposed…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Feng Luo , Hongya Liu

The recent discovery of an explicit dynamical description of p-branes makes it possible to investigate the existence of intersection of such objects. We generalize the solutions depending on the overall transverse space coordinates and time…

High Energy Physics - Theory · Physics 2010-11-10 Masato Minamitsuji , Nobuyoshi Ohta , Kunihito Uzawa

We discuss the relation between supersymmetric gauge theory of branes and supergravity; as it was discovered in D-brane physics, and as it appears in Matrix theory, with emphasis on motion in curved backgrounds. We argue that gauged sigma…

High Energy Physics - Theory · Physics 2009-10-30 Michael R. Douglas

Using N=2 off-shell supergravity in five dimensions, we supersymmetrize the brane world scenario of Randall and Sundrum. We extend their construction to include supersymmetric matter at the fixpoints.

High Energy Physics - Theory · Physics 2009-10-31 Max Zucker

Maximal supergravity solutions are revisited and classified, with particular emphasis on objects of co-dimension at most two. This class of solutions includes branes whose tension scales with g_s^{-\sigma} for \sigma>2. We present a group…

High Energy Physics - Theory · Physics 2015-05-30 Axel Kleinschmidt

$\mathcal{N}=4$ supersymmetric Yang-Mills theories with algebra $\mathfrak{so}(4N)$ and appropriate choices of global structure can have non-invertible symmetries. We identify the branes holographically dual to the non-invertible…

High Energy Physics - Theory · Physics 2022-11-23 Iñaki García Etxebarria

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background…

High Energy Physics - Theory · Physics 2017-10-25 Thomas T. Dumitrescu

We study the supersymmetry projection rules on exotic branes in type II string theories and M-theory. They justify the validity of the exotic duality between standard branes and exotic branes of codimension two. By virtue of the…

High Energy Physics - Theory · Physics 2016-06-02 Tetsuji Kimura

It is shown that the consideration of the braneworld consistency conditions within the framework of bulk modified gravities allows for the existence of thick branes in the five- dimensional case with compact extra dimension. In studing the…

High Energy Physics - Theory · Physics 2015-07-28 G. P. de Brito , J. M. Hoff da Silva , P. Michel L. T. da Silva , A. de Souza Dutra

We propose that higher-dimensional extended objects (p-branes) are created by super-Planckian scattering processes in theories with TeV scale gravity. As an example, we compute the cross section for p-brane creation in a (n+4)-dimensional…

High Energy Physics - Theory · Physics 2009-09-28 Eun-Joo Ahn , Marco Cavaglia , Angela V. Olinto

The foundations of matrix geometry are discussed, which provides the basis for recent progress on the effective geometry and gravity in Yang-Mills matrix models. Basic examples lead to a notion of embedded noncommutative spaces (branes)…

High Energy Physics - Theory · Physics 2015-03-18 Harold Steinacker

The supersymmetric ``shining'' of free massive chiral superfields in extra dimensions from a distant source brane can trigger exponentially small supersymmetry breaking on our brane of order e^{-2 pi R}, where R is the radius of the extra…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nima Arkani-Hamed , Lawrence Hall , David Smith , Neal Weiner