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We report general properties of N-fold supersymmetry in one-dimensional quantum mechanics. N-fold supersymmetry is characterized by supercharges which are N-th polynomials of momentum. Relations between the anti-commutator of the…

Quantum Physics · Physics 2009-11-07 Hideaki Aoyama , Masatoshi Sato , Toshiaki Tanaka

We discuss the reduction of N=2 supergravity to N=1, by a consistent truncation of the second gravitino multiplet.

High Energy Physics - Theory · Physics 2015-06-26 Laura Andrianopoli

This text is a review of aspects of supergravity theories that are relevant in superstring cosmology. In particular, it considers the possibilities and restrictions for `uplifting terms', i.e. methods to produce de Sitter vacua. We…

High Energy Physics - Theory · Physics 2008-11-26 Antoine Van Proeyen

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

In this paper we make further refinements to the duality proposed between N=1 SQCD and certain string (supergravity plus branes) backgrounds, working in the regime of comparable large number of colors and flavors. Using the string theory…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casero , Carlos Nunez , Angel Paredes

We use maximal gauged supergravity in four dimensions to construct the gravity dual of a class of supersymmetric conformal interfaces in the theory on the world-volume of multiple M2-branes. We study three classes of examples in which the…

High Energy Physics - Theory · Physics 2015-06-17 Nikolay Bobev , Krzysztof Pilch , Nicholas P. Warner

The connection between Supergravity and the low-energy world is analyzed. In particular, the soft Supersymmetry-breaking terms arising in Supergravity, the $\mu$ problem and various solutions proposed to solve it are reviewed. The soft…

High Energy Physics - Theory · Physics 2007-05-23 C. Muñoz

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

We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M,g,F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form,…

High Energy Physics - Theory · Physics 2015-06-03 José Figueroa-O'Farrill

Completing earlier work on three dimensional (3D) N=1 supergravity with curvature-squared terms, we construct the general supergravity extension of cosmological massive gravity theories. We expand about supersymmetric anti-de Sitter vacua,…

High Energy Physics - Theory · Physics 2010-12-17 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Ergin Sezgin , Paul K. Townsend

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d…

High Energy Physics - Theory · Physics 2010-11-19 John H. Schwarz

We analyze $N=2,1,0$ vacua of type IIB string theory on $K3\times T^2/Z_2$ in presence of three-form fluxes from a four dimensional supergravity viewpoint. The quaternionic geometry of the $K3$ moduli space together with the special…

High Energy Physics - Theory · Physics 2014-11-18 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is…

High Energy Physics - Theory · Physics 2014-11-18 Paolo Aschieri , Sergio Ferrara , Bruno Zumino

We discuss the canonical treatment and quantization of matter coupled supergravity in three dimensions, with special emphasis on $N=2$ supergravity. We then analyze the quantum constraint algebra; certain operator ordering ambiguities are…

General Relativity and Quantum Cosmology · Physics 2009-10-22 H. -J. Matschull , H. Nicolai

We construct maximal supergravity in four dimensions with local scaling symmetry as deformation of the original Cremmer-Julia theory. The different theories which include the standard gaugings are parametrized by an embedding tensor…

High Energy Physics - Theory · Physics 2015-05-27 Arnaud Le Diffon , Henning Samtleben , Mario Trigiante

Double field theory and exceptional field theory are formulations of supergravity that make certain dualities manifest symmetries of the action. To achieve this, the geometry is extended by including dual coordinates corresponding to…

High Energy Physics - Theory · Physics 2016-10-12 Felix J. Rudolph

Supergravity, a locally supersymmetric gauge theory, may provide to describe new physics beyond the Standard Model (BSM). In this sense, cosmological applications of supergravity can be the arena for probing outcomes of supergravity. It is…

High Energy Physics - Theory · Physics 2022-06-29 Hun Jang

We express the action of six-dimensional supergravity in terms of four-dimensional N=1 superfields, focusing on the moduli dependence of the action. The gauge invariance of the action in the tensor-vector sector is realized in a quite…

High Energy Physics - Theory · Physics 2015-08-07 Hiroyuki Abe , Yutaka Sakamura , Yusuke Yamada

We present mechanisms for generating conical singularities both in three and four-dimensions in the systems with copies of scalar or chiral multiplets coupled to $N=2$ or $N=1$ supergravity. Our mechanisms are useful for supersymmetry…

High Energy Physics - Theory · Physics 2009-10-28 Hitoshi Nishino

Supersymmetry applied to quantum mechanics has given new insights in various topics of theoretical physics like analytically solvable potentials, WKB approximation or KdV solitons. Duality plays a central role in many supersymmetric…

Quantum Physics · Physics 2009-11-06 M. Capdequi-Peyranere