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After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to…

High Energy Physics - Theory · Physics 2007-05-23 Ulf Lindstrom

We study static, spherically symmetric, and purely magnetic solutions of the N=4 gauged supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and…

High Energy Physics - Theory · Physics 2010-11-19 Ali H. Chamseddine , Mikhail S. Volkov

Extending previous work on generalised geometry, we explicitly construct an E7-valued vielbein in eleven dimensions that encompasses the scalar bosonic degrees of freedom of D=11 supergravity, by identifying new "generalised vielbeine" in…

High Energy Physics - Theory · Physics 2015-06-16 Hadi Godazgar , Mahdi Godazgar , Hermann Nicolai

In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to $n$ vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor…

High Energy Physics - Theory · Physics 2017-05-03 Prasanta K. Tripathy

Any non-split complex supermanifold is a deformation of a split supermanifold. These deformations are classified by group orbits in a non-abelian cohomology. For the case of a split supermanifold with no global nilpotent even vector fields,…

Complex Variables · Mathematics 2016-01-28 Matthias Kalus

We show that, when compactified on a circle, N=(2,0),d=6 supergravity coupled to 1 tensor multiplet and nV vector multiplets is dual to N=(2,0),d=6 supergravity coupled to just nT=nV+1 tensor multiplets and no vector multiplets. Both…

High Energy Physics - Theory · Physics 2017-02-01 Pablo A. Cano , Tomas Ortin , Camilla Santoli

We discuss the construction of non-Abelian black holes and globally regular monopole solutions to N=2, d=4 EYM theories. Special emphasis is put on how the attractor mechanism works for the non-Abelian black holes.

High Energy Physics - Theory · Physics 2015-05-13 Mechthild Huebscher , Patrick Meessen , Tomas Ortin , Silvia Vaula

We present a projective superspace formulation for matter-coupled simple supergravity in five dimensions. Our starting point is the superspace realization for the minimal supergravity multiplet proposed by Howe in 1981. We introduce various…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We give an off-shell formulation of the N=2 supersymmetric new nonlinear vector-tensor multiplet. Interactions arise in this model as a consequence of gauging the central charge of the supersymmetry algebra, which in contrast to previous…

High Energy Physics - Theory · Physics 2014-11-18 Ulrich Theis

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro

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 discuss supersymmetry breaking induced by simultaneous presence of a Wilson-line type superpotential and boundary-localized Fayet-Iliopoulos terms in a four dimensional theory based on deconstruction of five-dimensional abelian gauge…

High Energy Physics - Theory · Physics 2009-11-10 Emilian Dudas , Adam Falkowski , Stefan Pokorski

We use solution-generating techniques to construct interpolating geometries between general asymptotically flat, charged, rotating, non-extremal black holes in four and five dimensions and their subtracted geometries. In the…

High Energy Physics - Theory · Physics 2015-06-15 Mirjam Cvetič , Monica Guica , Zain H. Saleem

We present non-Abelian gaugings of supermembrane for general isometries for compactifications from eleven-dimensions, starting with Abelian case as a guide. We introduce a super Killing vector in eleven-dimensional superspace for a…

High Energy Physics - Theory · Physics 2015-06-26 Hitoshi Nishino , Subhash Rajpoot

Among the usual constraints of (1,1) supergravity in d=2 the condition of vanishing bosonic torsion is dropped. Using the inverse supervierbein and the superconnection considerably simplifies the formidable computational problems. It allows…

High Energy Physics - Theory · Physics 2009-10-30 M. F. Ertl , M. O. Katanaev , W. Kummer

A new tool for the model theory of differentially closed fields and of compact complex manifolds is here developed. In such settings, it is shown that a type internal to the field of constants (resp. to the projective line) admits a maximal…

Algebraic Geometry · Mathematics 2023-10-13 Rémi Jaoui , Rahim Moosa

Using a recently developed formulation of double field theory in superspace, the graviton, $B$-field, gravitini, dilatini, and Ramond-Ramond bispinor are encoded in a single generalized supervielbein. Duality transformations are encoded as…

High Energy Physics - Theory · Physics 2024-09-23 Daniel Butter , Falk Hassler , Christopher N. Pope , Haoyu Zhang

Special generic maps are higher dimensional versions of Morse functions with exactly two singular points, characterizing spheres topologically except 4-dimensional cases and 4-dimensional standard spheres. The class of such maps also…

Algebraic Topology · Mathematics 2022-07-15 Naoki Kitazawa

We find broad classes of solutions to the field equations for d-dimensional gravity coupled to an antisymmetric tensor of arbitrary rank and a scalar field with non-vanishing potential. Our construction generates these configurations from…

High Energy Physics - Theory · Physics 2009-11-10 C. P. Burgess , C. Nunez , F. Quevedo , G. Tasinato , I. Zavala

The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonholomorphic corrections integrated with the full N=2 superspace measure. By adding a hypermultiplet in the adjoint representation we study the…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , M. Rocek
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