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The scalars of an N = 1 supersymmetric sigma-model in 4 dimensions parameterize a Kaehler manifold. The transformations of their fermionic superpartners under the isometries are often anomalous. These anomalies can be canceled by…

High Energy Physics - Theory · Physics 2011-10-11 S. Groot Nibbelink

We construct explicitly classical and quantum supercharges satisfying the standard N = 4 supersymmetry algebra in the supersymmetric sigma models describing the motion over HKT (hyper-Kaehler with torsion) manifolds. One member of the…

Mathematical Physics · Physics 2015-06-11 A. V. Smilga

In this paper we discuss quantum modified moduli spaces in supergravity. We examine a model suggested by Izawa and Yanagida and by Intriligator and Thomas that breaks global supersymmetry by a quantum deformation of the classical moduli…

High Energy Physics - Theory · Physics 2009-10-31 Matthias Klein , Jan Louis

We construct the supergravity solution in 11 dimensions describing D6-branes wrapped around a Kahler four-cycle with a B-field along the flat directions of the brane. The configuration is dual to an N=2 noncommutative gauge theory in 2+1…

High Energy Physics - Theory · Physics 2009-11-07 Jan Brugues , Joaquim Gomis , Toni Mateos , Toni Ramirez

By providing a general correspondence between Landau-Ginzburg orbifolds and non-linear sigma models, we find that the elusive mirror of a rigid manifold is actually a supermanifold. We also discuss when sigma models with super-target spaces…

High Energy Physics - Theory · Physics 2009-10-28 S. Sethi

We show that, for standard N=1 supergravity coupled to chiral matter, if the Kahler potential has no terms linear in chiral superfields then none are generated through quad. div. one--loop corrections. If however <V>=0 and susy is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Vidyut Jain

Using projective superspace techniques, we consider 4D N = 2 and 5D N = 1 gauged supersymmetric nonlinear sigma-models for which the hyper-Kahler target space is (an open domain of the zero section of) the cotangent bundle of a…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko

Let $G/K$ be an irreducible Hermitian symmetric spaces of compact type with the standard homogeneous complex structure. Then the real symplectic manifold $(T^*(G/K),\Omega)$ has the natural complex structure $J^-$. We construct all…

Differential Geometry · Mathematics 2015-06-26 I. V. Mykytyuk

We present theories of N=2 hypermultiplets in four spacetime dimensions that are invariant under rigid or local superconformal symmetries. The target spaces of theories with rigid superconformal invariance are (4n)-dimensional {\it special}…

High Energy Physics - Theory · Physics 2008-11-26 Bernard de Wit , Bas Kleijn , Stefan Vandoren

Semichiral sigma models with a four-dimensional target space do not support extended N=(4,4) supersymmetries off-shell arXiv:0903.2376, arXiv:0912.4724. We contribute towards the understanding of the non-manifest on-shell transformations in…

High Energy Physics - Theory · Physics 2015-06-05 Malin Göteman , Ulf Lindström , Martin Rocek

Continuing the investigation of CNM (chiral-nonminimal) hypermultiplet nonlinear sigma-models, we propose extensions of the concept of the c-map which relate holomorphic functions to hyper-Kahler geometries. In particular, we show that a…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Tristan Hubsch , Sergei M. Kuzenko

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We demonstrate how to realize within supergravity a novel chaotic-type inflationary scenario driven by the radial parts of a conjugate pair of Higgs superfields causing the spontaneous breaking of a grand unified gauge symmetry at a scale…

High Energy Physics - Phenomenology · Physics 2016-07-08 G. Lazarides , C. Pallis

The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups are described by hyper-Kahler (HK) nonlinear sigma models with potential terms. With the non-Abelian HK quotient by U(M) and SU(M) gauge groups, we give the…

High Energy Physics - Theory · Physics 2009-11-10 Masato Arai , Muneto Nitta , Norisuke Sakai

We show that the action functional of the nonlinear sigma model with gravitino considered in a previous article [18] is invariant under rescaled conformal transformations, super Weyl transformations and diffeomorphisms. We give a careful…

Differential Geometry · Mathematics 2018-04-11 Jürgen Jost , Enno Keßler , Jürgen Tolksdorf , Ruijun Wu , Miaomiao Zhu

We study the metrics on the families of moduli spaces arising from probing with a brane the ten and eleven dimensional supergravity solutions corresponding to renormalisation group flows of supersymmetric large n gauge theory. In comparing…

High Energy Physics - Theory · Physics 2010-02-03 Clifford V. Johnson , Kenneth J. Lovis , David C. Page

We prove an equivariant deformation result for Hamiltonian stationary Lagrangian submanifolds of a Kahler manifold, with respect to deformations of its metric and almost complex structure that are compatible with an isometric Hamiltonian…

Differential Geometry · Mathematics 2015-11-23 Renato G. Bettiol , Paolo Piccione , Bianca Santoro

We discuss the topology of the symmetry groups appearing in compactified (super-)gravity, and discuss two applications. First, we demonstrate that for 3 dimensional sigma models on a symmetric space G/H with G non-compact and H the maximal…

High Energy Physics - Theory · Physics 2009-11-10 Arjan Keurentjes

We analyze several aspects of R-symmetry and supersymmetry breaking in generalized O'Raifeartaigh models with non-canonical Kahler potential. Some conditions on the Kahler potential are derived in order for the non-supersymmetric vacua to…

High Energy Physics - Theory · Physics 2008-11-26 L. G. Aldrovandi , D. Marques

We construct N=2 supersymmetric nonlinear sigma models on the cotangent bundles over the non-compact exceptional Hermitian symmetric spaces M=E_{6(-14)}/SO(10)xU(1) and E_{7(-25)}/E_6xU(1). In order to construct them we use the projective…

High Energy Physics - Theory · Physics 2015-09-02 Masato Arai , Kurando Baba