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We construct superconformal gauged sigma models with extended rigid supersymmetry in three dimensions. Those with N>4 have necessarily flat targets, but the models with N \leq 4 admit non-flat targets, which are cones with appropriate…

High Energy Physics - Theory · Physics 2014-11-20 E. Bergshoeff. S. Cecotti , H. Samtleben , E. Sezgin

We consider the N=1 supersymmetric two-dimensional non-linear sigma model with boundaries and nonzero B-field. By analysing the appropriate currents we describe the full set of boundary conditions compatible with N=1 superconformal…

High Energy Physics - Theory · Physics 2010-04-05 Cecilia Albertsson , Ulf Lindstrom , Maxim Zabzine

The purpose of this work is to present some basic concepts about the non-linear sigma model in a simple and direct way. We start with showing the bosonic model and the Wess-Zumino-Witten term, making some comments about its topological…

High Energy Physics - Theory · Physics 2009-09-25 Breno C. O. Imbiriba

We give an introduction to the recently established connection between supersymmetric gauge theories and matrix models. We begin by reviewing previous material that is required in order to follow the latest developments. This includes the…

High Energy Physics - Theory · Physics 2009-11-10 Riccardo Argurio , Gabriele Ferretti , Rainer Heise

We formulate a manifestly supersymmetric gauge covariant regularization of supersymmetric chiral gauge theories. In our scheme, the effective action in the superfield background field method above one-loop is always supersymmetric and gauge…

High Energy Physics - Theory · Physics 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki

In this thesis we study some theoretical and phenomenological aspects of classical conformal symmetry in specific extensions of the SM. We consider both supersymmetric and non supersymmetric cases. We discuss the perturbative structure of…

High Energy Physics - Phenomenology · Physics 2017-04-12 Antonio Costantini

We extend our analysis of the gauging of rigid symmetries in bosonic two-dimensional sigma models with Wess-Zumino terms in the action to the case of world-sheets with defects. A structure that permits a non-anomalous coupling of such sigma…

High Energy Physics - Theory · Physics 2013-06-20 Krzysztof Gawedzki , Rafal R. Suszek , Konrad Waldorf

We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed…

High Energy Physics - Theory · Physics 2024-12-16 Pietro Benetti Genolini , Luigi Tizzano

We construct supersymmetric conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use the Wilsonian renormalization group equation method, which is one of the…

High Energy Physics - Theory · Physics 2007-10-26 Takeshi Higashi , Kiyoshi Higashijima , Etsuko Itou

Supersymmetric nonlinear sigma models are formulated as gauge theories. Auxiliary chiral superfields are introduced to impose supersymmetric constraints of F-type. Target manifolds defined by F-type constraints are always non-compact. In…

High Energy Physics - Theory · Physics 2007-05-23 Kiyoshi Higashijima , Muneto Nitta

A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N=1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to…

High Energy Physics - Theory · Physics 2017-01-11 Jean-Pierre Derendinger

We study an N=1 two-dimensional non-linear sigma model with boundaries representing, e.g., a gauge fixed open string. We describe the full set of boundary conditions compatible with N=1 superconformal symmetry. The problem is analyzed in…

High Energy Physics - Theory · Physics 2009-11-07 Cecilia Albertsson , Ulf Lindstrom , Maxim Zabzine

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

In this paper the notion of a superconformal structure on a supermanifold is introduced in an effort to study the superparticle sigma-model. There are, in particular, two main aspects of the sigma-model which are investigated. The first is…

Mathematical Physics · Physics 2015-07-29 Kowshik Bettadapura

We investigate the concept of superconformal symmetry in six dimensions, applied to the interacting theory of (2,0) tensor multiplets and self-dual strings. The action of a superconformal transformation on the superspace coordinates is…

High Energy Physics - Theory · Physics 2009-11-11 Par Arvidsson

We extend the Kazama-Suzuki construction of models with N=(2,2) world-sheet supersymmetry to cosets S/K of supergroups. Among the admissible target spaces that allow for an extension to N=2 superconformal algebras are some simple Lie…

High Energy Physics - Theory · Physics 2010-01-21 Thomas Creutzig , Peter B. Ronne , Volker Schomerus

Quantum Yangian symmetry in several sigma models with supergroup or supercoset as target is established. Starting with a two-dimensional conformal field theory that has current symmetry of a Lie superalgebra with vanishing Killing form we…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Creutzig

For the most general off-shell N = 2 supersymmetric sigma model in projective superspace, we elaborate on its formulation in terms of N = 1 chiral superfields. A universal (model-independent) expression is obtained for the holomorphic…

High Energy Physics - Theory · Physics 2015-05-30 Sergei M. Kuzenko

We review recent developments in the context of two-dimensional conformally invariant sigma-models. These quantum field theories play a prominent role in the covariant superstring quantization in flux backgrounds and in the analysis of…

High Energy Physics - Theory · Physics 2012-11-07 Vladimir Mitev , Thomas Quella , Volker Schomerus

A supercurrent superfield whose components include a conserved energy-momentum tensor and supersymmetry current as well as a (generally broken) R-symmetry current is constructed for a generic effective N=1 supersymmetric gauge theory. The…

High Energy Physics - Theory · Physics 2015-06-26 T. E. Clark , S. T. Love
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