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Motivated by recently explored examples, we undertake a systematic study of conformal invariance in one-dimensional sigma models where an isometry group has been gauged. Perhaps surprisingly, we uncover classes of sigma models which are…

High Energy Physics - Theory · Physics 2023-04-05 Delaram Mirfendereski , Joris Raeymaekers , Canberk Şanlı , Dieter Van den Bleeken

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

A range of bosonic models can be expressed as (sometimes generalized) $\sigma$-models, with equations of motion coming from a selfduality constraint. We show that in D=2, this is easily extended to supersymmetric cases, in a superspace…

High Energy Physics - Theory · Physics 2008-11-26 Louis Paulot

We consider quantum aspects of a class of generalized Gross-Neveu models, which in special cases reduce to sigma models. We show that, in the case of gauged models, an admissible gauge is $A_\mu=0$, which is a direct analogue of the…

High Energy Physics - Theory · Physics 2023-04-24 Dmitri Bykov

We revisit supersymmetric nonlinear sigma models on the target manifold $CP^{N-1}$ and $SO(N)/SO(N-2)\times U(1)$ in four dimensions. These models are formulated as gauged linear models, but it is indicated that the Wess-Zumino term should…

High Energy Physics - Theory · Physics 2020-09-16 Aya Kondo , Tomohiko Takahashi

We extend the results of hep-th/0310137 to show that a general classical action for D=2, N=2 sigma models on a non(anti)commutative superspace is not standard and contains infinite number of terms, which depend on the determinant of the…

High Energy Physics - Theory · Physics 2009-11-10 B. Chandrasekhar

The subject of this thesis is the construction and the study of four-dimensional effective theories with spontaneously broken and non-linearly realised global and local supersymmetry. In the first part, the global supersymmetric case is…

High Energy Physics - Theory · Physics 2019-01-09 Niccolò Cribiori

When supersymmetry is spontaneously broken it will be generically non-linearly realized. A method to describe the non-linear realization of supersymmetry is with constrained superfields. We discuss the basic features of this description and…

High Energy Physics - Theory · Physics 2017-04-28 Fotis Farakos

In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the…

High Energy Physics - Theory · Physics 2013-07-26 Bobby E. Gunara , Freddy P. Zen , Fiki T. Akbar , Agus Suroso , Arianto

We consider supersymmetric sigma models on the Kahler target spaces, with twisted mass. The Kahler spaces are assumed to have holomorphic Killing vectors. Introduction of a superpotential of a special type is known to be consistent with N=2…

High Energy Physics - Theory · Physics 2010-12-03 A. Losev , M. Shifman

The technique of generating new solutions to 4D gravity/matter systems by dimensional reduction to a sigma-model is extended to supersymmetric configurations of supergravity. The conditions required for the preservation of supersymmetry…

High Energy Physics - Theory · Physics 2007-05-23 H. Gustafsson , P. Haggi-Mani

We propose a large class of supergravity models in terms of a single chiral matter superfield, leading to (almost) arbitrary single-field inflationary scalar potentials similar to the F-term in rigid supersymmetry. Those scalar potentials…

High Energy Physics - Theory · Physics 2015-02-25 Sergei V. Ketov , Takahiro Terada

Four dimensional simply connected Lie groups admitting a pseudo K\"ahler metric are determined. The corresponding Lie algebras are modelized and the compatible pairs $(J,\omega)$ are parametrized up to complex isomorphism (where $J$ is a…

Differential Geometry · Mathematics 2007-05-23 Gabriela P. Ovando

A general strategy is proposed to explore the low-energy properties of two-dimensional nonlinear $\sigma$ models with $\theta$ terms. We demonstrate its application to nonlinear $\sigma$ models with the target space $\text{SU($N$)}$/H,…

Strongly Correlated Electrons · Physics 2025-06-30 Philippe Lecheminant , Yuya Tanizaki , Keisuke Totsuka

We carefully analyze the conditions for an abelian gauged linear sigma-model to exhibit nontrivial IR behavior described by a nonsingular superconformal field theory determining a superstring vacuum. This is done without reference to a…

High Energy Physics - Theory · Physics 2015-07-02 Paul S. Aspinwall , M. Ronen Plesser

In terms of the gauged nonlinear $\sigma$-models, we describe some results and implications of solving the following problem: Given a smooth symplectic manifold as target space with a quasi-free Hamiltonian group action, perform the…

High Energy Physics - Theory · Physics 2010-04-06 H. B. Gao , H. Römer

General forms of the K\"ahler and superpotenials that lead to consistent low energy broken Supersymmetry originating from $N=1$ Supergravity have been classified and used for model building since more than three decades. We point out the…

High Energy Physics - Theory · Physics 2018-11-27 Gilbert Moultaka , Michel Rausch de Traubenberg , Damien Tant

We consider 4d $\mathcal{N}=1$ supergravity theories with modular symmetry, where the modulus $\tau$ is the upper half-plane modulo $SL(2,\mathbf{Z})$ action. We focus on enhanced discrete gauge symmetry points $\tau=i, \exp(2\pi i/3)$, and…

High Energy Physics - Theory · Physics 2026-02-24 Amineh Mohseni , Cumrun Vafa

Recently, the concept of a nonlinear sigma-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) `maximal compact subgroup'. Here, we study in detail the…

High Energy Physics - Theory · Physics 2007-05-23 T. Damour , H. Nicolai

We examine the boundary behaviour of the gauged N=(2,0) supergravity in D=3 coupled to an arbitrary number of scalar supermultiplets which parametrize a Kahler manifold. In addition to the gravitational coupling constant, the model depends…

High Energy Physics - Theory · Physics 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell , Y. Tanii