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It is shown how a recent method to systematically extrapolate and resum the loop expansion for nonlinear sigma-models is related to solutions of the renormalization group equation. This relation is used to generalize the explicit equations…

Condensed Matter · Physics 2009-10-22 S. Q. Yang , D. Belitz

This thesis considers one and two dimensional supersymmetric nonlinear sigma models. First there is a discussion of the geometries of one and two dimensional sigma models, with rigid supersymmetry. For the one-dimensional case, the…

High Energy Physics - Theory · Physics 2007-05-23 W Machin

We discuss the target space pseudoduality in supersymmetric sigma models on symmetric spaces using two different methods, orthonormal coframe and component expansion. These two methods yield similar results to the classical cases with the…

High Energy Physics - Theory · Physics 2011-08-11 Mustafa Sarisaman

We present a new 4D, N = 1 supersymmetric nonlinear sigma-model using complex linear and chiral superfields that generalizes the massless limit of the QCD effective action of Gasser and Leutwyler.

High Energy Physics - Theory · Physics 2009-10-30 S. J. Gates , M. T. Grisaru , M. E. Knutt-Wehlau , M. Rocek , O. A. Soloviev

We derive and discuss, at both the classical and the quantum levels, generalized N = 2 supersymmetric quantum mechanical sigma models describing the motion over an arbitrary real or an arbitrary complex manifold with extra torsions. We…

High Energy Physics - Theory · Physics 2015-06-04 S. A. Fedoruk , E. A. Ivanov , A. V. Smilga

Starting from Seiberg's electric-magnetic duality for supersymmetric QCD, we construct dual pairs of non-supersymmetric gauge theories. This is accomplished by first taking the large N limit of supersymmetric QCD and its dual partner and…

High Energy Physics - Theory · Physics 2016-08-25 Martin Schmaltz

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

Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for $\mathcal{N}=1$ supersymmetric field theories outside the conformal windows. These theories are physically distinguished by the presence of chiral…

High Energy Physics - Theory · Physics 2011-02-15 V. P. Spiridonov , G. S. Vartanov

The experimental fact that standard model superpartners have not been observed compels one to consider an alternative implementation for supersymmetry. The basic supermultiplet proposed here consists of a photon and a charged spin 1/2 preon…

General Physics · Physics 2018-05-09 Risto Raitio

We review some facts about various T-dualities and sigma models on group manifolds, with particular emphasis on supersymmetry. We point out some of the problems in reconciling Poisson-Lie duality with the bi-hermitean geometry of N=2…

High Energy Physics - Theory · Physics 2007-05-23 Svend E. Hjelmeland , Ulf Lindstrom

We present a non-linear MSSM with non-standard Higgs sector and goldstino field. Non-linear supersymmetry for the goldstino couplings is described by the constrained chiral superfield and, as usual, the Standard Model sector is encompassed…

High Energy Physics - Phenomenology · Physics 2015-06-11 Fotis Farakos , Alex Kehagias

A study of (1,1) supersymmetric two-dimensional non-linear sigma models with boundary on special holonomy target spaces is presented. In particular, the consistency of the boundary conditions under the various symmetries is studied. Models…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , U. Lindstrom , V. Stojevic

We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of non-linear matter coupled to gravity e.g.…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Peter C. Aichelburg , Christiane Lechner

We consider N=2 supersymmetric nonlinear sigma-models in two dimensions defined in terms of the nonminimal scalar multiplet. We compute in superspace the one-loop beta function and show that the classical duality between these models and…

High Energy Physics - Theory · Physics 2015-06-26 S. Penati , A. Refolli , A. Van Proeyen , D. Zanon

We review the algebraic approach to super non-Abelian T-Duality considered in [1], focusing on symmetric and semi-symmetric coset spaces on $G/H$. We discuss a potential impediment, appearing in these models when integrating out the gauge…

High Energy Physics - Theory · Physics 2022-09-16 Daniele Bielli

We review the construction of 4D, N =2 globally supersymmetric off-shell nonlinear sigma models whose target spaces are the cotangent bundles of K\"ahler manifolds.

High Energy Physics - Theory · Physics 2017-04-26 S. James Gates, , Sergei M. Kuzenko

Recent papers have established the relationship between projective superspace and a complexified version of harmonic superspace. We extend this construction to the case of general nonlinear sigma models in both frameworks. Using an analogy…

High Energy Physics - Theory · Physics 2015-06-05 Daniel Butter

We discuss the conditions for extra supersymmetry of the N=(2,2) supersymmetric vector multiplets described in arXiv:0705.3201 [hep-th] and in arXiv:0808.1535 [hep-th]. We find (4,4) supersymmetry for the semichiral vector multiplet but not…

High Energy Physics - Theory · Physics 2011-03-22 M. Goteman , U. Lindstrom , M. Rocek , I. Ryb

We construct the {\cal N}=4 supersymmetric nonlinear sigma model in three dimensions which can be expanded in 1/N. We evaluate the effective action at leading order in the 1/N expansion and show the finiteness of the model to this order.

High Energy Physics - Theory · Physics 2009-10-31 Takeo Inami , Yorinori Saito , Masayoshi Yamamoto

A new symmetry of $(1,0)$ supersymmetric non-linear $\sigma$-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy $W$-symmetry of Howe and Papadopoulos associated with…

High Energy Physics - Theory · Physics 2019-09-18 Xenia de la Ossa , Marc-Antoine Fiset