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We discuss chirality-preserving nilpotent deformations of four-dimensional N=(1,1) Euclidean harmonic superspace and their implications in N=(1,1) supersymmetric gauge and hypermultiplet theories, basically following [hep-th/0308012] and…

High Energy Physics - Theory · Physics 2015-06-26 E. A. Ivanov , B. M. Zupnik

A new four-dimensional $N=1$ superfield model is suggested. The model is induced by supertrace anomaly of matter superfields in curved superspace and leads to effective theory of supergravity chiral compensator. A renormalization structure…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , A. Yu. Petrov

We study the one-loop quantum corrections for higher-derivative superfield theories, generalizing the approach for calculating the superfield effective potential. In particular, we calculate the effective potential for two versions of…

High Energy Physics - Theory · Physics 2009-11-23 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We use the Konishi anomaly equations to construct the exact effective superpotential of the glueball superfields in various N=1 supersymmetric gauge theories. We use the superpotentials to study in detail the structure of the spaces of…

High Energy Physics - Theory · Physics 2009-09-29 Andreas Brandhuber , Harald Ita , Harald Nieder , Yaron Oz , Christian Romelsberger

In the framework of N=2 conformal supergravity in four dimensions, we introduce a nilpotent chiral superfield suitable for the description of partial supersymmetry breaking in maximally supersymmetric spacetimes. As an application, we…

High Energy Physics - Theory · Physics 2016-04-20 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model…

High Energy Physics - Theory · Physics 2015-05-20 Kai E. Wunderle , Rainer Dick

For two families of four-dimensional off-shell N = 2 supersymmetric nonlinear sigma-models constructed originally in projective superspace, we develop their formulation in terms of N = 1 chiral superfields. Specifically, these theories are:…

High Energy Physics - Theory · Physics 2015-05-14 Sergei M. Kuzenko

Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the…

High Energy Physics - Theory · Physics 2015-05-27 Yan-Gang Miao , Ying-Jie Zhao

We rewrite the N=(2,2) non-linear sigma model using auxiliary spinorial superfields defining the model on ${\cal T}\oplus^ *{\cal T}$, where ${\cal T}$ is the tangent bundle of the target space. This is motivated by possible connections to…

High Energy Physics - Theory · Physics 2015-06-26 Ulf Lindstrom

We present a variant formulation of N=1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. This formulation resembles our previous variant supersymmetric compensator mechanism in 4D. Our field…

High Energy Physics - Theory · Physics 2015-06-17 Hitoshi Nishino , Subhash Rajpoot

We calculate the component Lagrangian of a four-dimensional non-anticommutative (with a singlet deformation parameter) and fully N=2 supersymmetric gauge field theory with the simple gauge group SU(2). We find that the deformed (classical)…

High Energy Physics - Theory · Physics 2009-11-10 Sergei V. Ketov , Shin Sasaki

We construct an N=1 supersymmetric Lagrangian model for the massive superspin-1 superfield. The model is described by a dynamical spinor superfield and an auxiliary chiral scalar superfield. On-shell this model leads to a spin-1/2, spin-3/2…

High Energy Physics - Theory · Physics 2009-11-07 I. L. Buchbinder , S. James Gates , W. D. Linch , J. Phillips

A general expression for the four-point function with vanishing total R-charge of anti-chiral and chiral superfields in N=1 superconformal theories is given. It is obtained by applying the exponential of a simple universal nilpotent…

High Energy Physics - Theory · Physics 2011-05-12 Holger Knuth

We study d=2, N=(2,2) non-linear sigma-models in (2,2) superspace. By analyzing the most general constraints on a superfield, we show that through an appropriate choice of coordinates, there are no other superfields than chiral, twisted…

High Energy Physics - Theory · Physics 2009-10-30 Alexander Sevrin , Jan Troost

There exist two superspace approaches to describe N=2 supersymmetric nonlinear sigma models in four-dimensional anti-de Sitter (AdS_4) space: (i) in terms of N=1 AdS chiral superfields, as developed in arXiv:1105.3111 and arXiv:1108.5290;…

High Energy Physics - Theory · Physics 2015-10-08 Daniel Butter , Sergei M. Kuzenko , Ulf Lindstrom , Gabriele Tartaglino-Mazzucchelli

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates,

We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in arXiv:2405.05899 and arXiv:2407.16338 to sigma models whose target manifolds are symmetric or semi-symmetric spaces, including a Wess-Zumino…

High Energy Physics - Theory · Physics 2024-09-19 Daniele Bielli , Christian Ferko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

Supersymmetry breaking by the quantum deformation of a classical moduli space is considered. A simple, non-chiral, renormalizable model is presented to illustrate this mechanism. The well known, chiral, $SU(3) \times SU(2)$ model and its…

High Energy Physics - Theory · Physics 2009-10-30 Kenneth Intriligator , Scott Thomas

We study in more detail the cubic constraints for N=1 chiral superfields proposed in the earlier work Eur. Phys. J. C 81, 523 (2021), which describe low-energy goldstino-axion dynamics in global non-linearly realized supersymmetry. We…

High Energy Physics - Theory · Physics 2023-06-09 Yermek Aldabergenov , Ignatios Antoniadis , Auttakit Chatrabhuti , Hiroshi Isono

The effective action in general chiral superfield model with arbitrary k\"{a}hlerian potential $K(\bar{\Phi},\Phi)$ and chiral (holomorphic) potential $W(\Phi)$ is considered. The one-loop and two-loop contributions to k\"{a}hlerian…

High Energy Physics - Theory · Physics 2007-05-23 A. Yu. Petrov