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We analyze the $\mathcal{N}=1$ supersymmetric Wess-Zumino model dimensionally reduced to the $\mathcal{N}=2$ supersymmetric model in three Euclidean dimensions. As in the original model in four dimensions and the $\mathcal{N}=(2,2)$ model…

High Energy Physics - Theory · Physics 2018-11-21 Polina Feldmann , Andreas Wipf , Luca Zambelli

We investigate SUSY of Wess-Zumino models in non(anti-)commutative Euclidean superspaces. Non(anti-)commutative deformations break 1/2 SUSY, then non(anti-)commutative Wess-Zumino models do not have full SUSY in general. However, we can…

High Energy Physics - Theory · Physics 2016-09-06 Akifumi Sako , Toshiya Suzuki

We renormalize the Wess-Zumino model at five loops in both the minimal subtraction (MSbar) and momentum subtraction (MOM) schemes. The calculation is carried out automatically using a routine that performs the D-algebra. Generalizations of…

High Energy Physics - Theory · Physics 2022-01-19 J. A. Gracey

We present results on the B-parameters $B_K$, $B^{3/2}_7$ and $B^{3/2}_8$, at $\beta=6.0$, with the tree-level Clover action. The renormalization of the complete basis of dimension-six four-fermion operators has been performed…

High Energy Physics - Lattice · Physics 2009-10-30 L. Conti , A. Donini , V. Gimenez , G. Martinelli , M. Talevi , A. Vladikas

We study the effective action associated to the Dirac operator in two dimensional non-commutative Field Theory. Starting from the axial anomaly, we compute the determinant of the Dirac operator and we find that even in the U(1) theory, a…

High Energy Physics - Theory · Physics 2009-10-31 E. F. Moreno , F. A. Schaposnik

We present a systematic approach to supersymmetric holographic renormalization for a generic 5D $\mathcal{N}=2$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to…

High Energy Physics - Theory · Physics 2018-01-17 Ok Song An

We show how manifestly supersymmetric action for Wess-Zumino model can be constructed within the unfolded dynamics approach. The off-shell unfolded system for N = 1, D = 4 scalar supermultiplet is found. The action is presented in the form…

High Energy Physics - Theory · Physics 2014-06-10 N. G. Misuna , M. A. Vasiliev

We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group formulated in terms of a manifestly off-shell supersymmetric…

High Energy Physics - Theory · Physics 2009-11-06 Franziska Synatschke , Holger Gies , Andreas Wipf

We show how to systematically construct higher-derivative terms in effective actions in harmonic superspace despite the infinite redundancy in their description due to the infinite number of auxiliary fields. Making an assumption about the…

High Energy Physics - Theory · Physics 2011-07-19 Philip C. Argyres , Adel M. Awad , Gregory A. Braun , F. Paul Esposito

We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass…

High Energy Physics - Theory · Physics 2010-02-05 Nicola Maggiore , Olivier Piguet , Sylvain Wolf

We show that the BF theory in any space-time dimension, when quantized in a certain linear covariant gauge, possesses a vector supersymmetry. The generator of the latter together with those of the BRS transformations and of the translations…

High Energy Physics - Theory · Physics 2009-10-22 C. Lucchesi , O. Piguet , S. P. Sorella

We consider a Galilean N=2 supersymmetric theory in 2+1 dimensions with F-term couplings, obtained by null reduction of a relativistic Wess-Zumino model. We compute quantum corrections and we check that, as for the relativistic parent…

High Energy Physics - Theory · Physics 2019-07-24 Roberto Auzzi , Stefano Baiguera , Giuseppe Nardelli , Silvia Penati

We present a general formula for the Wess-Zumino action associated with the Weyl anomaly, given in a curved background for any even number of dimensions. The result is obtained by considering a finite Weyl transformation of counterterms in…

High Energy Physics - Theory · Physics 2015-06-16 Florent Baume , Boaz Keren-Zur

We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the Wess-Zumino gauge by harmonic expansions of…

High Energy Physics - Theory · Physics 2009-11-10 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

This work makes an exhaustive search for generic renormalizable R-symmetric Wess-Zumino models with up to 5 chiral fields, and checks the consistency of their vacuum solutions with predictions from the Nelson-Seiberg theorem and its…

High Energy Physics - Theory · Physics 2024-01-18 James Brister , Shihao Kou , Zhengyi Li , Longjie Ran , Zheng Sun

We consider a deformed superspace in which the coordinates \theta do not anticommute, but satisfy a Clifford algebra. We present results on the properties of N=1/2 supersymmetric theories of chiral superfields in deformed superspace, taking…

High Energy Physics - Theory · Physics 2010-12-03 Ruth Britto , Bo Feng , Soo-Jong Rey

In a recent re-analysis of the Standard Model (SM) beta-function for the effective neutrino mass operator, we found that the previous results were not entirely correct. Therefore, we consider the analogous dimension five operators in a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stefan Antusch , Manuel Drees , Joern Kersten , Manfred Lindner , Michael Ratz

We renormalize models with scalar chiral superfields with an odd superpotential to several orders in perturbation theory. These extensions of the cubic Wess-Zumino model are renormalizable in spacetime dimensions which are rational. When…

High Energy Physics - Theory · Physics 2022-11-30 J. A. Gracey

We extend the critical point self-consistency method used to solve field theories at their d-dimensional fixed point in the large N expansion to include superfields. As an application we compute the beta-function of the Wess-Zumino model…

High Energy Physics - Theory · Physics 2009-10-30 P. M. Ferreira , J. A. Gracey

We study the Slavnov-Taylor Identities (STI) breaking terms, up to the second order in perturbation theory. We investigate which requirements are needed for the first order Wess-Zumino consistency condition to hold true at the next order in…

High Energy Physics - Theory · Physics 2009-10-31 Marco Picariello , Andrea Quadri