DEFORMED SUPERSYMMETRIC FIELD THEORIES

2001 ◽  
Vol 16 (04n06) ◽  
pp. 305-310 ◽  
Author(s):  
M. A. LLEDÓ
Keyword(s):  
Short Review ◽  
Field Theories ◽  
Star Products ◽  
Yang Mills ◽  
Supersymmetric Field Theories ◽  
Zumino Model

We make a short review on the Moyal–Weyl star products with emphasis in its convergence. We consider field theories on a deformed superspace and analyze the compatibility of such products with supersymmetry. We investigate some aspects of the Wess–Zumino model, super-Yang–Mills theories and analyze the correspondence of the latter with the supersymmetric Born–Infeld action.

scholarly journals NONCOMMUTATIVE U(1) SUPER-YANG–MILLS THEORY: PERTURBATIVE SELF-ENERGY CORRECTIONS

2004 ◽  
Vol 19 (25) ◽  
pp. 4231-4249 ◽  
Author(s):  
A. A. BICHL ◽  
M. ERTL ◽  
A. GERHOLD ◽  
J. M. GRIMSTRUP ◽  
L. POPP ◽  
...  
Keyword(s):  
Power Counting ◽  
The Self ◽  
Field Theories ◽  
Yang Mills ◽  
Self Energy ◽  
Supersymmetric Field Theories ◽  
Crucial Feature ◽  
The One ◽  
Infrared Divergences ◽  
Super Yang Mills Theory

The quantization of the noncommutative [Formula: see text], U(1) super-Yang–Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences, which is a crucial feature of noncommutative supersymmetric field theories.

scholarly journals Higgs Branch, Hyper-Kähler Quotient and Duality in SUSY N = 2 Yang–Mills Theories

1997 ◽  
Vol 12 (27) ◽  
pp. 4907-4931 ◽  
Author(s):  
I. Antoniadis ◽  
B. Pioline
Keyword(s):  
Moduli Space ◽  
Gauge Theories ◽  
Geometric Interpretation ◽  
Low Energy ◽  
Target Space ◽  
Field Theories ◽  
Yang Mills ◽  
Coulomb Phase ◽  
Supersymmetric Field Theories ◽  
Energy Theory

Low-energy limits of N = 2 supersymmetric field theories in the Higgs branch are described in terms of a nonlinear four-dimensional σ-model on a hyper-Kähler target space, classically obtained as a hyper-Kähler quotient of the original flat hypermultiplet space by the gauge group. We review in a pedagogical way this construction, and illustrate it in various examples, with special attention given to the singularities emerging in the low-energy theory. In particular, we thoroughly study the Higgs branch singularity of Seiberg–Witten SU(2) theory with Nf flavors, interpreted by Witten as a small instanton singularity in the moduli space of one instanton on ℝ4. By explicitly evaluating the metric, we show that this Higgs branch coincides with the Higgs branch of a U(1) N = 2 SUSY theory with the number of flavors predicted by the singularity structure of Seiberg–Witten's theory in the Coulomb phase. We find another example of Higgs phase duality, namely between the Higgs phases of U(Nc)Nf flavors and U(Nf-Nc)Nf flavors theories, by using a geometric interpretation due to Biquard et al. This duality may be relevant for understanding Seiberg's conjectured duality Nc ↔ Nf-Nc in N = 1 SUSY SU(Nc) gauge theories.

scholarly journals ON THE COHOMOLOGICAL STRUCTURE OF SUPERSYMMETRIC LAGRANGIANS WITH AND WITHOUT AUXILIARY FIELDS

2001 ◽  
Vol 16 (13) ◽  
pp. 881-889 ◽  
Author(s):  
K. ÜLKER
Keyword(s):  
Algebraic Structure ◽  
Field Theories ◽  
Yang Mills ◽  
Global Supersymmetry ◽  
Zumino Model ◽  
Lower Dimensional

The origin of non-renormalization theorems in field theories with global supersymmetry can be traced to the fact that supersymmetric actions can be viewed as the highest components of respective supermultiplets. Supersymmetric interactions in particular can therefore be represented as supersymmetry variations of lower-dimensional field polynomials. We investigate here this algebraic structure in the context of the Wess–Zumino model and N = 1 and N = 2 supersymmetric Yang–Mills theories.

scholarly journals Supermultiplets in N=1 SUSY SU(2) Yang-Mills Theory

2018 ◽  
Vol 175 ◽  
pp. 08016 ◽  
Author(s):  
Sajid Ali ◽  
Georg Bergner ◽  
Henning Gerber ◽  
Pietro Giudice ◽  
Simon Kuberski ◽  
...  
Keyword(s):  
Variational Method ◽  
Bound States ◽  
Field Theories ◽  
Quantum Level ◽  
Yang Mills ◽  
Supersymmetric Field Theories

We study N = 1 supersymmetric Yang-Mills theory (SYM) on the lattice. The non-perturbative nature of supersymmetric field theories is still largely unknown. Similarly to QCD, SYM is confining and contains strongly bound states. Applying the variational method together with different smearing techniques we extract masses of the lightest bound states such as gluino-glue, glueball and mesonic states. As these states should form supermultiplets, this study allows to check whether SYM remains supersymmetric also on the quantum level.

scholarly journals THE ULTRAVIOLET PROPERTIES OF SUPERSYMMETRIC FIELD THEORIES

1989 ◽  
Vol 04 (08) ◽  
pp. 1871-1912 ◽  
Author(s):  
P. S. HOWE ◽  
K. S. STELLE
Keyword(s):  
Perturbation Theory ◽  
Higher Dimensions ◽  
Background Field ◽  
Field Method ◽  
Field Theories ◽  
Ultraviolet Divergence ◽  
Two Dimensional ◽  
Yang Mills ◽  
Supersymmetric Field Theories ◽  
Background Field Method

We review the structure of ultraviolet divergence cancellations in supersymmetric field theories. We discuss the various nonrenormalization theorems of superspace perturbation theory, both for extended and for simple supersymmetry. These theorems and the background field method are applied to super Yang-Mills theories in four and higher dimensions, to supergravity theories and to two-dimensional supersymmetric nonlinear σ-models.

scholarly journals Chiral correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francesco Galvagno ◽  
Michelangelo Preti
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Flat Space ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills ◽  
The Matrix ◽  
Superspace Formalism ◽  
Model Approach

Abstract We consider a family of $$ \mathcal{N} $$ N = 2 superconformal field theories in four dimensions, defined as ℤq orbifolds of $$ \mathcal{N} $$ N = 4 Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $$ \mathcal{N} $$ N = 1 superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of N , exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $$ \mathcal{N} $$ N = 4 only at high orders in perturbation theory.

The perturbative β-function in the Zumino model

2001 ◽  
Vol 79 (8) ◽  
pp. 1099-1104
Author(s):  
R Clarkson ◽  
D.G.C. McKeon
Keyword(s):  
Euclidean Space ◽  
Dimensional Euclidean Space ◽  
Supersymmetric Model ◽  
Yang Mills ◽  
Β Function ◽  
Zumino Model

We consider the perturbative β-function in a supersymmetric model in four-dimensional Euclidean space formulated by Zumino. It turns out to be equal to the β-function for N = 2 supersymmetric Yang–Mills theory despite differences that exist in the two models. PACS No.: 12.60Jv

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