scholarly journals GAUGED HETEROTIC SIGMA-MODELS

1994 ◽  
Vol 09 (02) ◽  
pp. 161-167 ◽  
Author(s):  
C.M. HULL
Keyword(s):  
Sigma Models ◽  
Gauge Action ◽  
Yang Mills ◽  
Gauge Anomaly

The gauging of isometries in general sigma-models which include fermionic terms which represent the interaction of strings with background Yang-Mills fields is considered. Gauging is possible only if certain obstructions are absent. The quantum gauge anomaly is discussed, and then the (1, 0) supersymmetric generalization of the gauge action given.

TWO-DIMENSIONAL (4,4) SUPERSYMMETRY AND NON-ABELIAN DUALITY

1999 ◽  
Vol 14 (32) ◽  
pp. 5093-5104 ◽  
Author(s):  
F. ASSAOUI ◽  
N. BENHAMOU ◽  
T. LHALLABI
Keyword(s):  
Sigma Model ◽  
Two Dimensional ◽  
Gauge Action ◽  
Yang Mills ◽  
Gauge Anomaly ◽  
Super Yang Mills Theory

The (4,4) supersymmetric dual gauge action of the two-dimensional (4,4) super-Yang–Mills theory is constructed and the corresponding gauge anomaly is expressed. The Abelian and non-Abelian T duality of the two-dimensional (4,4) supersymmetric sigma model are discussed.

Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645040
Author(s):  
Arkady Vainshtein
Keyword(s):  
Sigma Models ◽  
Two Dimensions ◽  
Two Dimensional ◽  
World Sheet ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
Straightforward Method ◽  
The World ◽  
Original Formula

We study two-dimensional sigma models where the chiral deformation diminished the original [Formula: see text] supersymmetry to the chiral one, [Formula: see text]. Such heterotic models were discovered previously on the world sheet of non-Abelian stringy solitons supported by certain four-dimensional [Formula: see text] theories. We study geometric aspects and holomorphic properties of these models, and derive a number of exact expressions for the [Formula: see text] functions in terms of the anomalous dimensions analogous to the NSVZ [Formula: see text] function in four-dimensional Yang-Mills. Instanton calculus provides a straightforward method for the derivation.

scholarly journals Simulation of 4d $\mathcal{N}=1$ supersymmetric Yang–Mills theory with Symanzik improved gauge action and stout smearing

2010 ◽  
Vol 69 (1-2) ◽  
pp. 147-157 ◽  
Author(s):  
K. Demmouche ◽  
F. Farchioni ◽  
A. Ferling ◽  
I. Montvay ◽  
G. Münster ◽  
...  
Keyword(s):  
Gauge Action ◽  
Yang Mills

GEOMETRICAL DERIVATION OF THE FADDEEV-POPOV ANSATZ

1989 ◽  
Vol 04 (24) ◽  
pp. 2397-2407 ◽  
Author(s):  
P. ELLICOTT ◽  
G. KUNSTATTER ◽  
D.J. TOMS
Keyword(s):  
Invariant Measure ◽  
Sigma Models ◽  
Configuration Space ◽  
Effective Action ◽  
General Class ◽  
Gauge Theories ◽  
Yang Mills ◽  
Linear Sigma Models ◽  
Supersymmetric Theories

A geometrical derivation of the Faddeev-Popov measure is presented. This derivation is valid in any gauge for a general class of gauge theories, including Yang-Mills theory, gravitation and non-linear sigma models, and can easily be generalized to include supersymmetric theories. We stress the role of a non-trivial, finite contribution to the effective action from the invariant measure on the orbit over each point in the physical configuration space.

NEW N=2 MATTER COUPLINGS IN SUPERSPACE

1988 ◽  
Vol 03 (03) ◽  
pp. 703-719 ◽  
Author(s):  
S.V. KETOV
Keyword(s):  
Sigma Models ◽  
Dimensional Reduction ◽  
Two Dimensional ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Four Dimensions ◽  
Yang Mills ◽  
Quaternionic Kähler ◽  
Nonlinear Sigma Models

The generalized N=2 tensor multiplets are defined and the corresponding interacting models are constructed in N=2 superspace in four dimensions. The couplings with the N=2 Yang-Mills fields are given too. The two-dimensional nonlinear N=4 supersymmetric sigma models obtained via dimensional reduction are known to be finite. The construction gives rise to a variety of explicitly constructed quaternionic-Kähler metrics. Some two-dimensional N=4 supersymmetric sigma models with nonvanishing torsion turn out to be equivalent to the ordinary N=4 hyper-Kähler nonlinear sigma models without torsion.

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