Supersymmetric gauge-invariant interaction revisited

1984 ◽  
Vol 81 (2) ◽  
pp. 440-446
Author(s):  
A. W. Smith ◽  
J. B. Neto
Keyword(s):  
Gauge Invariant ◽  
Supersymmetric Gauge ◽  
Invariant Interaction

scholarly journals SUPER-τ3QED AND THE DIMENSIONAL REDUCTION OF N=1SUPER-QED2+2

1996 ◽  
Vol 11 (08) ◽  
pp. 1367-1389 ◽  
Author(s):  
M.A. DE ANDRADE ◽  
O.M. DEL CIMA
Keyword(s):  
Vector Field ◽  
Imaginary Part ◽  
Gauge Invariance ◽  
Dimensional Reduction ◽  
Complex Vector ◽  
Gauge Invariant ◽  
Invariant Action ◽  
Supersymmetric Version ◽  
Supersymmetric Gauge ◽  
Weyl Symmetry

In this work the supersymmetric gauge-invariant action for the massive Abelian N=1 super-QED 2+2 in the Atiyah-Ward space-time (D=2+2) is formulated. The questions concerning the scheme of the gauge invariance in D=2+2 by means of gauging the massive N=1 super-QED 2+2 are investigated. We study how to ensure the gauge invariance at the expense of the introduction of a complex vector superfield. We discuss the Wess-Zumino gauge and thereupon we conclude that, in this gauge, only the imaginary part of the complex vector field, Bμ, gauges a U(1) symmetry. whereas its real part gauges a Weyl symmetry. We build up the gauge-invariant massive term by introducing a pair of chiral and antichiral superfields with opposite U(1) charges. We carry out a dimensional reduction à la Scherk of the massive N=1 super-QED 2+2 action from D=2+2 to D=1+2. Truncations are needed in order to suppress nonphysical modes, and we end up with a parity-preserving N=1 super-QED 1+2 (rather than N=2) in D=1+2. Finally, we show that the N=1 super-QED 1+2 we have obtained is the supersymmetric version of τ3 QED .

GLOBAL ANOMALY MATCHING IN SUPERSYMMETRIC GAUGE THEORIES

1999 ◽  
Vol 14 (30) ◽  
pp. 2073-2082
Author(s):  
SIYE WU
Keyword(s):  
Gauge Theories ◽  
Matching Condition ◽  
Low Energy ◽  
Supersymmetric Gauge Theories ◽  
Gauge Invariant ◽  
Supersymmetric Gauge ◽  
Global Anomaly

We study the global anomaly matching condition in N=1 supersymmetric gauge theories. The condition provides an extra test, apart from the 't Hooft anomaly matching condition, to the validity of low energy descriptions in terms of gauge invariant composites or electric–magnetic duality.

scholarly journals CONFORMAL INVARIANT INTERACTION OF A SCALAR FIELD WITH HIGHER SPIN FIELD IN AdSD

2010 ◽  
Vol 25 (16) ◽  
pp. 1333-1348 ◽  
Author(s):  
RUBEN MANVELYAN ◽  
KARAPET MKRTCHYAN
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Explicit Form ◽  
Gauge Fields ◽  
Conformal Invariant ◽  
Gauge Invariant ◽  
Exact Agreement ◽  
Higher Spin ◽  
Spin Fields ◽  
Invariant Interaction

The explicit form of linearized gauge invariant interactions of scalar and general higher even spin fields in the AdSD space is obtained. In the case of general spin-ℓ a generalized "Weyl" transformation is proposed and the corresponding "Weyl" invariant action is constructed. In both cases the invariant actions of the interacting higher even spin gauge field and the scalar field include the whole tower of invariant actions for couplings of the same scalar with all gauge fields of smaller even spin. For the particular value of ℓ = 4, all results are in exact agreement with Ref. 1.

Matter interactions of a three-dimensional gauge theory

1992 ◽  
Vol 70 (6) ◽  
pp. 385-387
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Three Dimensional ◽  
Lorentz Symmetry ◽  
Three Dimensions ◽  
Gauge Invariant ◽  
Spontaneous Breakdown ◽  
Graviton Propagator ◽  
Invariant Interaction ◽  
Matter Fields

A recently introduced three-dimensional gauge theory involves a tensor field Tμν. In this paper we show how this field can interact with matter fields in a gauge-invariant fashion. The possibility of spontaneous breakdown of Lorentz symmetry is considered. An additional gauge-invariant interaction for Tμν is introduced. The field Tμν interacts with gravity; we compute the η function associated with the graviton propagator and show that it is proportional to the bilinear term in the Chem–Simons action for gravity in three dimensions.

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