Konishi anomaly
Encyclopedia
In theoretical physics
, the Konishi anomaly is the violation of the conservation of the Noether current associated with certain transformations in theories with N=1 supersymmetry
. More precisely, this transformation changes the phase of a chiral superfield
. It shouldn't be confused with the R-symmetry
that also depends on the fermionic superspace
variables. The divergence of the corresponding Noether current for the Konishi transformation is nonzero but can be exactly expressed using the superpotential
.
Konishi anomaly is named after its discoverer Kenichi Konishi, who presently is Ordinary Professor of Theoretical Physics by E.Fermi Physics Department of University of Pisa Italy.
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
, the Konishi anomaly is the violation of the conservation of the Noether current associated with certain transformations in theories with N=1 supersymmetry
Supersymmetry
In particle physics, supersymmetry is a symmetry that relates elementary particles of one spin to other particles that differ by half a unit of spin and are known as superpartners...
. More precisely, this transformation changes the phase of a chiral superfield
Chiral superfield
In theoretical physics, one often analyzes theories with supersymmetry in which chiral superfields play an important role. In four dimensions, the minimal N=1 supersymmetry may be written using the notion of superspace...
. It shouldn't be confused with the R-symmetry
R-symmetry
In theoretical physics, the R-symmetry is the symmetry transforming different supercharges in a theory with supersymmetry into each other. In the simplest case of the N=1 supersymmetry, such an R-symmetry is isomorphic to a global U group or its discrete subgroup...
that also depends on the fermionic superspace
Superspace
"Superspace" has had two meanings in physics. The word was first used by John Wheeler to describe the configuration space of general relativity; for example, this usage may be seen in his famous 1973 textbook Gravitation....
variables. The divergence of the corresponding Noether current for the Konishi transformation is nonzero but can be exactly expressed using the superpotential
Superpotential
Superpotential is a concept from particle physics' supersymmetry.-Example of superpotentiality:Let's look at the example of a one dimensional nonrelativistic particle with a 2D internal degree of freedom called "spin"...
.
Konishi anomaly is named after its discoverer Kenichi Konishi, who presently is Ordinary Professor of Theoretical Physics by E.Fermi Physics Department of University of Pisa Italy.