# symmetry

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## symmetry

[sim´ĕ-tre]
correspondence in size, form, and arrangement of parts on opposite sides of a plane, or around an axis. adj., adj symmet´rical.
bilateral symmetry the configuration of an irregularly shaped body (such as the human body or that of higher animals) that can be divided by a longitudinal plane into halves that are mirror images of each other.
radial symmetry that in which the body parts are arranged regularly around a central axis.

## sym·me·try

(sim'ĕ-trē),
Equality or correspondence in form of parts distributed around a center or an axis, at the extremities or poles, or on the opposite sides of any body.
[G. symmetria, fr. sym- + metron, measure]

## sym·me·try

(sim'ĕ-trē)
Equality or correspondence in form of parts distributed around a center or an axis, at the extremities or poles, or on the opposite sides of any body.
[sym- + metron, measure]

## sym·me·try

(sim'ĕ-trē)
Correspondence in form of parts distributed around center or axis, at extremities, or on opposite sides of any body.
References in periodicals archive ?
According to the Noether theorem, the invariance of the action under the above continuous symmetry transformations leads to the following conserved charges :
Using the above equations, we obtain the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations as listed in (4) .
Now, from the above expansions of the supervariables, we obtain the complete set of off-shell nilpotent and absolutely anticommuting (anti-)co-BRST symmetry transformations [cf.
It is clear that both the Lagrangian densities respect both (i.e., co-BRST and anti-co-BRST) fermionic symmetry transformations on a hypersurface, where the CF-type restrictions B x C = 0 and B x [bar.C] = 0 are satisfied.
The Noether conserved ([[??].sub.(a)d] = 0) charges [Q.sub.(a)d], corresponding to the continuous and nilpotent symmetry transformations (6), are
Horizontality Condition: Off-Shell Nilpotent (Anti-)BRST Symmetry Transformations
In Section 2, we discuss the symmetry transformations associated with the specific N = 2 SUSY QM model.
Under the above symmetry transformations, the Lagrangian in (2) transforms as
The generators of all the nilpotent symmetry transformations satisfy the following algebra [50-52]:
Interchanging the role of ghost and anti-ghost fields the anti-BRST and anti-dual BRST symmetry transformations is constructed.
It can be readily checked that the Lagrangian density transforms to the total "time" derivatives under the above (anti-)co-BRST symmetry transformations, namely;
For instance, for the derivation of the BRST symmetry transformations ([s.sub.b]), we generalize the 2D ordinary fields to their counterpart antichiral superfields on a (2,1)-dimensional antichiral supersubmanifold as

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