# symmetry transformation

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## symmetry transformation

[′sim·ə‚trē ‚tranz·fər′mā·shən]
(crystallography)
(mathematics)
A rigid motion sending a geometric object onto itself; examples are rotations and, for the case of a polygon, permutations of the vertices. Also known as symmetry function.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
We also discuss the supersymmetric type global (anti-)BRST and (anti-)co-BRST symmetry transformations (and corresponding conserved charges).
Under the following continuous gauge symmetry transformations
One can readily check that under the above symmetry transformations L remains quasi-invariant [31].
In Appendices A and B, we derive the (anti-)BRST and (anti-)co-BRST symmetry transformations by exploiting the ideas of (anti)chiral superfield approach to BRST formalism which match with the ones derived in the main body of the text.
Throughout the whole body of our text, we denote the (anti-)BRST and (anti-)co-BRST fermionic ([s.sup.2.sub.(a)b] = [s.sup.2.sub.(a)d] = 0) symmetry transformations by [s.sub.(a)b] and [s.sub.(a)d], respectively.
The Lagrangian densities (1) also respect the following off-shell nilpotent ([s.sup.2.sub.(a)d] = 0) and absolutely anticommuting ([s.sub.d][s.sub.ad] + [s.sub.ad][s.sub.d] = 0) (anti-)co-BRST [i.e., (anti)dual BRST] symmetry transformations ([s.sub.(a)d]) (see, e.g., [13, ]):
The Becchi-Rouet-Stora-Tyutin (BRST) formalism is one of the systematic approaches to covariantly quantize any p-form (p = 1, 2, 3, ...) gauge theories, where the local gauge symmetry of a given theory is traded with the "quantum" gauge (i.e., (anti-)BRST) symmetry transformations [1-4].
For the derivation of a full set of (anti-)BRST symmetry transformations in the case of interacting gauge theories, a powerful method known as augmented version of superfield formalism has been developed in a set of papers [13-16].
In Section 5 the other nilpotent symmetry transformations for same system have been constructed.
which generate the symmetry transformations in (32) and (33), respectively.
It is straightforward to check the following nilpotent ([s.sup.2.sub.(a)b] = 0) (anti-)BRST symmetry transformations [S.sub.(a)b] (see, e.g., [13, 35]):
Beside the above continuous nilpotent symmetry transformations (2), we have another set of nilpotent symmetry transformations in the theory.

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