RESIDUAL SYMMETRIES IN THE PRESENCE OF AN EM BACKGROUND
The symmetry algebra of a QFT in the presence of an external EM background (named "residual symmetry") is investigated within a Lie-algebraic, model-independent scheme. Some results previously encountered in the literature are extended here. In particular we compute the symmetry algebra fo...
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Veröffentlicht in: | Modern physics letters A 2003-03, Vol.18 (9), p.629-641 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The symmetry algebra of a QFT in the presence of an external EM
background (named "residual symmetry") is investigated within a
Lie-algebraic, model-independent scheme. Some results previously
encountered in the literature are extended here. In particular we
compute the symmetry algebra for a constant EM background in D = 3 and
D = 4 dimensions. In D = 3 dimensions the residual
symmetry algebra, for generic values of the constant EM background, is isomorphic to
$u(1)\oplus {\mathcal P}_c(2)$
,
with
${\mathcal P}_c(2)$
the centrally extended two-dimensional Poincaré algebra.
In D = 4 dimension the generic residual symmetry algebra is
given by a seven-dimensional solvable Lie algebra which is
explicitly computed. Residual symmetry algebras are also computed for
specific non-constant EM backgrounds and in the supersymmetric case
for a constant EM background. The supersymmetry generators are given
by the "square roots" of the deformed translations. |
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ISSN: | 0217-7323 1793-6632 |
DOI: | 10.1142/S0217732303009605 |