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
Hauptverfasser: CARRION, H. L., ROJAS, M., TOPPAN, F.
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ROJAS, M.
TOPPAN, F.
description 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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title RESIDUAL SYMMETRIES IN THE PRESENCE OF AN EM BACKGROUND
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