Does a Kalb-Ramond Field Make Spacetime Optically Active ?

Physics

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The problem of coupling the Maxwell field to a spacetime with torsion, consistent with electromagnetic U(1) gauge invariance, has been addressed recently 1,2, through the introduction of an antisymmetric tensor gauge field (the Kalb-Ramond (KR) field). The KR field turns out to be the source of torsion, and its coupling to the Maxwell field is dictated by consistency requirements in an underlying supergravity (supertring) theory in whose spectrum such a field invariably appears. In this proposal, the coupling is characterised by Newton's gravitational constant which accounts for its small strength and is apparently inconspicuous: Sint = (1)/(2)√ G ∫ {d4 xφ F{μ ν } } * F^{μ ν }, where ɸ is the axion Hodge-dual to the KR field. However, in actual fact, this coupling is large enough to be not without significance, vis-a-vis prospective observable consequences. This is the subject of this contribution. It is based on a recent paper being considered for publication 3 ...

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