Consistent equations for massive spin-\(2\) field coupled to gravity in string theory
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DOI10.1016/S0370-2693(99)01143-0zbMATH Open0993.83039arXivhep-th/9908028OpenAlexW3101828993WikidataQ126202958 ScholiaQ126202958MaRDI QIDQ5934683
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Publication date: 7 May 2001
Published in: (Search for Journal in Brave)
Abstract: We investigate the problem of derivation of consistent equations of motion for the massive spin 2 field interacting with gravity within both field theory and string theory. In field theory we derive the most general classical action with non-minimal couplings in arbitrary spacetime dimension, find the most general gravitational background on which this action describes a consistent theory and generalize the analysis for the coupling with background scalar dilaton field. We show also that massive spin 2 field allows in principle consistent description in arbitrary background if one builds its action in the form of an infinite series in the inverse mass square. Using sigma-model description of string theory in background fields we obtain in the lowest order in the explicit form of effective equations of motion for the massive spin 2 field interacting with gravity from the requirement of quantum Weyl invariance and demonstrate that they coincide with the general form of consistent equations derived in field theory.
Full work available at URL: https://arxiv.org/abs/hep-th/9908028
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