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Modeling scalar fields consistent with positive mass

Masato Nozawa1 and Tetsuya Shiromizu2

  • 1Theory Center, KEK, Tsukuba 305-0801, Japan
  • 2Department of Physics, Kyoto University, Kyoto 606-8502, Japan

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Phys. Rev. D 89, 023011 – Published 27 January, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.023011

Abstract

This paper explores the conditions under which modified gravitational theories admit positive mass. Following Witten’s spinor argument, it is argued that a single condition should be imposed upon a gauge connection in the supercovariant derivative. Under this condition, we present a simple formula for the divergence of the Nester tensor in Einstein’s gravity with a general source. Applying this prescription to the Einstein-scalar system, we find that for a certain class of the gauge connection, a special kind of noncanonical scalar-field theory admits the positivity property in addition to the ordinary canonical scalar-field system. In both cases, the scalar potential can be written in terms of a superpotential. In the noncanonical case, we obtain the most general Bogomol’nyi-Prasad-Sommerfield solutions which preserve at least half of the supersymmetry.

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Phys. Rev. D 89, 023011– Published 27 January, 2014
  • Received 14 October 2013

© 2014 American Physical Society

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