f (R) Theories of supergravities and pseudo-supergravities View Full Text


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Article Info

DATE

2012-04

AUTHORS

Haishan Liu, H. Lü, Zhao-Long Wang

ABSTRACT

We present f (R) theories of ten-dimensional supergravities, up to and including the quadratic order in fermion fields in action. They are obtained by performing the conformal scaling on the usual supergravities to the f (R) frame in which the dilaton becomes an auxiliary field and can be integrated out. The f (R) frame coincides with that of M-theory, D2-branes or NS-NS 5-branes. We study various BPS p-brane solutions and their near-horizon AdS × sphere geometries in the context of the f (R) theories. We find that new solutions emerge with global structures that do not exist in the corresponding solutions of the original supergravity description. In lower dimensions, We construct the f (R) theory of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{N} = 2$\end{document}, D = 5 gauged supergravity with a vector multiplet, and that for the four-dimensional U(1)4 gauged theory with three vector fields set equal. We find that some previously-known BPS singular “superstars” become wormholes in the f (R) theories. We also construct a large class of f (R) (gauged) pseudo-supergravities. In addition we show that the breathing mode in the Kaluza-Klein reduction of Gauss-Bonnet gravity on S1 is an auxiliary field and can be integrated out. More... »

PAGES

72

References to SciGraph publications

  • 2008-04-22. Chiral gravity in three dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-02. f(R) gravities, Killing spinor equations, “BPS” domain walls and cosmology in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-01. Killing spinors for the bosonic string and Kaluza–Klein theory with scalar potentials in THE EUROPEAN PHYSICAL JOURNAL C
  • 1978-04. Classical gravity with higher derivatives in GENERAL RELATIVITY AND GRAVITATION
  • 2010-12. f(R) Theories in LIVING REVIEWS IN RELATIVITY
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep04(2012)072

    DOI

    http://dx.doi.org/10.1007/jhep04(2012)072

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1017503629


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