Derive Lovelock Gravity from String Theory in Cosmological Background

Abstract

It was proved more than three decades ago, that the first order ${\alpha }^{\prime }$ correction of string effective theory could be written as the Gauss-Bonnet term, which is the quadratic term of Lovelock gravity. In cosmological background, with an appropriate field redefinition, we reorganize the infinite ${\alpha }^{\prime }$ corrections of string effective action into a finite term expression for any specific dimension. This finite term expression matches Lovelock gravity exactly and thus fix the couplings of Lovelock gravity by the coefficients of string effective action. This result thus provides a strong support to string theory.

arXiv commentV2: 4 pages, added discussions about quasi-topological gravity, version to appear in JHEP

References in corpus (15)

• Black Holes in Quasi-topological Gravity
• Symmetries of higher-order string gravity actions
• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• Twisted Black p-Brane Solutions in String Theory
• Geometric Inflation
• Towards geometric inflation: the cubic case
• On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes
• Non-perturbative de Sitter vacua via ${\alpha }^{\prime }$ corrections
• Duality Invariance and Higher Derivatives
• T-duality Constraints on Higher Derivatives Revisited
• Non-singular string cosmology via ${\alpha }^{\prime }$ corrections
• Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities
• Green-Schwarz Mechanism for String Dualities
• Are nonperturbative AdS vacua possible in bosonic string theory?
• Thermodynamics of Quasi-Topological Cosmology

Cited by in corpus (6)

• Topology of black hole thermodynamics in Lovelock gravity
• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Resolving naked singularities in ${\alpha }^{\prime }$-corrected string theory
• 2D Black Holes, Bianchi I Cosmologies, and ${\alpha }^{\prime }$
• Black hole solutions in double field theory
• Holographic $SO(2,d)$ anomaly