Einstein-Hilbert action on the brane for the bulk graviton

TL;DR

This paper derives new induced kinetic couplings, including Einstein-Hilbert terms, on Dp-branes for the bosonic string, highlighting their derivative structure and tachyon dependencies.

Contribution

It introduces quadratic derivative couplings, notably the induced Einstein-Hilbert term, on Dp-branes, expanding understanding of brane-bulk interactions in string theory.

Findings

Derived the induced Einstein-Hilbert term on Dp-branes.

Identified quadratic derivative couplings involving the second fundamental tensor.

Commented on the tachyon dependence of brane-localized couplings.

Abstract

We find new closed string couplings on Dp-branes for the bosonic string. These couplings are quadratic in derivatives and therefore take the form of induced kinetic terms on the brane. For the graviton in particular we find the induced Einstein-Hilbert term as well as terms quadratic in the second fundamental tensor. We comment on tachyon dependences of these brane-localized couplings.