English

NS5-branes in IIA supergravity and gravitational anomalies

High Energy Physics - Theory 2016-09-06 v1

Abstract

We construct a gravitational-anomaly-free effective action for the coupled system of IIA D=10 dynamical supergravity interacting with an NS5-brane. The NS5-brane is considered as elementary in that the associated current is a delta-function supported on its worldvolume. Our approach is based on a Chern-kernel which encodes the singularities of the three-form field strength near the brane in an SO(4)-invariant way and provides a solution for its Bianchi identity in terms of a two-form potential. A dimensional reduction of the recently constructed anomaly-free effective action for an elementary M5-brane in D=11 is seen to reproduce our ten-dimensional action. The Chern-kernel approach provides in particular a concrete realization of the anomaly cancellation mechanism envisaged by Witten.

Keywords

Cite

@article{arxiv.hep-th/0203238,
  title  = {NS5-branes in IIA supergravity and gravitational anomalies},
  author = {Marco Cariglia and Kurt Lechner},
  journal= {arXiv preprint arXiv:hep-th/0203238},
  year   = {2016}
}

Comments

LaTex, 31 pages, no figures