New higherderivative invariants in N = 2 supergravity and the GaussBonnet term
Abstract
A new class of N = 2 locally supersymmetric higherderivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to , which equals the nonconformal part of the GaussBonnet term. Upon combining one such invariant with the known supersymmetric version of the square of the Weyl tensor, one obtains the supersymmetric extension of the GaussBonnet term. The construction is carried out in the context of both conformal superspace and the superconformal multiplet calculus. The new class of supersymmetric invariants resolves two open questions. The first concerns the proper identification of the 4 D supersymmetric invariants that arise from dimensional reduction of the 5 D mixed gaugegravitational ChernSimons term. The second is why the pure GaussBonnet term without supersymmetric completion has reproduced the correct result in calculations of the BPS black hole entropy in certain models.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2013
 DOI:
 10.1007/JHEP12(2013)062
 arXiv:
 arXiv:1307.6546
 Bibcode:
 2013JHEP...12..062B
 Keywords:

 Extended Supersymmetry;
 Supergravity Models;
 Black Holes in String Theory;
 Superspaces;
 High Energy Physics  Theory
 EPrint:
 45 pages