Higher Derivative Extension of 6D Chiral Gauged Supergravity

TL;DR

This paper extends 6D (1,0) gauged supergravity with higher derivative Riemann tensor squared terms, maintaining off-shell supersymmetry and analyzing the impact on vacua and compactifications.

Contribution

It introduces a supersymmetric Riemann tensor squared invariant into 6D supergravity using off-shell superconformal methods, preserving key features of the original model.

Findings

Higher derivative terms do not alter the dilaton potential's positive exponential.

Supersymmetric Minkowski x S^2 compactification remains unchanged.

The model admits non-supersymmetric vacua with de Sitter and negatively curved internal spaces.

Abstract

Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are formulated off-shell and consequently the total action is off-shell invariant without modification of the supersymmetry transformation rules. In this formulation, superconformal techniques, in which the dilaton Weyl multiplet plays a crucial role, are used. It is found that the gauging of the U(1) R-symmetry in the presence of the higher-order derivative terms does not modify the positive exponential in the dilaton potential. Moreover, the supersymmetric Minkowski(4) x S^2 compactification of the original model, without the higher-order derivatives, is remarkably left intact. It is shown that the model also admits non-supersymmetric vacuum solutions that are direct product spaces involving de Sitter spacetimes and negative curvature internal spaces.