Higher-derivative couplings and torsional Riemann curvature

Generalized holographic superconductors with higher derivative couplings

We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe limit, as well as with backreaction. There are multiple tuning parameters in the theory, and with two non-zero parameters, we show that the theory has a rich...

Landsberg Curvature, S-curvature and Riemann Curvature

The Riemann-Lovelock Curvature Tensor

In order to study the properties of Lovelock gravity theories in low dimensions, we define the kth-order Riemann-Lovelock tensor as a certain quantity having a total 4k-indices, which is kth order in the Riemann curvature tensor and shares its basic algebraic and differential properties. We show that the kth order Riemann-Lovelock tensor is determined by its traces in dimensions 2k ≤ D < 4k. In...

Riemann Curvature in Collective Spaces

For a generally curved collective space an additional interaction with the metric is investigated, by introducing the collective curvature scalar. The coupling strength is determined by a fit on AME2003 ground state masses. An extended finite-range droplet model including curvature is presented. Significant improvements for light nuclei and nuclei in the trans-fermium region are interpreted as ...

Inflation with High Derivative Couplings

We study a class of generalized inflation models in which the inflaton is coupled to the Ricci scalar by a general f(φ,R) term. The scalar power spectrum, the spectral index, the running of the spectral index, the tensor mode spectrum and a new consistency relation of the model are calculated. We discuss in detail the issues of how to diagonize the coupled perturbation equations, how to deal wi...