Abstract The Chern–Simons (CS) form evolved from an obstruction in mathematics into an
important object in theoretical physics. In fact, the presence of CS terms in physics is more …

Gravitation theories selected by requiring that they have a unique anti–de Sitter vacuum with
a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under …

We investigate topological black holes in a special class of Lovelock gravity. In odd
dimensions, the action is the Chern-Simons form for the anti–de Sitter group. In even …

We explore the relation between positivity of the energy constraints in conformal field
theories and causality in their dual gravity description. Our discussion involves CFTs with …

In supersymmetric extensions of the Standard Model, the observed particles come in fermion–
boson pairs necessary for the realization of supersymmetry (SUSY). In spite of the expected …

Using a mathematical framework which provides a generalization of the de Rham complex
(well-designed for p-form gauge fields), we have studied the gauge structure and duality …

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The
motivation for these theories lies in the desire to have a gauge invariant system--with a fiber …

We study how to generate new Lie algebras G (N 0,…, N p,…, N n) from a given one G. The
(order by order) method consists in expanding its Maurer–Cartan one-forms in powers of a …

A static wormhole solution for gravity in vacuum is found for odd dimensions greater than
four. In five dimensions the gravitational theory considered is described by the Einstein …

Chern–Simons models for gravity are interesting because they provide a truly gauge-
invariant action principle in the fiber-bundle sense. So far, their main drawback has largely …