D2Chern-Simons gravity

Chern-simons Gravity from 3+1-dimensional Gravity

In the context of a Poincaré gauge theoretical formulation, pure gravity in 3 + 1dimensions is dimensionally reduced to gravity in 2 + 1-dimensions with or without cosmological constant Λ. The dimensional reductions are consistent with the gauge symmetries, mapping ISO(3, 1) gauge transformations into ISO(2, 1) ones. One of the reductions leads to Chern-Simons-Witten gravity. The solutions of 2...

W Gravity From Chern–Simons Theory

Starting with three dimensional Chern–Simons theory with gauge group Sl(N, IR), we derive an action Scov invariant under both left and right WN transformations. We give an interpretation of Scov in terms of anomalies, and discuss its relation with Toda theory. e-mail: [email protected] e-mail: [email protected]

Chern–Simons Gravity and Holographic Anomalies

We present a holographic treatment of Chern-Simons (CS) gravity theories in odd dimensions. We construct the associated holographic stress tensor and calculate the Weyl anomalies of the dual CFT. April 2004 ∗ Partially supported by GIF, the German-Israeli Foundation for Scientific Research, Minerva Foundation, the Center for Basic Interactions of the Israeli Academy of Sciences and the Einstein...

A Covariant Formalism for Chern–simons Gravity

Chern–Simons type Lagrangians in d = 3 dimensions are analyzed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully covariant and global Lagrangian for Chern–Simons gravity: the price for establishing globality is hidden in a bimetric (or biconnection) structure. Such a formulation allows to calculate from a global and simpler viewpo...

Flat rotation curves in Chern-Simons modified gravity