Holomorphic Chern-Simons theory coupled to off-shell Kodaira-Spencer gravity

Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity

Motivated by the six-dimensional formulation of Kodaira-Spencer theory for CalabiYau threefolds, we formulate a two-dimensional version and argue that this is the relevant field theory for the target space of local topological B-model with a geometry based on a Riemann surface. We show that the Ward identities of this quantum theory is equivalent to recursion relations recently proposed by Eyna...

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]

Non-Abelian, self-dual Chern-Simons vortices coupled to gravity.

The Coupling of Chern-Simons Theory to Topological Gravity

We couple Chern-Simons gauge theory to 3-dimensional topological gravity with the aim of investigating its quantum topological invariance. We derive the relevant BRST rules and Batalin-Vilkovisky action. Standard BRST transformations of the gauge field are modified by terms involving both its anti-field and the super-ghost of topological gravity. Beyond the obvious couplings to the metric and t...

Chern-Simons Supergravities with Off-Shell Local Superalgebras

A good part of the results presented in this lecture were also discussed in [2] and also presented at the January ’98 meeting in Bariloche [3] –where the detailed construction of the superalgebra can be found–, but it was at the meeting covered by these proceedings where these results were first presented. Three of the four fundamental forces of nature are consistently described by Yang-Mills (...