On matrix geometry and effective actions

From effective actions to the background geometry

We discuss how the background geometry can be traced from the one-loop effective actions in nonsupersymmetric theories in the external abelian fields. It is shown that after the proper identification of the Schwinger parameter the Heisenberg-Euler abelian effective action involves the integration over the AdS3, S3 and T ∗S3 geometries, depending on the type of the external field. The interpreta...

On Geometry and Matrix Models

We point out two extensions of the relation between matrix models, topological strings and N = 1 supersymmetric gauge theories. First, we note that by considering double scaling limits of unitary matrix models one can obtain large N duals of the local CalabiYau geometries that engineer N = 2 gauge theories. In particular, a double scaling limit of the Gross-Witten one-plaquette lattice model gi...

Editorial: Brain Extracellular Space: Geometry, Matrix and Physiological Importance

On String Field Theory and Effective Actions

A truncation of string field theory is compared with the duality invariant effective action of D = 4, N = 4 heterotic strings to cubic order. The three string vertex must satisfy a set of compatibility conditions. Any cyclic three string vertex is compatible with the D = 4, N = 4 effective field theory. The effective actions may be useful in understanding the non–polynomial structure and the un...

Applications of Superspace Techniques to Effective Actions, Complex Geometry, and T Duality in String Theory

Title of dissertation: APPLICATIONS OF SUPERSPACE TECHNIQUES TO EFFECTIVE ACTIONS, COMPLEX GEOMETRY, AND T DUALITY IN STRING THEORY Willie Carl Merrell II Doctor of Philosophy, 2007 Dissertation directed by: Professor S. James Gates, Jr. Department of Physics We describe the use of superspace techniques to discuss some of the issues in string theory. First we use superspace techniques to derive...