On the geometry of string duals with backreacting flavors

TL;DR

This paper develops a mathematical framework using generalized geometry and G-structures to analyze string duals with backreacting flavor branes, leading to new solutions and insights into their topological and supersymmetric properties.

Contribution

It introduces a formal geometric approach to smearing flavor branes in string duals, enabling the derivation of new solutions and topological constraints.

Findings

New solutions for flavored and unflavored systems

Constraints on smearing forms established

Topological central charge identified in SUSY algebra

Abstract

Making use of generalized calibrated geometry and G-structures we put the problem of finding string-duals with smeared backreacting flavor branes in a more mathematical setting. This more formal treatment of the problem allows us to easily smear branes without good coordinate representations, establish constraints on the smearing form and identify a topological central charge in the SUSY algebra. After exhibiting our methods for a series of well known examples, we apply them to the problem of flavoring a supergravity-dual to a d=2+1 dimensional N=2 super Yang-Mills-like theory. We find new solutions to both the flavored and unflavored systems. Interpretating these turns out to be difficult.