D-brane non-perturbative effects and geometric deformations

TL;DR

This paper investigates how non-perturbative effects on D-branes, such as gaugino condensates, induce geometric deformations in the underlying ten-dimensional supergravity backgrounds, altering complex and symplectic structures.

Contribution

It provides a detailed analysis of how gaugino condensates on D-branes deform the geometry, including explicit linear-order solutions for D7-branes.

Findings

Gaugino condensates modify supersymmetry conditions and geometric structures.

Explicit back-reacted backgrounds are derived for D7-branes at linear order.

Non-perturbative effects lead to significant geometric deformations in string compactifications.

Abstract

We study how non-perturbative dynamics on D-branes affects the ten-dimensional geometry. We show that a gaugino condensate changes the complex and the symplectic structures of the original manifold by deforming the supersymmetry conditions. The cases of D5, D6 and D7-branes are discussed in detail. In the latter case we find the explicit form of the resulting back-reacted background at linear order in the gaugino condensate.