On Exact Symmetries and Massless Vectors in Holographic Flows and other Flux Vacua

TL;DR

This paper investigates the symmetries and associated massless vectors in Type IIB flux vacua, providing a general method for analyzing fluctuations and illustrating it with holographic flows related to wrapped D5-branes.

Contribution

It introduces a universal ansatz for flux compactification fluctuations and applies it to study isometries and massless vectors in specific holographic flow solutions.

Findings

Identified massless vectors linked to isometries in flux vacua.

Developed a general fluctuation ansatz applicable to any flux compactification.

Analyzed the fate of symmetries in the Maldacena-Nunez solution.

Abstract

We analyze the isometries of Type IIB flux vacua based on the Papadopolous-Tseytlin ansatz and identify the related massless bulk vector fields. To this end we devise a general ansatz, valid in any flux compactification, for the fluctuations of the metric and p-forms that diagonalizes the coupled equations. We then illustrate the procedure in the simple case of holographic flows driven by the RR 3-form flux only. Specifically we study the fate of the isometries of the Maldacena-Nunez solution associated to wrapped D5-branes.