Gauge/Gravity Theory with Running Dilaton and Running Axion
Abstract
We present a new gauge/gravity duality construction of the KlebanovStrassler throat which takes corrections to the anomalous mass dimension proposed in [1] into account on the gauge theory side and both the dilaton and the axion run on the gravity side. The corresponding supergravity solutions are found using equations for type IIB flows with N=1 supersymmetry obtained in [2]. We find that magnetic couplings of the axion to D7branes filling 4d spacetime and wrapping 4cycles at locations of duality transitions and invisible Dirac 8branes whose worldvolume emanates from the worldvolume of the D7branes are the sources for the runnings of the dilaton and the axion. Our construction provides the first explicit example of a gauge/gravity duality mapping with a running dilaton or a running axion which is an important component towards finding gravity duals to gauge theories with physically more interesting renormalization group flows such as pure confining gauge theories in four dimensions. The D7branes also serve as gravitational source for Seiberg duality transitions. The supergravity background has distinct features which could be useful for constructing cosmological models and studying possibilities for probing stringy signatures from the early universe.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.1298
 Bibcode:
 2007arXiv0711.1298H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 27 pages, typos fixed, simplifications and clarifications of ansatz and solutions, and appendix B added