Strong Coupling Dynamics of the Higgs Branch: Rolling a Higgs by Collapsing an Instanton

Details Strong Coupling Dynamics of the Higgs Branch: Rolling a Higgs by Collapsing an Instanton Strong Coupling Dynamics of the Higgs Branch: Rolling a Higgs by Collapsing an Instanton

2004-12-07

arxiv.org/abs/hep-th/0412074v2

Nucl.Phys. B732 (2006) 46-63

Physics

High Energy Physics

High Energy Physics - Theory

Reference added

Scientific paper

10.1016/j.nuclphysb.2005.09.018

We construct the dual supergravity description of strongly coupled, large $N$, eight-supercharge gauge theories with fundamental hypermultiplets at points on the mixed Coulomb-Higgs branch. With certain assumptions about unknown couplings of D-branes to supergravity, this construction gives the correct metric on the hypermultiplet (Higgs-branch) component the moduli space, which decouples from the vector multiplet (Coulomb-branch) moduli. Going beyond the geodesic approximation, we find that the dynamics of a hypermultiplet VEV rolling towards a singularity on the Higgs component of the moduli space is sensitive to the vector multiplet moduli. The dual description of the approach to the singularity involves collapsing ``instantons'' of a non-Abelian Dirac-Born-Infeld theory in a curved background. In general, we find a decelerating approach to the singularity, although the manner of deceleration depends on the vector multiplet moduli. Upon introducing a potential on the Higgs branch of a four dimensional ${\cal N}=2$ theory coupled to gravity, this deceleration mechanism might lead to interesting inflating cosmologies analogous those studied recently by Alishahiha, Silverstein and Tong.

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