Fuzzy Rings in D6-Branes and Magnetic Field Background

Huang, Wung-Hong

doi:10.1088/1126-6708/2004/07/012

Cited by 5 publications

(2 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It would certainly be useful to continue this line of enquiry in the future. It would also be useful to consider ring backgrounds, both for the Dp-brane and NS5-brane backgrounds as a natural extension of the work in [13,33,34,2] which could shed further light on the geometrical nature of the tachyon. The D6 ring could also be an interesting case to study, as we could imagine a more general construction of a toroidal QHS.…”

Section: Ns5-brane Backgroundmentioning

confidence: 99%

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We consider the non-Abelian action for the dynamics of NDp ′ -branes in the background of MDp-branes, which parameterises a fuzzy sphere using the SU(2) algebra. We find that the curved background leads to collapsing solutions for the fuzzy sphere except when we have D0 branes in the D6 background, which is a realisation of the gravitational Myers effect. Furthermore we find the equations of motion in the Abelian and non-Abelian theories are identical in the large N limit. By picking a specific ansatz we find that we can incorporate angular momentum into the action, although this imposes restriction upon the dimensionality of the background solutions. We also consider the case of non-Abelian non-BPS branes, and examine the resultant dynamics using world-volume symmetry transformations. We find that the fuzzy sphere always collapses but the solutions are sensitive to the combination of the two conserved charges and we can find expanding solutions with turning points. We go on to consider the coincident NS5-brane background, and again construct the non-Abelian theory for both BPS and non-BPS branes. In the latter case we must use symmetry arguments to find additional conserved charges on the world-volumes to solve the equations of motion. We find that in the Non-BPS case there is a turning solution for specific regions of the tachyon and radion fields. Finally we investigate the more general dynamics of fuzzy S 2k in the Dp-brane background, and find collapsing solutions in all cases.

show abstract

Section: Ns5-brane Backgroundmentioning

confidence: 99%

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…Recently there has been suggestion that the non-Abelian action needs to be corrected when dealing with curved backgrounds [29]. However it was shown in [17,18,19] that these corrections do not need to be included when taking the large N limit. This was demonstrated using the gravitational Myers effect [23], where the equations of motion arising from the Abelian and non-Abelian theories are identical to leading order in 1/N.…”

mentioning

confidence: 99%

Electrified fuzzy spheres and funnels in curved backgrounds

Thomas¹,

Ward²

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We use the non-Abelian DBI action to study the dynamics of N coincident Dp-branes in an arbitrary curved background, with the presence of a homogenous world-volume electric field. The solutions are natural extensions of those without electric fields, and imply that the spheres will collapse toward zero size. We then go on to consider the D1 − D3 intersection in a curved background and find various dualities and automorphisms of the general equations of motion. It is possible to map the dynamical equation of motion to the static one via Wick rotation, however the additional spatial dependence of the metric prevents this mapping from being invertible. Instead we find that a double Wick rotation leaves the static equation invariant. This is very different from the behaviour in Minkowski space. We go on to construct the most general static fuzzy funnel solutions for an arbitrary metric either by solving the static equations of motion, or by finding configurations which minimise the energy. As a consistency check we construct the Abelian D3-brane world-volume theory in the same generic background and find solutions consistent with energy minimisation. In the N S5-brane background we find time dependent solutions to the equations of motion, representing a time dependent fuzzy funnel. These solutions match those obtained from the D-string picture to leading order suggesting that the action in the large N limit does not need corrections. We conclude by generalising our solutions to higher dimensional fuzzy funnels.

show abstract