Non-abelian brane intersections

Constable, Neil R.; Myers, Robert C.; Tafjord, Øyvind

doi:10.1088/1126-6708/2001/06/023

Cited by 114 publications

(284 citation statements)

References 43 publications

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“…For a detailed description of these constructions we refer the interested reader to [31,32,11] and the references therein In terms of the physical radius we find a similar relationship to the case of the SU(2) algebra, where we write 3) note that in this instance R must be positive definite and the Casimir is given by products of the G i , as usual, where we have…”

Section: Higher (Even) Dimensional Fuzzy Spheresmentioning

confidence: 64%

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

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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.

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Section: Higher (Even) Dimensional Fuzzy Spheresmentioning

confidence: 64%

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

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“…Indeed, given that this solution is static, one can immediately derive its energy from the full non-Abelian DBI action of a stack of N D6-branes extended along σ. Remarkably, this energy density can be expressed as the square root of a sum of perfect squares [20]: 6) where STr denotes the symmetrized trace [14,21,22]. Thus any solution of (3.3)-(3.4) sets the first square to zero and, as one expects for supersymmetric solutions, also satisfies the full non-Abelian equations of motion [15].…”

Section: Jhep11(2016)179mentioning

confidence: 97%

There and back again: a T-brane’s tale

Bena

Blåbäck

Minasian

et al. 2016

J. High Energ. Phys.

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T-branes are supersymmetric configurations described by multiple Dp-branes with worldvolume flux and non-commuting vacuum expectation values for two of the worldvolume scalars. When these values are much larger than the string scale this description breaks down. We show that in this regime the correct description of T-branes is in terms of a single Dp-brane, whose worldvolume curvature encodes the T-brane data. We present the tale of the journey to reach this picture, which takes us through T-dualities and rugbyball-shaped brane configurations that no eye has gazed upon before.

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“…In these cases the large-N limit often has some sort of abelian geometrical description. For the leading large-N in these cases the ordering of Matrices does not matter and, at the level of classical equations of motion, the system can be compared with an abelian dual [10,11]. Here we have extended the comparison to fluctuations and found agreement.…”

Section: Discussion and Outlookmentioning

confidence: 58%

“…Related systems involve D1⊥D3 brane intersections [7,8,9]. Equivalence at the level of classical solutions exists in a large class of examples [5,10,11] including higher dimensional fuzzy spheres [12,13,14,15,16]. It is natural to explore whether the equivalence at the level of classical solutions extends to an equivalence at the level of quadratic fluctuations.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states

Papageorgakis

Ramgoolam

Toumbas

2006

J. High Energy Phys.

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We study fluctuations of time-dependent fuzzy two-sphere solutions of the non-abelian DBI action of D0-branes, describing a bound state of a spherical D2-brane with N D0-branes. The quadratic action for small fluctuations is shown to be identical to that obtained from the dual abelian D2-brane DBI action, using the non-commutative geometry of the fuzzy two-sphere. For some of the fields, the linearized equations take the form of solvable Lamé equations. We define a large-N DBI-scaling limit, with vanishing string coupling and string length, and where the gauge theory coupling remains finite. In this limit, the non-linearities of the DBI action survive in both the classical and the quantum context, while massive open string modes and closed strings decouple. We describe a critical radius where strong gauge coupling effects become important. The size of the bound quantum ground state of multiple D0-branes makes an intriguing appearance as the radius of the fuzzy sphere, where the maximal angular momentum quanta become strongly coupled. †

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Non-abelian brane intersections

Cited by 114 publications

References 43 publications

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

There and back again: a T-brane’s tale

Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states

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