How Bob Laughlin tamed the giant graviton from Taub-NUT space

Bernevig, B. Andrei; Susskind, Leonard; Toumbas, Nicolaos; Brodie, John H.

doi:10.1088/1126-6708/2001/02/003

Cited by 57 publications

(151 citation statements)

References 17 publications

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“…This is exactly the same result that was obtained for the stability of the spherical D2-brane with flux in terms of the gravitational Myers effect effect [21]. We wish to compare this result to the one calculated in [19]. In that paper they used a coordinate rescaling to simplify the initial background metric.…”

Section: Remarks On the D6-d0 Solutionsupporting

confidence: 77%

“…We have briefly examined the dual version of the QHS and found agreement [19,15] with aspects of the Abelian theory, namely that the stabilisation radius of the system is almost identical. The origin of the string contribution is unclear in our non-Abelian construction and so we have only constructed the dual picture to the dielectric effect, namely the Myers effect.…”

Section: Higher (Even) Dimensional Fuzzy Spheresmentioning

confidence: 74%

“…We consider what happens when we are in the near horizon geometry, as the constraint reduces to the following expression 19) For p ≥ 3 the leading term in the expression is dominant and so we are effectively left with the following constraint…”

Section: Background Solution and Brane Actionmentioning

confidence: 99%

“…The stringy QHS was introduced [19] as a way of establishing the link between condensed matter physics and string theory. To construct the QHS, we imagine a background of k coincident D6-branes with k strings emerging from them.…”

Section: Remarks On the D6-d0 Solutionmentioning

confidence: 99%

“…The simplicity of this approach is now clear, since we began with two distinct fields and have effectively coupled them via the conserved charge thus only requiring us now to solve for one of the fields. We now substitute the expressions for the tachyon into the energy equation, which will now be a function of r.Ẽ 7.17) and for future reference, we will introduce the simplifying notation 7.18) Rearranging the energy equation allows us to solve for r(t), which we find to be, up to constants of integration 19) where t 0 parameterises some initial time for the dynamics. This solution describes an expanding fuzzy sphere which reaches its maximum size at t = t 0 and thereafter collapses down to zero size.…”

Section: Non-abelian Tachyon Mapmentioning

confidence: 99%

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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: Remarks On the D6-d0 Solutionsupporting

confidence: 77%

Section: Higher (Even) Dimensional Fuzzy Spheresmentioning

confidence: 74%

Section: Background Solution and Brane Actionmentioning

confidence: 99%

Section: Remarks On the D6-d0 Solutionmentioning

confidence: 99%

Section: Non-abelian Tachyon Mapmentioning

confidence: 99%

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Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

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6D fractional quantum Hall effect

Heckman

Tizzano

2018

J. High Energ. Phys.

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We present a 6D generalization of the fractional quantum Hall effect involving membranes coupled to a three-form potential in the presence of a large background four-form flux. The low energy physics is governed by a bulk 7D topological field theory of abelian threeform potentials with a single derivative Chern-Simons-like action coupled to a 6D anti-chiral theory of Euclidean effective strings. We derive the fractional conductivity, and explain how continued fractions which figure prominently in the classification of 6D superconformal field theories correspond to a hierarchy of excited states. Using methods from conformal field theory we also compute the analog of the Laughlin wavefunction. Compactification of the 7D theory provides a uniform perspective on various lower-dimensional gapped systems coupled to boundary degrees of freedom. We also show that a supersymmetric version of the 7D theory embeds in M-theory, and can be decoupled from gravity. Encouraged by this, we present a conjecture in which IIB string theory is an edge mode of a 10 + 2-dimensional bulk topological theory, thus placing all twelve dimensions of F-theory on a physical footing.

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Chaos from massive deformations of Yang-Mills matrix models

Başkan

Kürkçüoğlu

Oktay

et al. 2020

J. High Energ. Phys.

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We focus on an SU(N ) Yang-Mills gauge theory in 0 + 1-dimensions with the same matrix content as the bosonic part of the BFSS matrix model, but with mass deformation terms breaking the global SO(9) symmetry of the latter to SO(5) × SO(3) × ℤ2. Introducing an ansatz configuration involving fuzzy four and two spheres with collective time dependence, we examine the chaotic dynamics in a family of effective Lagrangians obtained by tracing over the aforementioned ansatz configurations at the matrix levels $$ N=\frac{1}{6} $$ N = 1 6 (n + 1)(n + 2)(n + 3), for n = 1, 2, · · · , 7. Through numerical work, we determine the Lyapunov spectrum and analyze how the largest Lyapunov exponents(LLE) change as a function of the energy, and discuss how our results can be used to model the temperature dependence of the LLEs and put upper bounds on the temperature above which LLE values comply with the Maldacena-Shenker-Stanford (MSS) bound 2πT , and below which it will eventually be violated.

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How Bob Laughlin tamed the giant graviton from Taub-NUT space

Cited by 57 publications

References 17 publications

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

6D fractional quantum Hall effect

Chaos from massive deformations of Yang-Mills matrix models

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