SUSY and Goliath

Grisaru, Marcus T.; Myers, Robert C.; Tafjord, Øyvind

doi:10.1088/1126-6708/2000/08/040

Cited by 350 publications

(658 citation statements)

References 20 publications

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“…There are several ways of understanding this: first, if the tension is switched off adiabatically, then each cusp becomes a partonic lump following a massless geodesic confined to a (D − 2)-dimensional hypersurface, identifiable as a short open pbrane attached to a (D − 2)-brane in a decoupling limit in which the effective p-brane tension is sent to infinity resulting in massless quanta on the (D − 2)-brane at the endof-the-universe [26,73,74]. Lending the terminology of [75,76,77], the (D − 2)-brane solution is a giant vacuum with a singular conformal field theory [78] living on it. The resulting tensionless spectrum of space-time one-particle states consists of symmetrized multipletons 2 18) in agreement with the above interpretation and the fact that the normal-coordinate realization of the soliton gas obeys Bose symmetry in the leading order of the semi-classical expansion.…”

Section: Tensionless Limitsmentioning

confidence: 99%

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Brane partons and singleton strings

2006

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We examine p-branes in AdS D in two limits where they exhibit partonic behavior: rotating branes with energy concentrated to cusp-like solitons; tensionless branes with energy distributed over singletonic partons on the Dirac hypercone. Evidence for a smooth transition from cusps to partons is found. First, each cusp yields D − 2 normal-coordinate bound states with protected frequencies (for p > 2 there are additional bound states); and can moreover be related to a short open p-brane whose tension diverges at the AdS boundary leading to a decoupled singular CFT at the "brane at the end-of-the-universe". Second, discretizing the closed p-brane and keeping the number N of discrete partons finite yields an sp(2N )-gauged phase-space sigma model giving rise to symmetrized Ntupletons of the minimal higher-spin algebra ho 0 (D − 1, 2) ⊃ so(D − 1, 2). The continuum limit leads to a 2d chiral sp(2)-gauged sigma model which is critical in D = 7; equivalentá la Bars-Vasiliev to an su(2)-gauged spinor string; and furthermore dual to a WZW model in turn containing a topological so(6, 2) −2 /( so(6) ⊕ so(2)) −2 coset model with a chiral ring generated by singleton-valued weight-0 spin fields. Moreover, the two-parton truncation can be linked via a reformulationá la Cattaneo-Felder-Kontsevich to a topological open string on the phase space of the D-dimensional Dirac hypercone. We present evidence that a suitable deformation of the open string leads to the Vasiliev equations based on vector oscillators and weak sp(2)-projection. Geometrically, the bi-locality reflects broken boundary-singleton worldlines, while Vasiliev's intertwiner κ can be seen to relate T and R-ordered deformations of the boundary and the bulk of the worldsheet, respectively.

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Section: Tensionless Limitsmentioning

confidence: 99%

“…The remaining conditions (3.72) and (3.73) imply 76) i.e. f E (x) obeys Bessel's differential equation in z = √ 2x with index |E|.…”

Section: Digression: Singleton Ground Statesmentioning

confidence: 99%

Brane partons and singleton strings

2006

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“…Then it is straightforward to verify that the spinor 19) where ǫ 0 satisfying all the projections conditions is a solution to the Killing spinor equation. This solution can be split in terms ofM 20) where ρ = b sinh χ.…”

Section: Global Coordinatesmentioning

confidence: 99%

At the horizon of a supersymmetricAdS₅black hole: Isometries and half-BPS giants

Sinha¹,

Sonner²,

Suryanarayana³

2007

J. High Energy Phys.

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The near-horizon geometry of an asymptotically AdS 5 supersymmetric black hole discovered by Gutowski and Reall is analysed. After lifting the solution to 10 dimensions, we explicitly solve the Killing spinor equations in both Poincaré and global coordinates. It is found that exactly four supersymmetries are preserved which is twice the number for the full black hole. The full set of isometries is constructed and the isometry supergroup is shown to be SU (1, 1|1) × SU (2) × U (3). We further study half-BPS configurations of D3-branes in the near-horizon geometry in Poincaré and global coordinates. Both giant graviton probes and dual giant graviton probes are found.

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“…A trivial translation of the results to the superconformal Lunin-Maldacena deformation [2] was obtained by simply setting γ i = γ. We found stable states for extended D3-brane solutions grown into the deformed five-sphereS 5 and also inside the AdS 5 spacetime. The striking outcome was an identical scenario to the undeformed one:…”

Section: Introductionmentioning

confidence: 82%

“…In particular, they were described as stable D3-branes sitting at the center of AdS 5 , wrapping an S 3 in the S 5 part of the geometry and traveling around an equator of the internal space. In [5,6] it was shown that also stable D3-branes blown up into AdS exist, the so-called dual giant gravitons. The main feature of both the configurations is to saturate a supersymmetric BPS bound for their energy, which turns out to be equal to their angular momentum in units of the radius of the background.…”

Section: Introductionmentioning

confidence: 99%

Giants on deformed backgrounds Part II: the gauge field fluctuations

Pirrone

2008

J. High Energy Phys.

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We study the full bosonic spectrum around giant and dual giant graviton probes in exactly marginally deformed backgrounds. Considering supersymmetric and non-supersymmetric three-parameter deformations of AdS 5 × S 5 , we perform a detailed analysis of small fluctuations for both the expanded D3-brane configurations. In particular, we enhance the scalar spectra of frequencies found in our previous paper hep-th/0609173 with the important contributions brought by the gauge field fluctuations. The giant graviton case exhibits a non-trivial coupling between scalar and vector modes driven by the deformation, whose resolution yields to a universal correction of the undeformed spectrum. On the other hand, dual giant vibrations turn out to be completely decoupled. From our results one can also easily read the gauge field fluctuations in the undeformed (dual) giant graviton scenario.

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SUSY and Goliath

Cited by 350 publications

References 20 publications

Brane partons and singleton strings

Brane partons and singleton strings

At the horizon of a supersymmetricAdS₅black hole: Isometries and half-BPS giants

Giants on deformed backgrounds Part II: the gauge field fluctuations

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SUSY and Goliath

Cited by 350 publications

References 20 publications

Brane partons and singleton strings

Brane partons and singleton strings

At the horizon of a supersymmetricAdS5black hole: Isometries and half-BPS giants

Giants on deformed backgrounds Part II: the gauge field fluctuations

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Product

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At the horizon of a supersymmetricAdS₅black hole: Isometries and half-BPS giants