Giants on deformed backgrounds Part II: the gauge field fluctuations

Pirrone, Marco

doi:10.1088/1126-6708/2008/03/034

Cited by 8 publications

(3 citation statements)

References 16 publications

(65 reference statements)

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“…The choice of (3.1) and (3.2) as the perturbative ansatz for the giant graviton emphasizes that we study the full bosonic spectrum; in other words we turn on both the scalar and the gauge field fluctuations on the worldvolume of the D3brane. Similarly to the giant graviton fluctuations in the marginally deformed N = 4 SYM (see [47] and [58]) the analysis of this section will reveal that the Schrödinger deformation of the background induces a non-trivial coupling between the scalar and the vector modes. This coupling in turn indicates that in order to correctly determine the dependence of the frequencies on the deformation parameter the fluctuations of the gauge fields have to be taken account and it is not consistent to set them to zero.…”

Section: Perturbative Stability Of the Giant Graviton Solutionmentioning

confidence: 82%

Giant gravitons on the Schrödinger pp-wave geometry

Georgiou

Zoakos

2020

J. High Energ. Phys.

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We construct a new giant graviton solution on the recently constructed ppwave geometry of the non-supersymmetric Schrödinger background. That solution exhibits an intriguing behavior as the deformation parameter of the spacetime varies. Firstly, the degeneracy between the giant and the point graviton is lifted for the benefit of the giant graviton as soon as the deformation is turned on. Secondly, when the deformation parameter exceeds a critical value the barrier separating the point from the giant graviton disappears. This suggests that the mere presence of a D3-brane leads to the spontaneous breaking of conformal invariance. We perform a detailed analysis of the full bosonic spectrum, which reveals that the deformation induces a coupling between the scalar and the gauge field fluctuations. It is exactly this coupling that keeps the giant graviton free of tachyonic instabilities. Furthermore, the giant graviton configuration completely breaks the supersymmetry of the pp-wave background, as the Kappa-symmetry analysis suggests.

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Section: Perturbative Stability Of the Giant Graviton Solutionmentioning

confidence: 82%

Giant gravitons on the Schrödinger pp-wave geometry

Georgiou

Zoakos

2020

J. High Energ. Phys.

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“…It would also be interesting to study giant gravitons [33] on our new backgrounds. Giants on ten-dimensional β deformed solutions were analyzed in [34][35][36][37]. It is desirable to extend these to D = 11 and to other types of deformations, which we aim to study in the near future.…”

Section: Discussionmentioning

confidence: 99%

Beta, dipole and noncommutative deformations of M -theory backgrounds with one or more parameters

Çatal-Özer

Deger

2009

Class. Quantum Grav.

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We construct new M-theory solutions starting from those that contain 5 U (1) isometries. We do this by reducing along one of the 5-torus directions, then T-dualizing via the action of an O(4, 4) matrix and lifting back to 11-dimensions. The particular T-duality transformation is a sequence of O(2, 2) transformations embedded in O(4, 4), where the action of each O(2, 2) gives a Lunin-Maldacena deformation in 10-dimensions. We find general formulas for the metric and 4-form field of single and multiparameter deformed solutions, when the 4-form of the initial 11-dimensional background has at most one leg along the 5-torus. All the deformation terms in the new solutions are given in terms of subdeterminants of a 5 × 5 matrix, which represents the metric on the 5-torus. We apply these results to several M-theory backgrounds of the type AdS r × X 11−r . By appropriate choices of the T-duality and reduction directions we obtain analogues of beta, dipole and noncommutative deformations. We also provide formulas for backgrounds with only 3 or 4 U (1) isometries and study a case, for which our assumption for the 4-form field is violated.

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“…One may consider other probes in the Lunin-Maldacena background (6.11), and in particular giant gravitons have been shown to be relevant for the study of the theory on S 3 [34,27,35]. In that case, an explicit map was constructed between D5-brane dual giant gravitons, wrapped on the two-torus (ϕ 1 , ϕ 2 ), that are stable when γ is rational, and rotating expectation values in the additional branches of the gauge theory [27].…”

Section: β-Deformationmentioning

confidence: 99%

On deformed gauge theories and their string/M-theory duals

Imeroni¹

2008

J. High Energy Phys.

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We present general formulae for the TsT transformation (T-duality, shift, T-duality) of type II string backgrounds and open string boundary conditions. The TsT transformation provides a systematic procedure to find string theory duals of gauge theories with deformed products of fields in the lagrangian, and the duals can be analyzed by using transformed D-brane probes. As examples illustrating some features of the deformed theories, we consider the known backgrounds dual to non-commutative, dipole and βdeformed N = 4 Super Yang-Mills as well as new backgrounds dual to deformations of the recently proposed N = 6 Chern-Simons-matter theory living on multiple M2-branes on an orbifold.

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Giants on deformed backgrounds Part II: the gauge field fluctuations

Cited by 8 publications

References 16 publications

Giant gravitons on the Schrödinger pp-wave geometry

Giant gravitons on the Schrödinger pp-wave geometry

Beta, dipole and noncommutative deformations of M -theory backgrounds with one or more parameters

On deformed gauge theories and their string/M-theory duals

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