On pulsating strings in Schrodinger backgrounds

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.

Section: Introductionmentioning

confidence: 98%

Giant gravitons on the Schrödinger pp-wave geometry

Georgiou

Zoakos

2020

“…These studies have been complemented with finite size corrections recently presented in [38]. Pulsating string holography in this background was also studied in [35].…”

Section: Jhep08(2020)090mentioning

confidence: 98%

“…It has been shown that Schrödinger holography matches the anomalous dimensions of certain gauge theory operators with calculation in BMN string limit. The established integrability and results of [30] have motivated further study of the correspondence in non-relativistic cases, see for instance [31][32][33][34][35][36][37]. The BMN string spectrum has been considered in [33] while strings on Schrödinger pp-wave background [36] have been complemented with the study of giant gravitons in the same background [37].…”

Section: Jhep08(2020)090mentioning

confidence: 99%

More on Schrödinger holography

Golubtsova

Dimov

Iliev

et al. 2020

Self Cite

We find explicit solutions for giant magnons and spiky strings living on the Schrödinger space Schr 5 × T 1,1 and compute dispersion relations. The holographic dual field theory is conjectured to be a non-local dipole-deformed CFT at strong coupling. We find that the dependence between conserved charges in the dispersion relations is transcendental, which is quite different from the most symmetric case of spherical internal space. Keeping the squashing parameter b general allows us to take some limits and to compare our results to known cases.

“…The solution exhibits an intriguing behavior as the deformation parameter varies, which is suggestive of a spontaneous breaking of conformal invariance. Finally, pulsating strings solutions in the Schrödinger background were constructed in [26].…”

Section: Jhep08(2020)091mentioning

confidence: 99%

Finite size effects in classical string solutions of the Schrödinger geometry

Zoakos

2020

We study finite size corrections to the semiclassical string solutions of the Schrödinger spacetime. We compute the leading order exponential corrections to the infinite size dispersion relation of the single spin giant magnon and of the single spin single spike solutions. The solutions live in a S 3 subspace of the five-sphere and extent in the Schrödinger part of the metric. In the limit of zero deformation the finite size dispersion relations flow to the undeformed AdS 5 × S 5 counterparts and in the infinite size limit the correction term vanishes and the known infinite size dispersion relations are obtained.