Thermal Giant Gravitons

Abstract

We study the giant graviton solution as the AdS_5 X S^5 background is heated up to finite temperature. The analysis employs the thermal brane probe technique based on the blackfold approach. We focus mainly on the thermal giant graviton corresponding to a thermal D3-brane probe wrapped on an S^3 moving on the S^5 of the background at finite temperature. We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S^3. We compute the free energy of the thermal giant graviton in the low temperature regime, which potentially could be compared to that of a thermal state on the gauge theory side. Moreover, we analyze the space of solutions and stability of the thermal giant graviton and find that, in parallel with the extremal case, there are two available solutions for a given temperature and angular momentum, one stable and one unstable. In order to write down the equations of motion, action and conserved charges for the thermal giant graviton we present a slight generalization of the blackfold formalism for charged black branes. Finally, we also briefly consider the thermal giant graviton moving in the AdS_5 part.

v1: 32 pages + 11 pages appendices, 13 figures, v2: typos fixed in Sec.2 and other misprints, references added

References in corpus (7)

• Holographic three-point functions of giant gravitons
• Holographic Correlation Functions for Open Strings and Branes
• Black Rings in Taub-NUT and D0-D6 interactions
• Thermodynamics of the hot BIon
• M2-M5 blackfold funnels
• Entropy of the self-dual string soliton
• Bubbling AdS Black Holes

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• Thermal DBI action for the D3-brane at weak and strong coupling
• Relativistic Elasticity of Stationary Fluid Branes
• Black Probes of Schrödinger Spacetimes
• Null-Wave Giant Gravitons from Thermal Spinning Brane Probes
• Phases of non-extremal multi-centered bound states
• Thermal transitions of metastable M-branes
• Blackfolds, Plane Waves and Minimal Surfaces
• Tension of Confining Strings at Low Temperature
• Supersymmetric Perturbations of the M5 brane
• Instabilities of Thin Black Rings: Closing the Gap
• The Flowing BIon
• Holographic duals of the $\mathcal{N}=1$* gauge theory
• New asymptotically (Anti)-de Sitter black holes in (super)gravity
• Coherent state superpositions, entanglement and gauge/gravity correspondence