TY - JOUR
T1 - Thermal Giant Gravitons
AU - Armas, Jácome Saldanha N de O B
AU - Harmark, Troels
AU - Obers, Niels Anne Jacob
AU - Orselli, Marta
AU - Pedersen, Andreas Vigand
PY - 2012/11/28
Y1 - 2012/11/28
N2 - We study the giant graviton solution as the AdS 5 × 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 briey consider the thermal giant graviton moving in the AdS 5 part.
AB - We study the giant graviton solution as the AdS 5 × 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 briey consider the thermal giant graviton moving in the AdS 5 part.
U2 - 10.1007/jhep11(2012)123
DO - 10.1007/jhep11(2012)123
M3 - Journal article
SN - 1126-6708
VL - 2012
SP - 123
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
ER -