Abstract
We construct a black hole geometry generated by the intersection of Nc color D3- branes and Nf flavor D5-branes along a 2+1 dimensional subspace. Working in the Veneziano limit in which Nf is large and distributing homogeneously the D5-branes in the internal space, we calculate the solution of the equations of motion of supergravity plus sources which includes the backreaction of the flavor branes. The solution is analytic and dual to a 2+1 dimensional defect in a 3+1 dimensional gauge theory, with Nf massless hypermultiplets living in the defect. The smeared background we obtain can be regarded as the holographic realization of a multilayered system. We study the thermodynamics of the resulting spatially anisotropic geometry and compute the first and second order transport coefficients for perturbations propagating along the defect. We find that, in our system, the dynamics of excitations within a layer can be described by a stack of effective D2-branes.
Highlights
The holographic AdS/CFT correspondence [1] has become a useful and powerful tool to study quantum field theories in the strongly coupled regime
We study the thermodynamics of the resulting spatially anisotropic geometry and compute the first and second order transport coefficients for perturbations propagating along the defect
We have succeeded in generalizing the D3-D5 geometry of [25] to include an event horizon
Summary
The holographic AdS/CFT correspondence [1] has become a useful and powerful tool to study quantum field theories in the strongly coupled regime (see [2,3,4] for reviews). In the past this D3-D5 setup was extensively studied in the approximation in which the D5-branes are considered as probes in the D3-brane geometry (see, for example, [9,10,11,12,13,14,15,16]) This is the socalled quenched approximation, which corresponds, in the field theory side, to neglecting the quark dynamical effects due to quark loops. This is in contrast to our approach, where the flavor branes are dynamical sources By smearing these sources we get simpler supersymmetric solutions, which can be generalized to construct a black hole. The regulating boundary term for this action contains a bulk superpotential, as well as a superpotential generated by the flavor branes We use both the four and five dimensional regulated actions to calculate the VEV of the stress-energy tensor and to confirm the values obtained in the thermodynamic analysis. The paper is completed with four appendices with details of the calculations presented in the main text
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
