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arXiv 1710.00548hep-th
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具有未淬灭味道的各向异性D3-D5黑洞

Anisotropic D3-D5 black holes with unquenched flavors

Jose Manuel Penin, Alfonso V. Ramallo, Dimitrios Zoakos

摘要:

我们构造了一个由$N_c$色D3-膜和$N_f$味D5-膜沿2+1维子空间相交而成的黑洞几何.在Veneziano极限下,当$N_f$很大且D5-膜在内部空间均匀分布时,我们计算了包含味膜反反应的超引力加源运动方程的解.在3+1维规范理论中,该解是解析的,并且是2+1维缺陷的对偶,缺陷中存在$N_f$无质量超多重态。我们得到的模糊背景可以看作是一个多层系统的全息实现。我们研究了由此产生的空间各向异性几何形状的热力学,并计算了沿缺陷传播的扰动的一阶和二阶输运系数。我们发现,在我们的系统中,一层内的激发动力学可以描述的有效的D2膜的堆栈。

英文摘要:

We construct a black hole geometry generated by the intersection of $N_c$ color D3- branes and $N_f$ flavor D5-branes along a 2+1 dimensional subspace. Working in the Veneziano limit in which $N_f$ 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 $N_f$ 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.

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