Holographic fermionic fixed points in d=3
Holographic fermionic fixed points in d=3
复制标题
d=3 中的全息费米子不动点
DOI：
10.1007/jhep09(2011)124
复制
发表时间：
2011
影响因子：
5.4
通讯作者：
G. Semenoff
中科院分区：
文献类型：
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作者：
Joshua L. Davis;Hamid Omid;G. Semenoff
我们提出了一个自上而下的强相互作用相对论2 + 1维费米子的弦理论全息模型，特别注意宇称和时间反演不变性的离散对称性。我们的构造是基于AdS 5 × S5中的探测D 7-膜，由内通量稳定。我们找到了三个解决方案，宇称和时间反转不变的共形场理论，它可以被看作是一个特殊的变形库仑相互作用的石墨烯，宇称和时间反转违反，但无隙场理论和一个系统的宇称和时间反转违反电荷间隙。我们表明，陈-西蒙斯的电响应函数，这是微扰产生的宇称违反费米子在一个循环的顺序，这是由一个非重整化定理的订单超过一个循环，确实出现了正确的量子化系数的电荷间隙理论。在无隙宇称破坏解中，Chern-Simons响应函数得到了量子修正，我们用全息理论计算了这些修正。
We present a top-down string theory holographic model of strongly interacting relativistic 2 + 1-dimensional fermions, paying careful attention to the discrete symmetries of parity and time reversal invariance. Our construction is based on probe D7-branes in AdS5 × S5, stabilized by internal fluxes. We find three solutions, a parity and time reversal invariant conformal field theory which can be viewed as a particular deformation of Coulomb interacting graphene, a parity and time reversal violating but gapless field theory and a system with a parity and time reversal violating charge gap. We show that the Chern-Simons-like electric response function, which is generated perturbatively at one-loop order by parity violating fermions and which is protected by a no-renormalization theorem at orders beyond one loop, indeed appears with the correctly quantized coefficient in the charge gapped theory. In the gapless parity violating solution, the Chern-Simons response function obtains quantum corrections which we compute in the holographic theory.