Abstract
We study collective excitations of cold (2+1)-dimensional fundamental matter living on a defect of the four-dimensional N=4 super Yang–Mills theory in the Higgs branch. This system is realized holographically as a D3–D5 brane intersection, in which the D5-brane is treated as a probe with a non-zero gauge flux across the internal part of its worldvolume. We study the holographic zero sound mode in the collisionless regime at low temperature and find a simple analytic result for its dispersion relation. We also find the diffusion constant of the system in the hydrodynamic regime at higher temperature. In both cases we study the dependence on the flux parameter which determines the amount of Higgs symmetry breaking. We also discuss the anyonization of this construction.
Highlights
The gauge/gravity holographic duality has been recently employed to study compressible states of cold matter [1,2,3,4]
In this paper we study the collective behavior of cold matter confined to the defect, when the system is in the Higgs branch
In this paper we studied the collective excitations of cold holographic matter confined to a (2 + 1)-dimensional defect of 4d N = 4 super Yang–Mills theory in the Higgs branch
Summary
The gauge/gravity holographic duality has been recently employed to study compressible states of cold matter [1,2,3,4] In these studies the intersection of two different types of branes (Dp and Dq with q ≥ p) is considered. On the field theory side the probe branes add hypermultiplets in the fundamental representation of the gauge group [5]. These matter fields live generically in a defect of the unflavored theory. In the brane setup the non-zero charge density needed to have a compressible state is generated by turning on a worldvolume gauge field [7].
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