Holographic spontaneous anisotropy

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http://hdl.handle.net/10138/314647

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Hoyos , C , Jokela , N , Penin , J M & Ramallo , A 2020 , ' Holographic spontaneous anisotropy ' , Journal of High Energy Physics , no. 4 , 062 . https://doi.org/10.1007/JHEP04(2020)062

Title: Holographic spontaneous anisotropy
Author: Hoyos, Carlos; Jokela, Niko; Penin, Jose Manuel; Ramallo, Alfonso
Contributor: University of Helsinki, Helsinki Institute of Physics
Date: 2020-04-09
Language: eng
Number of pages: 41
Belongs to series: Journal of High Energy Physics
ISSN: 1029-8479
URI: http://hdl.handle.net/10138/314647
Abstract: We construct a family of holographic duals to anisotropic states in a strongly coupled gauge theory. On the field theory side the anisotropy is generated by giving a vacuum expectation value to a dimension three operator. We obtain our gravity duals by considering the geometry corresponding to the intersection of D3- and D5- branes along 2+1 dimensions. Our backgrounds are supersymmetric and solve the fully backreacted equations of motion of ten-dimensional supergravity with smeared D5-brane sources. In all cases the geometry flows to AdS(5)x ?(5) in the UV, signaling an isotropic UV fixed point of the dual field theory. In the IR, depending on the parameters of the solution, we find two possible behaviors: an isotropic fixed point or a geometry with anisotropic Lifshitz-like scaling symmetry. We study several properties of the solutions, including the entanglement entropy of strips. We show that any natural extension of existing c-functions will display non-monotonic behavior, conforming with the presence of new degrees of freedom only at intermediate regions between the boundary and the origin of the holographic dual.
Subject: AdS-CFT Correspondence
D-branes
Gauge-gravity correspondence
Holography and condensed matter physics (AdS
CMT)
114 Physical sciences
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