Fermionic operator mixing in holographic p-wave superfluids

Journal of High Energy Physics (Impact Factor: 6.11). 05/2010; 2010(5):1-67. DOI: 10.1007/JHEP05(2010)053
Source: arXiv


We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory
in p-wave superfluid states. The field theory is (3+1)-dimensional N = 4 \mathcal{N} = 4 supersymmetric SU(N

) Yang-Mills theory, in the ’t Hooft limit and with large coupling, coupled to two massless flavors of (2+1)-dimensional N = 4 \mathcal{N} = 4 supersymmetric matter. We show that a sufficiently large chemical potential for a U(1) subgroup of the global SU(2) isospin
symmetry triggers a phase transition to a p-wave superfluid state, and in that state we compute spectral functions for the
fermionic superpartners of mesons valued in the adjoint of SU(2) isospin. In the spectral functions we see the breaking of
rotational symmetry and the emergence of a Fermi surface comprised of isolated points as we cool the system through the superfluid
phase transition. The dual gravitational description is two coincident probe D5-branes in AdS
5 × S
5 with non-trivial worldvolume SU(2) gauge fields. We extract spectral functions from solutions of the linearized equations
of motion for the D5-branes’ worldvolume fermions, which couple to one another through the worldvolume gauge field. We develop
an efficient method to compute retarded Green’s functions from a system of coupled bulk fermions. We also perform the holographic
renormalization of free bulk fermions in any asymptotically Euclidean AdS space.

KeywordsGauge-gravity correspondence-AdS-CFT Correspondence-Brane Dynamics in Gauge Theories

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Available from: Matthias Kaminski, Jan 02, 2014
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    • "In particular, new results for fermionic correlators have been found in models which describe strongly coupled systems that are interesting in view of applications to condensed matter physics [11–14] [15] [16] [17]. Such systems have also been studied from a top-down perspective in [18] [19] or more recently in [20] [21]. This naturally leads to the question if from these correlators we may find universal results which are similar to the universality of η/s. "
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    Journal of High Energy Physics 02/2013; 2013(7). DOI:10.1007/JHEP07(2013)018 · 6.11 Impact Factor
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    • "In this case the dual field theory is known explicitly. For example p-wave superfluids [9] [10] [11], Fermi surfaces [12] and the gravity dual of a Quantum Hall Plateau transition [13] were investigated. "
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    • "Motivated by these results it is natural to extend them to a top-down setting. Fermion spectral functions using probe branes were studied in [6]. Here we will carry out a top-down analysis for the fermionic supersymmetry current, or " supercurrent " , in the most general class of N = 2 d = 3 SCFTs that have AdS 4 × M duals in either D = 10 or D = 11 supergravity. "
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