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Spinning flavor branes and fermion pairing instabilities

Prem Kumar Orcid Logo

Physical Review D, Volume: 84, Issue: 2

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.84.026003

Abstract

We consider probe Dp-branes, p = 3, 5, 7, in global AdS5 × S5, rotating along an internal direction in the S5. These are dual to strongly interacting N = 4 SYM on S3 with massless fundamental flavours, in the presence of an R-symmetry chemical potential for flavour fermions. For massless, “AdS-filli...

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Published in: Physical Review D
Published: 2011
URI: https://cronfa.swan.ac.uk/Record/cronfa7465
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Abstract: We consider probe Dp-branes, p = 3, 5, 7, in global AdS5 × S5, rotating along an internal direction in the S5. These are dual to strongly interacting N = 4 SYM on S3 with massless fundamental flavours, in the presence of an R-symmetry chemical potential for flavour fermions. For massless, “AdS-filling” Dp-brane embed- dings at zero temperature, we find an infinite set of threshold values of the chemical potential at which instabilities are triggered. The onset of instability is always pre- ceded by metastability of the zero density state. From the onset values of the chemical potential, we infer that unstable directions favour a homogeneous condensate of a bilinear made from fermion harmonics, or Cooper pairing. We confirm this picture both numerically and analytically. The linearized analysis showing the appearance of instabilities involves a charged scalar in global AdS space coupled to a (large) constant background gauge potential. The resulting frequency space correlator of the fermion bilinear at strong coupling displays poles in the upper half plane. In contrast, the correlator at zero coupling exhibits Pauli blocking due to occupation of states below the Fermi level, but no instabilities. The end-point of the strong coupling instability is not visible in our setup.
College: Faculty of Science and Engineering
Issue: 2