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Noncommutative effects of spacetime on holographic superconductors

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arxiv 1603.03598 v1 pith:KL73LRQM submitted 2016-03-11 hep-th gr-qc

Noncommutative effects of spacetime on holographic superconductors

classification hep-th gr-qc
keywords noncommutativecriticalhigherspacetimevalueblackborn-infeldcondensate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Sturm-Liouville eigenvalue method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics incorporating the effects of noncommutative spacetime. In the background of pure Einstein gravity in noncommutative spacetime, we obtain the relation between the critical temperature and the charge density. We also obtain the value of the condensation operator and the critical exponent. Our findings suggest that higher the value of noncommutative parameter and Born-Infeld parameter make the condensate harder to form. We also observe that the critical temperature depends on the mass of the black hole and higher value of black hole mass is favourable for the formation of the condensate.

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    hep-th 2026-03 conditional novelty 5.0

    A first-order Seiberg–Witten twist of the bulk gauge fields lowers the critical magnetic field of 3D and 4D holographic superconductors, Bc = Bc⁰(1 − Bc⁰ k̄), mimicking a stronger applied field B_eff = B(1+Bθ).