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Title: 'Nernst branes' from special geometry
Author: Errington, D. C.
ISNI:       0000 0004 6422 1814
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 2016
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This thesis is concerned with obtaining black brane solutions to Fayet-Iliopoulos gauged N=2 supergravity that obey the strong, Planckian version of the third law of black hole mechanics. We first construct a new two-parameter family of black brane solutions to gauged N=2 supergravity in four dimensions using time-like dimensional reduction as a solution generating technique. The solutions we obtain have zero entropy density in the zero temperature limit and hence satisfy the strong, Planckian version of the third law of black hole mechanics. Therefore, these "Nernst branes" could be holographically dual to (2+1)-dimensional systems in condensed matter physics where such behaviour is considered generic. Whilst the spacetime interpolates between different hyperscaling-violating Lifshitz geometries and thus correctly captures the scaling behaviour of such condensed matter systems, we observe singular behaviour in both the near horizon and asymptotic regimes. For the "very special" class of four-dimensional models under consideration, it is natural to try to resolve such behaviour by lifting the solution to five dimensions. Doing so, we find a family of boosted AdS-Schwarzschild black branes that continue to satisfy the third law. With AdS asymptotics comes access to techniques that allow for a more complete thermodynamic analysis. At the same time, this geometry fits naturally into gauge-gravity duality and resolves all asymptotic singular behaviour, suggesting the four-dimensional solution was unable to access the full degrees of freedom of the system. Interestingly however, the near horizon singularity persists which may suggest that a unique ground state is always accompanied by singular behaviour of the horizon.
Supervisor: Mohaupt, T. M. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral