# Marcus Lassila, Physics and Astronomy

**Title on Master thesis**: Holographic Duality and Strongly Interacting Quantum Matter

## Abstract:

This thesis is devoted to the applications of holographic duality to condensed matter physics. It

is centered around a ’bottom-up’ approach where the starting point is the postulation of a reasonable

gravitational bulk theory action, as opposed to the ’top-down’ models where a specific duality is derived

from a string theory setting. The main advantage with the holographic approach to condensed matter

physics is the potential ability to perform computations for strongly interacting many-body systems

which does not have a quasiparticle description. The duality maps a strongly coupled quantum field

theory to a weakly interacting gravitational theory which in principle can be solved perturabtively using

ordinary general relativity. An introduction to some of the main topics of ’bottom-up’ holography is

covered. This includes a brief introduction to large N field theories, the AdS/CFT correspondance, the

holographic dictionary, the holographic renormalization group, holographic thermodynamics, and the

Hawking-page transition and its interpretation in the light of AdS/CFT. Finally, a minimal bottom-up

model for holographic superconductivity is studied. By imposing a mixed boundary condition at the

boundary of AdS space, a dynamical photon is incorporated in the strongly coupled superconductor.

This allows charged collective excitations, e.g. plasmons, to be studied. A linear response analysis of

the minimal holographic superconductor is performed numerically in an attempt to compute plasmon

dispersion relations.

**Supervisor and Examiner:**Ulf Gran

**Opponent**: David Schörling

Category
Student project presentation

Location:

**N6115, seminar room, Kemigården 1, Fysik Origo
Starts:
21 February, 2020, 09:00

Ends:
21 February, 2020, 10:00