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Emergent black hole physics from conformal field theory thermodynamics

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University of Groningen

Emergent black hole physics from conformal field theory thermodynamics

Vos, Gideon

DOI:

10.33612/diss.98791310

IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from

it. Please check the document version below.

Document Version

Publisher's PDF, also known as Version of record

Publication date:

2019

Link to publication in University of Groningen/UMCG research database

Citation for published version (APA):

Vos, G. (2019). Emergent black hole physics from conformal field theory thermodynamics. University of

Groningen. https://doi.org/10.33612/diss.98791310

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Semi-classical 2d CFTs form a perfect middleground between the complexity of their displayed phenomena and their analytic tractability.

I

Lorentzian time-evolution of ’light’ operators is controlled by the monodromy of solutions to a Fuchsian equation along a circular contour.

I

Thermalization manifests itself as a Markov chain process involving a monodromy matrix along a circular contour with real eigenvalues.

I

The expectation values of the Virasoro charges act as thermodynamic equation of state variables in the large central charge limit.

I

Thermalization can be triggered by increasing the energy expectation value without affecting the other Virasoro charges. This is similar to causing a transition to a black hole phase in the dual gravitational theory.

I

One can construct a set of lower bounds which the total energy needs to satisfy in order for a state to thermalize. This can be thought of as bounding the phase diagram for semi-classical CFT.

I

Semi-classical 2d CFTs form a perfect middleground between the complexity of their displayed phenomena and their analytic tractability.

I

Lorentzian time-evolution of ’light’ operators is controlled by the monodromy of solutions to a Fuchsian equation along a circular contour.

I

Thermalization manifests itself as a Markov chain process involving a monodromy matrix along a circular contour with real eigenvalues.

I

The expectation values of the Virasoro charges act as thermodynamic equation of state variables in the large central charge limit.

I

Thermalization can be triggered by increasing the energy expectation value without affecting the other Virasoro charges. This is similar to causing a transition to a black hole phase in the dual gravitational theory.

I

One can construct a set of lower bounds which the total energy needs to satisfy in order for a state to thermalize. This can be thought of as bounding the phase diagram for semi-classical CFT.

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