M.Sc Student | Gabi Zafrir |
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Subject | Holographic Phases of Matter in 3D from AdS/CFT |

Department | Department of Physics |

Supervisor | Full Professor Bergman Oren |

Full Thesis text |

This thesis is about generalizing the
ABJM model and exploring its behavior at finite temperature. The ABJM model is
an AdS/CFT model in which the field theory is three-dimensional. In it, the
field theory is an N=6 supersymmetric Chern-Simons matter theory, with a gauge
group U(N)_{k} X U(N)_{-k} and with 2 pairs of chiral
superfields, in the bifundamental and anti-bifundamental representations,
respectively. The gravity side is M-theory in an AdS_{4} X S^{7}/Z_{k}
background. Upon dimensional reduction the gravity side becomes type IIA string
theory in an AdS_{4} X CP^{3} background.

One can include fundamental matter in
the model by adding a D6 brane. I further generalize this to finite
temperature, upon which a black hole is added to the AdS_{4}. When that
is done one finds that the theory has two possible phases, corresponding to two
qualitatively different embeddings of the D6 brane.

I will show that there is a phase transition between the two. This describes a transition between a gapped phase and an ungapped phase in the field theory. This is further supported by calculating the meson spectrum for each embedding.